Anthony M. Bloch - Publications

Affiliations: 
University of Michigan, Ann Arbor, Ann Arbor, MI 
Area:
Mathematics

142 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2020 Clark W, Bloch AM, Colombo L. A Poincaré-Bendixson theorem for hybrid systems Mathematical Control and Related Fields. 10: 27-45. DOI: 10.3934/Mcrf.2019028  0.373
2020 Clark W, Bloch AM, Colombo L, Rooney P. Time-minimum control of quantum purity for 2-level Lindblad equations Arxiv: Optimization and Control. 13: 1061-1073. DOI: 10.3934/Dcdss.2020063  0.403
2020 Adams FC, Batygin K, Bloch AM. Energy optimization in binary star systems: explanation for equal mass members in close orbits Monthly Notices of the Royal Astronomical Society. 494: 2289-2298. DOI: 10.1093/Mnras/Staa850  0.588
2020 Adams FC, Batygin K, Bloch AM, Laughlin G. Energy optimization in extrasolar planetary systems: the transition from peas-in-a-pod to runaway growth Monthly Notices of the Royal Astronomical Society. 493: 5520-5531. DOI: 10.1093/Mnras/Staa624  0.579
2020 Shi D, Zenkov DV, Bloch AM. Hamel’s Formalism for Classical Field Theories Journal of Nonlinear Science. 30: 1307-1353. DOI: 10.1007/S00332-020-09609-W  0.367
2019 Bloch A, Camarinha M, Colombo LJ. Dynamic interpolation for obstacle avoidance on Riemannian manifolds International Journal of Control. 1-13. DOI: 10.1080/00207179.2019.1603400  0.311
2019 Clark W, Bloch A. A Poincaré–Bendixson theorem for hybrid dynamical systems on directed graphs Mathematics of Control, Signals, and Systems. 32: 1-18. DOI: 10.1007/S00498-019-00251-W  0.353
2018 Rooney P, Bloch AM, Rangan C. Steering the Eigenvalues of the Density Operator in Hamiltonian-Controlled Quantum Lindblad Systems Ieee Transactions On Automatic Control. 63: 672-681. DOI: 10.1109/Tac.2017.2742361  0.333
2018 Gupta R, Kalabić UV, Bloch AM, Kolmanovsky IV. Solution to the HJB equation for LQR-type problems on compact connected Lie groups Automatica. 95: 525-528. DOI: 10.1016/J.Automatica.2017.11.013  0.402
2018 Farré Puiggalí M, Bloch AM. An Extension to the Theory of Controlled Lagrangians Using the Helmholtz Conditions Journal of Nonlinear Science. 29: 345-376. DOI: 10.1007/S00332-018-9490-X  0.367
2017 Ronquist S, Patterson G, Muir LA, Lindsly S, Chen H, Brown M, Wicha MS, Bloch A, Brockett R, Rajapakse I. Algorithm for cellular reprogramming. Proceedings of the National Academy of Sciences of the United States of America. PMID 29078370 DOI: 10.1073/Pnas.1712350114  0.327
2017 Lee DY, Gupta R, Kalabić UV, Di Cairano S, Bloch AM, Cutler JW, Kolmanovsky IV. Geometric Mechanics Based Nonlinear Model Predictive Spacecraft Attitude Control with Reaction Wheels Journal of Guidance, Control, and Dynamics. 40: 309-319. DOI: 10.2514/1.G001923  0.339
2017 Bloch AM, Colombo LJ, Gupta R, Ohsawa T. Optimal Control Problems with Symmetry Breaking Cost Functions Siam Journal On Applied Algebra and Geometry. 1: 626-646. DOI: 10.1137/16M1091654  0.609
2017 Bloch AM, Gay-Balmaz F, Ratiu TS. Coadjoint orbits in duals of Lie algebras with admissible ideals Sbornik: Mathematics. 208: 1421-1448. DOI: 10.1070/Sm8757  0.315
2017 Kalabić UV, Gupta R, Di Cairano S, Bloch AM, Kolmanovsky IV. MPC on manifolds with an application to the control of spacecraft attitude on SO(3) Automatica. 76: 293-300. DOI: 10.1016/J.Automatica.2016.10.022  0.357
2017 Bloch AM, Gay-Balmaz F, Ratiu TS. The Geometric Nature of the Flaschka Transformation Communications in Mathematical Physics. 352: 457-517. DOI: 10.1007/S00220-017-2854-5  0.347
