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Dynamics and control of multibody systems : [electronic resource] proceedings of the AMS-IMS-SIAM Joint Summer Research Conference held July 30-August 5, 1988, with support from the National Science Foundation / J.E. Marsden, P.S. Krishnaprasad, and J.C. Simo, editors.

By: AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on Control Theory and Multibody Systems (1988 : Bowdoin College)Contributor(s): Marsden, Jerrold E | Krishnaprasad, P. S. (Perinkulam Sambamurthy), 1949- | Simo, J. C. (Juan C.), 1952-Material type: Text

TextSeries: Contemporary Mathematics (American Mathematical Society) ; v.97.Publication details: Providence, R.I. : American Mathematical Society, c1989Description: 1 online resource (xvii, 468 p. : ill.)ISBN: 9780821876855 (online)Subject(s): Control theory -- Congresses | Multibody systems -- Congresses | Dynamics -- CongressesAdditional physical formats: Dynamics and control of multibody systems :DDC classification: 629.8/312 LOC classification: QA402.3 | .A4546 1988Online resources: Contents | Contents

Contents:

An enumerative theory of equilibrium rotations for planar kinematic chains / J. Baillieul -- http://www.ams.org/conm/097/ http://dx.doi.org/10.1090/conm/097/1021027 Stability and stiffening of driven and free planar rotating beams / Anthony M. Bloch and Robert R. Ryan -- http://www.ams.org/conm/097/ http://dx.doi.org/10.1090/conm/097/1021028 Characterization of Hamiltonian input-output systems / P. E. Crouch and A. J. van der Schaft -- http://www.ams.org/conm/097/ http://dx.doi.org/10.1090/conm/097/1021029 Robustness of distributed parameter systems / Ruth F. Curtain -- http://www.ams.org/conm/097/ http://dx.doi.org/10.1090/conm/097/1021030 On the relationship between discrete-time optimal control and recursive dynamics for elastic multibody chains / C. J. Damaren and G. M. T. D'Eleuterio -- http://www.ams.org/conm/097/ http://dx.doi.org/10.1090/conm/097/1021031 Some solvable stochastic control problems in compact symmetric spaces of rank one / T. E. Duncan -- http://www.ams.org/conm/097/ http://dx.doi.org/10.1090/conm/097/1021032 Slew-induced deformation shaping on slow integral manifolds / T. A. W. Dwyer, III -- http://www.ams.org/conm/097/ http://dx.doi.org/10.1090/conm/097/1021033 Feedback equivalence and symmetries of Brunowski normal forms / R. B. Gardner, W. F. Shadwick and G. R. Wilkens -- http://www.ams.org/conm/097/ http://dx.doi.org/10.1090/conm/097/1021034 The application of total energy as a Lyapunov function for mechanical control systems / Daniel E. Koditschek -- http://www.ams.org/conm/097/ http://dx.doi.org/10.1090/conm/097/1021035 Classical adiabatic angles for slowly moving mechanical systems / Jair Koiller -- http://www.ams.org/conm/097/ http://dx.doi.org/10.1090/conm/097/1021036 Eulerian many-body problems / P. S. Krishnaprasad -- http://www.ams.org/conm/097/ http://dx.doi.org/10.1090/conm/097/1021037 Morse theory for a model space structure / Mark Levi -- http://www.ams.org/conm/097/ http://dx.doi.org/10.1090/conm/097/1021038 A unified approach for the control of multifingered robot hands / Ze Xiang Li and Shankar Sastry -- http://www.ams.org/conm/097/ http://dx.doi.org/10.1090/conm/097/1021039 Tethered satellite system stability / D.-C. Liaw and E. H. Abed -- http://www.ams.org/conm/097/ http://dx.doi.org/10.1090/conm/097/1021040 Quantum control theory. I / E. B. Lin -- http://www.ams.org/conm/097/ http://dx.doi.org/10.1090/conm/097/1021041 Cartan-Hannay-Berry phases and symmetry / J. Marsden, R. Montgomery and T. Ratiu -- http://www.ams.org/conm/097/ http://dx.doi.org/10.1090/conm/097/1021042 Block diagonalization and the energy-momentum method / J. E. Marsden, J. C. Simo, D. Lewis and T. A. Posbergh -- http://www.ams.org/conm/097/ http://dx.doi.org/10.1090/conm/097/1021043 The dynamics of two coupled rigid bodies in three-space / George W. Patrick -- http://www.ams.org/conm/097/ http://dx.doi.org/10.1090/conm/097/1021044 Nonsmooth optimization algorithms for the design of controlled flexible structures / E. Polak -- http://www.ams.org/conm/097/ http://dx.doi.org/10.1090/conm/097/1021045 Stability analysis of a rigid body with attached geometrically nonlinear rod by the energy-momentum method / T. A. Posbergh, J. C. Simo and J. E. Marsden -- http://www.ams.org/conm/097/ http://dx.doi.org/10.1090/conm/097/1021046 Controllability of Poisson control systems with symmetries / Gloria S�anchez de Alvarez -- http://www.ams.org/conm/097/ http://dx.doi.org/10.1090/conm/097/1021047 Chaos in a rapidly forced pendulum equation / J�urgen Scheurle -- http://www.ams.org/conm/097/ http://dx.doi.org/10.1090/conm/097/1021048 Accurate time critical control of many-body systems / N. Sreenath -- http://www.ams.org/conm/097/ http://dx.doi.org/10.1090/conm/097/1021049 Hamiltonian control systems: decomposition and clamped dynamics / A. J. van der Schaft -- http://www.ams.org/conm/097/ http://dx.doi.org/10.1090/conm/097/1021050 Graph-theoretical methods in multibody dynamics / Jens Wittenburg -- http://www.ams.org/conm/097/ http://dx.doi.org/10.1090/conm/097/1021051