2016 Bloch AM, Gupta R, Kolmanovsky IV. Neighboring extremal optimal control for mechanical systems on riemannian manifolds Journal of Geometric Mechanics. 8: 257-272. DOI: 10.3934/Jgm.2016007  0.372
2016 Razavi H, Gupta R, Adams FC, Bloch AM. Stability of a class of coupled Hill's equations and the Lorentz oscillator model Siam Journal On Applied Dynamical Systems. 15: 1104-1123. DOI: 10.1137/15M1033228  0.59
2016 Rooney P, Bloch AM, Rangan C. Flag-based control of quantum purity forn=2systems Physical Review A. 93. DOI: 10.1103/Physreva.93.063424  0.412
2016 Adams FC, Bloch AM. The stability of tidal equilibrium for hierarchical star-planet-moon systems Monthly Notices of the Royal Astronomical Society. 462: 2527-2541. DOI: 10.1093/Mnras/Stw1883  0.597
2016 Razavi H, Bloch AM, Chevallereau C, Grizzle JW. Symmetry in legged locomotion: a new method for designing stable periodic gaits Autonomous Robots. 41: 1119-1142. DOI: 10.1007/S10514-016-9593-X  0.331
2016 Shi D, Berchenko-Kogan Y, Zenkov DV, Bloch AM. Hamel’s Formalism for Infinite-Dimensional Mechanical Systems Journal of Nonlinear Science. 27: 241-283. DOI: 10.1007/S00332-016-9332-7  0.39
2016 Gupta R, Bloch AM, Kolmanovsky IV. Combined homotopy and neighboring extremal optimal control Optimal Control Applications and Methods. DOI: 10.1002/Oca.2253  0.369
2015 Adams FC, Coppess KR, Bloch AM. Planets in other universes: Habitability constraints on density fluctuations and galactic structure Journal of Cosmology and Astroparticle Physics. 2015. DOI: 10.1088/1475-7516/2015/09/030  0.544
2015 Colombo L, Gupta R, Bloch A. Higher-order constrained variational problems on principal bundles with applications to optimal control of underactuated systems Ifac Proceedings Volumes (Ifac-Papersonline). 48: 87-92. DOI: 10.1016/J.Ifacol.2015.10.219  0.392
2014 Adams FC, Bloch AM. On the stability of extrasolar planetary systems and other closely orbiting pairs Monthly Notices of the Royal Astronomical Society. 446: 3676-3686. DOI: 10.1093/Mnras/Stu2397  0.602
2014 Fernandez OE, Bloch AM, Zenkov DV. The geometry and integrability of the Suslov problem Journal of Mathematical Physics. 55. DOI: 10.1063/1.4901754  0.624
2013 Bloch AM, Crouch PE, Nordkvist N. Continuous and discrete embedded optimal control problems and their application to the analysis of clebsch optimal control problems and mechanical systems Journal of Geometric Mechanics. 5: 1-38. DOI: 10.3934/Jgm.2013.5.1  0.372
2013 Sanyal AK, Bohn J, Bloch AM. Almost global finite time stabilization of rigid body attitude dynamics Proceedings of the Ieee Conference On Decision and Control. 3261-3266. DOI: 10.1109/CDC.2013.6760381  0.492
2013 Adams FC, Anderson KR, Bloch AM. Evolution of planetary systems with time-dependent stellar mass-loss Monthly Notices of the Royal Astronomical Society. 432: 438-454. DOI: 10.1093/Mnras/Stt479  0.573
2013 Adams FC, Bloch AM. Evolution of planetary orbits with stellar mass loss and tidal dissipation Astrophysical Journal Letters. 777. DOI: 10.1088/2041-8205/777/2/L30  0.574
2013 Ketchum JA, Adams FC, Bloch AM. Mean motion resonances in exoplanet systems: An investigation into nodding behavior Astrophysical Journal. 762. DOI: 10.1088/0004-637X/762/2/71  0.769
2013 Adams FC, Bloch AM. Hill's equation with small fluctuations: Cycle to cycle variations and stochastic processes Journal of Mathematical Physics. 54. DOI: 10.1063/1.4795351  0.575
2013 Adams FC, Bloch AM, Lagarias JC. Random Hill's Equations, Random Walks, and Products of Random Matrices Springer Proceedings in Mathematics and Statistics. 35: 447-470. DOI: 10.1007/978-3-0348-0451-6_17  0.454
2012 Fernandez OE, Bloch AM, Olver PJ. Variational integrators for hamiltonizable nonholonomic systems Journal of Geometric Mechanics. 4: 137-163. DOI: 10.3934/Jgm.2012.4.137  0.622
2012 Ball KR, Zenkov DV, Bloch AM. Variational structures for Hamel's equations and stabilization Ifac Proceedings Volumes (Ifac-Papersonline). 178-183. DOI: 10.3182/20120829-3-It-4022.00010  0.411
2012 Altafini C, Bloch AM, James MR, Loria A, Rouchon P. Guest editorial: Special issue on control of quantum mechanical systems Ieee Transactions On Automatic Control. 57: 1893-1895. DOI: 10.1109/Tac.2012.2202053  0.302
2012 Maruskin JM, Bloch AM, Marsden JE, Zenkov DV. A fiber bundle approach to the transpositional relations in nonholonomic mechanics Journal of Nonlinear Science. 22: 431-461. DOI: 10.1007/S00332-012-9144-3  0.768
2011 Bloch AM, Crouch PE, Nordkvist N, Sanyal AK. Embedded geodesic problems and optimal control for matrix lie groups Journal of Geometric Mechanics. 3: 197-223. DOI: 10.3934/Jgm.2011.3.197  0.598
2011 Ohsawa T, Bloch AM, Leok M. Discrete Hamilton-Jacobi theory Siam Journal On Control and Optimization. 49: 1829-1856. DOI: 10.1137/090776822  0.587
2011 Ketchum JA, Adams FC, Bloch AM. Accretion of rocky planets by hot jupiters Astrophysical Journal Letters. 741. DOI: 10.1088/2041-8205/741/1/L2  0.751
2011 Ketchum JA, Adams FC, Bloch AM. Effects of turbulence, eccentricity damping, and migration rate on the capture of planets into mean motion resonance Astrophysical Journal. 726. DOI: 10.1088/0004-637X/726/1/53  0.754
2011 Fernandez OE, Bloch AM. The Weitzenböck connection and time reparameterization in nonholonomic mechanics Journal of Mathematical Physics. 52. DOI: 10.1063/1.3525798  0.602
2011 Ohsawa T, Fernandez OE, Bloch AM, Zenkov DV. Nonholonomic Hamilton-Jacobi theory via Chaplygin Hamiltonization Journal of Geometry and Physics. 61: 1263-1291. DOI: 10.1016/J.Geomphys.2011.02.015  0.71
2011 Maruskin JM, Bloch AM. The Boltzmann-Hamel equations for the optimal control of mechanical systems with nonholonomic constraints International Journal of Robust and Nonlinear Control. 21: 373-386. DOI: 10.1002/Rnc.1598  0.797
2010 Bloch AM, Rojo AG. Kinematics of the Rolling Sphere and Quantum Spin Communications in Information and Systems. 10: 221-238. DOI: 10.4310/Cis.2010.V10.N4.A4  0.311
2010 Ohsawa T, Bloch AM. Nonholonomic Hamilton-Jacobi equation and integrability The Journal of Geometric Mechanics. 1: 461-481. DOI: 10.3934/Jgm.2009.1.461  0.613
2010 Bloch AM, Leok M, Marsden JE, Zenkov DV. Controlled lagrangians and stabilization of discrete mechanical systems Discrete and Continuous Dynamical Systems - Series S. 3: 19-36. DOI: 10.3934/Dcdss.2010.3.19  0.403
2010 Rojo AG, Bloch AM. The rolling sphere, the quantum spin a simple view of the Landau-Zener problem American Journal of Physics. 78: 1014-1022. DOI: 10.1119/1.3456565  0.309
2010 Bloch AM, Brockett RW, Rangan C. Finite controllability of infinite-dimensional quantum systems Ieee Transactions On Automatic Control. 55: 1797-1805. DOI: 10.1109/Tac.2010.2044273  0.381
2010 Adams FC, Bloch AM. Hill's equation with random forcing parameters: Determination of growth rates through random matrices Journal of Statistical Physics. 139: 139-158. DOI: 10.1007/S10955-010-9931-X  0.565