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"The AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on Control Theory and Multibody Systems was held at Bowdoin College, Brunswick, Maine from July 30 to August 5, 1988 ...": T.p. verso.

Includes bibliographical references.

An enumerative theory of equilibrium rotations for planar kinematic chains / J. Baillieul -- Stability and stiffening of driven and free planar rotating beams / Anthony M. Bloch and Robert R. Ryan -- Characterization of Hamiltonian input-output systems / P. E. Crouch and A. J. van der Schaft -- Robustness of distributed parameter systems / Ruth F. Curtain -- On the relationship between discrete-time optimal control and recursive dynamics for elastic multibody chains / C. J. Damaren and G. M. T. D'Eleuterio -- Some solvable stochastic control problems in compact symmetric spaces of rank one / T. E. Duncan -- Slew-induced deformation shaping on slow integral manifolds / T. A. W. Dwyer, III -- Feedback equivalence and symmetries of Brunowski normal forms / R. B. Gardner, W. F. Shadwick and G. R. Wilkens -- The application of total energy as a Lyapunov function for mechanical control systems / Daniel E. Koditschek -- Classical adiabatic angles for slowly moving mechanical systems / Jair Koiller -- Eulerian many-body problems / P. S. Krishnaprasad -- Morse theory for a model space structure / Mark Levi -- A unified approach for the control of multifingered robot hands / Ze Xiang Li and Shankar Sastry -- Tethered satellite system stability / D.-C. Liaw and E. H. Abed -- Quantum control theory. I / E. B. Lin -- Cartan-Hannay-Berry phases and symmetry / J. Marsden, R. Montgomery and T. Ratiu -- Block diagonalization and the energy-momentum method / J. E. Marsden, J. C. Simo, D. Lewis and T. A. Posbergh -- The dynamics of two coupled rigid bodies in three-space / George W. Patrick -- Nonsmooth optimization algorithms for the design of controlled flexible structures / E. Polak -- Stability analysis of a rigid body with attached geometrically nonlinear rod by the energy-momentum method / T. A. Posbergh, J. C. Simo and J. E. Marsden -- Controllability of Poisson control systems with symmetries / Gloria S�anchez de Alvarez -- Chaos in a rapidly forced pendulum equation / J�urgen Scheurle -- Accurate time critical control of many-body systems / N. Sreenath -- Hamiltonian control systems: decomposition and clamped dynamics / A. J. van der Schaft -- Graph-theoretical methods in multibody dynamics / Jens Wittenburg --