2010 Bloch AM. Nonholonomic mechanics, dissipation and quantization Lecture Notes in Control and Information Sciences. 407: 141-152. DOI: 10.1007/978-3-642-16135-3_12  0.433
2009 Rojo AG, Bloch AM. Nonholonomic double-bracket equations and the Gauss thermostat. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 80: 025601. PMID 19792191 DOI: 10.1103/Physreve.80.025601  0.421
2009 Bloch A, Moseley C, Sanyal AK. Analytical and Numerical Solution of a Sub-Riemannian Optimal Control Problem with Applications to Quantum Spin Systems Communications in Information and Systems. 9: 59-76. DOI: 10.4310/Cis.2009.V9.N1.A3  0.592
2009 Maruskin JM, Scheeres DJ, Bloch AM. Dynamics of symplectic subvolumes Siam Journal On Applied Dynamical Systems. 8: 180-201. DOI: 10.1137/070697938  0.766
2009 Fernandez OE, Mestdag T, Bloch AM. A generalization of Chaplygin's Reducibility Theorem Regular and Chaotic Dynamics. 14: 635-655. DOI: 10.1134/S1560354709060033  0.639
2009 Adams FC, Bloch AM. General analysis of type i planetary migration with stochastic perturbations Astrophysical Journal. 701: 1381-1397. DOI: 10.1088/0004-637X/701/2/1381  0.577
2009 Lecoanet D, Adams FC, Bloch AM. Mean motion resonances in extrasolar planetary systems with turbulence, interactions, and damping Astrophysical Journal. 692: 659-676. DOI: 10.1088/0004-637X/692/1/659  0.636
2009 Bloch AM, Marsden JE, Zenkov DV. Quasivelocities and symmetries in non-holonomic systems Dynamical Systems. 24: 187-222. DOI: 10.1080/14689360802609344  0.406
2009 Adams FC, Bloch AM. Hill's equation with random forcing parameters: The limit of delta function barriers Journal of Mathematical Physics. 50. DOI: 10.1063/1.3158858  0.598
2009 Bloch AM, Fernandez OE, Mestdag T. Hamiltonization of nonholonomic systems and the inverse problem of the calculus of variations Reports On Mathematical Physics. 63: 225-249. DOI: 10.1016/S0034-4877(09)90001-5  0.652
2009 Bloch AM, Hussein II, Leok M, Sanyal AK. Geometric structure-preserving optimal control of a rigid body Journal of Dynamical and Control Systems. 15: 307-330. DOI: 10.1007/S10883-009-9071-2  0.765
2008 Bloch AM, Rojo AG. Quantization of a nonholonomic system. Physical Review Letters. 101: 030402. PMID 18764239 DOI: 10.1103/Physrevlett.101.030402  0.384
2008 Adams FC, Bloch AM. Hill's equation with random forcing terms Siam Journal On Applied Mathematics. 68: 947-980. DOI: 10.1137/070689322  0.577
2008 Hussein II, Bloch AM. Optimal control of underactuated nonholonomic mechanical systems Ieee Transactions On Automatic Control. 53: 668-682. DOI: 10.1109/Tac.2008.919853  0.697
2008 Park C, Scheeres DJ, Guibout V, Bloch A. Global Solution for the Optimal Feedback Control of the Underactuated Heisenberg System Ieee Transactions On Automatic Control. 53: 2638-2642. DOI: 10.1109/Tac.2008.2007885  0.779
2008 Fernandez OE, Bloch AM, Mestdag T. The Pontryagin Maximum Principle applied to nonholonomic mechanics Proceedings of the Ieee Conference On Decision and Control. 4306-4311. DOI: 10.1109/CDC.2008.4738846  0.612
2008 Fernandez OE, Bloch AM. Equivalence of the dynamics of nonholonomic and variational nonholonomic systems for certain initial data Journal of Physics a: Mathematical and Theoretical. 41. DOI: 10.1088/1751-8113/41/34/344005  0.658
2008 Adams FC, Laughlin G, Bloch AM. Turbulence implies that mean motion resonances are rare Astrophysical Journal. 683: 1117-1128. DOI: 10.1086/589986  0.606
2008 Maruskin JM, Scheeres DJ, Adams FC, Bloch AM. The eccentric frame decomposition of central force fields Celestial Mechanics and Dynamical Astronomy. 100: 43-62. DOI: 10.1007/S10569-007-9105-6  0.796
2008 Bloch AM, Crouch PE, Marsden JE, Sanyal AK. Optimal control and geodesics on quadratic matrix Lie groups Foundations of Computational Mathematics. 8: 469-500. DOI: 10.1007/S10208-008-9025-1  0.593
2008 Shen J, Schneider DA, Bloch AM. Controllability and motion planning of a multibody Chaplygin's sphere and Chaplygin's top International Journal of Robust and Nonlinear Control. 18: 905-945. DOI: 10.1002/Rnc.1259  0.405
2008 Hussein II, Bloch AM. Stability and control of relative equilibria of three-spacecraft magnetically tethered systems Aiaa/Aas Astrodynamics Specialist Conference and Exhibit 0.647
2008 Maruskin JM, Scheeres DJ, Bloch AM. Subvolumes in dynamical systems and the tracking of space debris Advances in the Astronautical Sciences. 129: 2223-2243.  0.751
2008 Hussein II, Bloch AM. Stability and control of a two-craft magnetic constellation Advances in the Astronautical Sciences. 130: 1353-1372.  0.652
2007 Bloch A, Gurfil P, Lum K-. The Serret-Andoyer formalism in rigid-body dynamics: II. Geometry, stabilization, and control Regular and Chaotic Dynamics. 12: 426-447. DOI: 10.1134/S1560354707040041  0.383
2007 Hussein II, Scheeres DJ, Bloch AM, Hyland DC, McClamroch NH. Optimal motion planning for dual-spacecraft interferometry Ieee Transactions On Aerospace and Electronic Systems. 43: 723-737. DOI: 10.1109/Taes.2007.4285364  0.64
2007 Maruskin JM, Bloch AM. The Boltzmann-Hamel equations for optimal control Proceedings of the Ieee Conference On Decision and Control. 554-559. DOI: 10.1109/CDC.2007.4434390  0.787
2007 Hussein II, Zeitz FH, Bloch AM. Optimal control and the aircraft radar evasion problem Proceedings of the American Control Conference. 1067-1072. DOI: 10.1109/ACC.2007.4282835  0.648
2007 Adams FC, Bloch AM, Butler SC, Druce JM, Ketchum JA. Orbital instabilites in a triaxial cusp potential Astrophysical Journal. 670: 1027-1047. DOI: 10.1086/522581  0.763
2007 Bloch AM, Gekhtman MI. Lie algebraic aspects of the finite nonperiodic Toda flows Journal of Computational and Applied Mathematics. 202: 3-25. DOI: 10.1016/J.Cam.2005.09.034  0.323
2007 Hussein II, Bloch AM. Dynamic coverage optimal control for multiple spacecraft interferometric imaging Journal of Dynamical and Control Systems. 13: 69-93. DOI: 10.1007/S10883-006-9004-2  0.667
2007 Bloch AM, Leok M, Marsden JE, Zenkov DV. Matching and stabilization of discrete mechanical systems Pamm. 7: 1030603-1030604. DOI: 10.1002/Pamm.200700390  0.389
2006 Bloch AM, Crouch PE, Sanyal AK. A variational problem on Stiefel manifolds Nonlinearity. 19: 2247-2276. DOI: 10.1088/0951-7715/19/10/002  0.569
2006 Adams FC, Bloch AM. Baryonic collapse within dark matter halos and the formation of gaseous galactic disks Astrophysical Journal. 653: 905-921. DOI: 10.1086/508984  0.543
2006 Bloch AM, Iserles A. On an isospectral lie-poisson system and its lie algebra Foundations of Computational Mathematics. 6: 121-144. DOI: 10.1007/S10208-005-0173-2  0.336
2006 Bloch AM, Leok M, Marsden JE, Zenkov DV. Controlled Lagrangians and potential shaping for stabilization of discrete mechanical systems Proceedings of the Ieee Conference On Decision and Control. 3333-3338.  0.309
2006 Hussein II, Leok M, Sanyal AK, Bloch AM. A discrete variational integrator for optimal control problems on SO(3) Proceedings of the Ieee Conference On Decision and Control. 6636-6641.  0.688
2005 Sanyal AK, Shen J, McClamroch NH, Bloch AM. Stability and stabilization of relative equilibria of dumbbell bodies in central gravity Journal of Guidance, Control, and Dynamics. 28: 833-842. DOI: 10.2514/1.10546  0.624
2005 Bloch AM, Iserles A. Commutators of skew-symmetric matrices International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 15: 793-801. DOI: 10.1142/S0218127405012417  0.3
2005 Hussein II, Bloch AM. Constrained optimal trajectory tracking on the group of rigid body motions Proceedings of the 44th Ieee Conference On Decision and Control, and the European Control Conference, Cdc-Ecc '05. 2005: 2152-2157. DOI: 10.1109/CDC.2005.1582480  0.657
2005 Adams FC, Bloch AM. Orbits in extended mass distributions: General results and the spirographic approximation Astrophysical Journal. 629: 204-218. DOI: 10.1086/431455  0.595
2005 Rangan C, Bloch AM. Control of finite-dimensional quantum systems: Application to a spin-1/2 particle coupled with a finite quantum harmonic oscillator Journal of Mathematical Physics. 46. DOI: 10.1063/1.1852701  0.318
2005 Hussein II, Bloch AM. Optimal control of under-actuated systems with application to Lie groups Proceedings of the American Control Conference. 2: 1472-1477.  0.655
2005 Hussein II, Bloch AM, Scheeres DJ, McClamroch NH. Optimal fuel-image motion planning for a class of dual spacecraft formations Proceedings of the American Control Conference. 4: 2405-2410.  0.615
2005 Hussein II, Bloch AM. Dynamic coverage optimal control for interferometric imaging spacecraft formations (Part II): The nonlinear case Proceedings of the American Control Conference. 4: 2391-2396.  0.639
2004 Woolsey C, Reddy CK, Bloch AM, Chang DE, Leonard NE, Marsden JE. Controlled Lagrangian systems with gyroscopic forcing and dissipation European Journal of Control. 10: 478-496. DOI: 10.3166/Ejc.10.478-496  0.361
2004 Bloch AM, Iserles A. On the optimality of double-bracket flows International Journal of Mathematics and Mathematical Sciences. 2004: 3301-3319. DOI: 10.1155/S0161171204406462  0.323
2004 Hagerty P, Bloch AM, Weinstein MI. Radiation induced instability Siam Journal On Applied Mathematics. 64: 484-524. DOI: 10.1137/S0036139902418717  0.766
2004 Shen J, McClamroch NH, Bloch AM. Local equilibrium controllability of multibody systems controlled via shape change Ieee Transactions On Automatic Control. 49: 506-520. DOI: 10.1109/Tac.2004.825651  0.389
2004 Sanyal AK, Bloch A, Mcclamroch NH. Dynamics of multibody systems in planar motion in a central gravitational field Dynamical Systems. 19: 303-343. DOI: 10.1080/14689360412331309160  0.643
2004 Bloch AM, Hagerty P, Rojo AG, Weinstein MI. Gyroscopically stabilized oscillators and heat baths Journal of Statistical Physics. 115: 1073-1100. DOI: 10.1023/B:Joss.0000022367.36305.D3  0.765
2004 Koelling ME, Bloch AM, Gekhtman M. Qualitative behavior of non-Abelian Toda-like flows Physica D: Nonlinear Phenomena. 199: 317-338. DOI: 10.1016/J.Physd.2004.04.012  0.764
2004 Hussein II, Bloch AM. Optimal control on riemannian manifolds with potential fields Proceedings of the Ieee Conference On Decision and Control. 2: 1812-1817.  0.659
2004 Hussein II, Bloch AM. Dynamic interpolation on Riemannian manifolds: An application to interferometric imaging Proceedings of the American Control Conference. 1: 685-690.  0.652
2003 Zenkov DV, Bloch AM. Invariant measures of nonholonomic flows with internal degrees of freedom Nonlinearity. 16: 1793-1807. DOI: 10.1088/0951-7715/16/5/313  0.304
2002 Bloch AM, Crouch PE, Marsden JE, Ratiu TS. The symmetric representation of the rigid body equations and their discretization Nonlinearity. 15: 1309-1341. DOI: 10.1088/0951-7715/15/4/316  0.415
2002 Chang DE, Bloch AM, Leonard NE, Marsden JE, Woolsey CA. The equivalence of controlled Lagrangian and controlled Hamiltonian systems Esaim - Control, Optimisation and Calculus of Variations. 8: 393-422. DOI: 10.1051/Cocv:2002045  0.363
2002 Zenkov DV, Bloch AM, Marsden JE. The Lyapunov-Malkin theorem and stabilization of the unicycle with rider Systems and Control Letters. 45: 293-302. DOI: 10.1016/S0167-6911(01)00187-6  0.35
2001 Bloch AM, Chang DE, Leonard NE, Marsden JE. Controlled Lagrangians and the stabilization of mechanical systems II: Potential shaping Ieee Transactions On Automatic Control. 46: 1556-1571. DOI: 10.1109/9.956051  0.379
2001 Bloch AM, Leonard NE, Marsden JE. Controlled Lagrangians and the stabilization of Euler-Poincaré mechanical systems International Journal of Robust and Nonlinear Control. 11: 191-214. DOI: 10.1002/Rnc.572  0.404
2000 Bloch A, Crouch P. Mini special issue on mechanics and nonlinear control systems-introduction Ieee Transactions On Automatic Control. 45: 1418-1419. DOI: 10.1109/Tac.2000.871751  0.328
2000 Bloch AM, Leonard NE, Marsden JE. Controlled Lagrangians and the stabilization of mechanical systems I: The first matching theorem Ieee Transactions On Automatic Control. 45: 2253-2270. DOI: 10.1109/9.895562  0.415
2000 Zenkov DV, Bloch AM, Leonard NE, Marsden JE. Matching and Stabilization of the Unicycle with Rider Ifac Proceedings Volumes. 33: 177-178. DOI: 10.1016/S1474-6670(17)35573-8  0.324
2000 Bloch AM, Crouch PE, Marsden JE, Ratiu TS. An Almost Poisson Structure for the Generalized Rigid Body Equations Ifac Proceedings Volumes. 33: 87-92. DOI: 10.1016/S1474-6670(17)35552-0  0.324
2000 Bloch AM, Chang DE, Leonard NE, Marsden JE, Woolsey C. Asymptotic Stabilization of Euler-Poincaré Mechanical Systems Ifac Proceedings Volumes. 33: 51-56. DOI: 10.1016/S1474-6670(17)35546-5  0.4
2000 Bloch AM. Asymptotic Hamiltonian dynamics: The Toda lattice, the three-wave interaction and the non-holonomic Chaplygin sleigh Physica D: Nonlinear Phenomena. 141: 297-315. DOI: 10.1016/S0167-2789(00)00046-4  0.4
1999 Lum KY, Bloch AM. Generalized Serret-Andoyer Transformation and Applications for the Controlled Rigid Body Dynamics and Control. 9: 39-66. DOI: 10.1023/A:1008342708491  0.401
1998 Bloch AM, Crouch PE. Newton's law and integrability of nonholonomic systems Siam Journal On Control and Optimization. 36: 2020-2039. DOI: 10.1137/S0363012995291634  0.445
1998 Zenkov DV, Bloch AM, Marsden JE. The energy-momentum method for the stability of non-holonomic systems Dynamics and Stability of Systems. 13: 123-165. DOI: 10.1080/02681119808806257  0.368
1997 Bloch AM, Brockett RW, Crouch PE. Double bracket equations and geodesic flows on symmetric spaces Communications in Mathematical Physics. 187: 357-373. DOI: 10.1007/S002200050140  0.357
1996 Markworth AJ, Bloch AM. Use of linear feedback to control relaxation oscillations in a metal-passivation model Modelling and Simulation in Materials Science and Engineering. 4: 641-653. DOI: 10.1088/0965-0393/4/6/007  0.351
1996 Bloch A, Drakunov S. Stabilization and tracking in the nonholonomic integrator via sliding modes Systems and Control Letters. 29: 91-99. DOI: 10.1016/S0167-6911(96)00049-7  0.329
1996 Bloch AM, Crouch PE. Optimal control and geodesic flows Systems and Control Letters. 28: 65-72. DOI: 10.1016/0167-6911(96)00008-4  0.405
1996 Bloch AM, Krishnaprasad PS, Marsden JE, Murray RM. Nonholonomic mechanical systems with symmetry Archive For Rational Mechanics and Analysis. 136: 21-99. DOI: 10.1007/Bf02199365  0.456
1996 Bloch A, Krishnaprasad PS, Marsden JE, Ratiu TS. The Euler-Poincaré equations and double bracket dissipation Communications in Mathematical Physics. 175: 1-42. DOI: 10.1007/Bf02101622  0.407
1995 Bloch AM, Crouch PE. Nonholonomic Control Systems on Riemannian Manifolds Siam Journal On Control and Optimization. 33: 126-148. DOI: 10.1137/S036301299223533X  0.435
1995 Reyhanoglu M, Bloch AM, Harris Mcclamroch N. Control of nonholonomic systems with extended base space dynamics International Journal of Robust and Nonlinear Control. 5: 325-330. DOI: 10.1002/Rnc.4590050408  0.384
1994 Bloch A, Krishnaprasad P, Marsden J, Ratiu T. Dissipation Induced Instabilities Annales De L'Institut Henri Poincare (C) Non Linear Analysis. 11: 37-90. DOI: 10.1016/S0294-1449(16)30196-2  0.371
1994 Bloch AM, Crouch PE. Reduction of Euler-Lagrange problems for constrained variational problems and relation with optimal control problems Proceedings of the Ieee Conference On Decision and Control. 3: 2584-2590.  0.302
1993 Bloch AM, Crouch PE. On the dynamics and control of nonholonomic systems on Riemannian manifolds Ifac Symposia Series. 115-119. DOI: 10.1016/S1474-6670(17)52267-3  0.429
1993 Bloch AM, Flaschka H, Ratiu T. A Schur-Horn-Kostant convexity theorem for the diffeomorphism group of the annulus Inventiones Mathematicae. 113: 511-529. DOI: 10.1007/Bf01244316  0.301
1992 Bloch AM, Kodama Y. Dispersive regularization of the whitham equation for the Toda lattice Siam Journal On Applied Mathematics. 52: 909-928. DOI: 10.1137/0152052  0.351
1992 Bloch AM, Reyhanoglu M, McClamroch NH. Control and Stabilization of Nonholonomic Dynamic Systems Ieee Transactions On Automatic Control. 37: 1746-1757. DOI: 10.1109/9.173144  0.459
1992 Bloch AM. Stabilizability of nonholonomic control systems Automatica. 28: 431-435. DOI: 10.1016/S1474-6670(17)53629-0  0.387
1992 Bloch AM, Krishnaprasad PS, Marsden JE, de Alvarez GS. Stabilization of rigid body dynamics by internal and external torques Automatica. 28: 745-756. DOI: 10.1016/0005-1098(92)90034-D  0.401
1992 Bloch AM, Brockett RW, Ratiu TS. Completely integrable gradient flows Communications in Mathematical Physics. 147: 57-74. DOI: 10.1007/Bf02099528  0.373
1990 Bloch AM, Brockett RW, Ratiu TS. A new formulation of the generalized toda lattice equations and their fixed point analysis via the momentum map Bulletin of the American Mathematical Society. 23: 477-485. DOI: 10.1090/S0273-0979-1990-15960-9  0.33
1990 Bloch AM, Marsden JE. Stabilization of rigid body dynamics by the Energy-Casimir method Systems and Control Letters. 14: 341-346. DOI: 10.1016/0167-6911(90)90055-Y  0.366
1989 Bloch AM, Marsden JE. Controlling homoclinic orbits Theoretical and Computational Fluid Dynamics. 1: 179-190. DOI: 10.1007/Bf00417919  0.333
1989 Bloch AM. Stability analysis of a rotating flexible system Acta Applicandae Mathematicae. 15: 211-234. DOI: 10.1007/Bf00047531  0.394
1986 Bloch AM. An infinite-dimensional classical integrable system and the Heisenberg and Schrödinger representations Physics Letters A. 116: 353-355. DOI: 10.1016/0375-9601(86)90054-X  0.412
Show low-probability matches.