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Differential Geometry and Control
 
Edited by: G. Ferreyra :  Louisiana State University, Baton Rouge, LA
R. Gardner :  University of North Carolina, Chapel Hill, NC
H. Hermes :  University of Colorado, Boulder, CO
H. Sussmann :  Rutgers University, New Brunswick, NJ
Differential Geometry and Control
Hardcover ISBN:  978-0-8218-0887-0
Product Code:  PSPUM/64
List Price: $139.00
MAA Member Price: $125.10
AMS Member Price: $111.20
eBook ISBN:  978-0-8218-9368-5
Product Code:  PSPUM/64.E
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Hardcover ISBN:  978-0-8218-0887-0
eBook: ISBN:  978-0-8218-9368-5
Product Code:  PSPUM/64.B
List Price: $274.00 $206.50
MAA Member Price: $246.60 $185.85
AMS Member Price: $219.20 $165.20
Add to cart
Differential Geometry and Control
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Differential Geometry and Control
Edited by: G. Ferreyra :  Louisiana State University, Baton Rouge, LA
R. Gardner :  University of North Carolina, Chapel Hill, NC
H. Hermes :  University of Colorado, Boulder, CO
H. Sussmann :  Rutgers University, New Brunswick, NJ
Hardcover ISBN:  978-0-8218-0887-0
Product Code:  PSPUM/64
List Price: $139.00
MAA Member Price: $125.10
AMS Member Price: $111.20
eBook ISBN:  978-0-8218-9368-5
Product Code:  PSPUM/64.E
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Hardcover ISBN:  978-0-8218-0887-0
eBook ISBN:  978-0-8218-9368-5
Product Code:  PSPUM/64.B
List Price: $274.00 $206.50
MAA Member Price: $246.60 $185.85
AMS Member Price: $219.20 $165.20
Add to cart
  • Book Details
     
     
    Proceedings of Symposia in Pure Mathematics
    Volume: 64; 1999; 341 pp
    MSC: Primary 49; 53; 93; Secondary 22; 60; 35

    This volume presents selections from talks given at the AMS Summer Research Institute on Differential Geometry and Control held at the University of Colorado (Boulder). Included articles were refereed according to the highest standards. This collection provides a coherent global perspective on recent developments and important open problems in geometric control theory. Readers will find in this book an excellent source of current challenging research problems and results.
    Readership

    Graduate students, researchers, educators and applied mathematicians working in control theory; electrical, mechanical and aerospace engineers.
  • Table of Contents
     
     
    • Articles
    • George R. Wilkens — Remembering the mathematics of Robert Brown Gardner [ MR 1654541 ]
    • Andrei Agrachev, Gianna Stefani and Pierluigi Zezza — A Hamiltonian approach to strong minima in optimal control [ MR 1654537 ]
    • Helene Airault — The Heisenberg group $H_3$ in terms of the orthonormal frame bundle $\mathrm {O}(\mathbf {R}^2)$ and the control of variation of the Heisenberg diffusion [ MR 1654533 ]
    • Victor Ayala and Juan Tirao — Linear control systems on Lie groups and controllability [ MR 1654529 ]
    • Zbigniew Bartosiewicz — Real analytic geometry and local observability [ MR 1654525 ]
    • Ewa Pawłuszewicz and Zbigniew Bartosiewicz — External dynamic feedback equivalence of observable discrete-time control systems [ MR 1654521 ]
    • R. M. Bianchini — Good needle-like variations [ MR 1654517 ]
    • Anthony M. Bloch and Peter E. Crouch — Representations of Dirac structures on vector spaces and nonlinear L-C circuits [ MR 1654513 ]
    • Bernard Bonnard, Monique Chyba and Ivan Kupka — Nonintegrable geodesics in SR-Martinet geometry [ MR 1654588 ]
    • V. F. Borisov — Singular extremals of order $3$ and chattering [ MR 1654584 ]
    • Jean-Michel Coron — Some open problems in control theory [ MR 1654580 ]
    • A. V. Dmitruk — Quadratic order conditions of a local minimum for singular extremals in a general optimal control problem [ MR 1654576 ]
    • T. E. Duncan — Some solvable infinite time horizon stochastic control problems in hyperbolic three space [ MR 1654572 ]
    • Jimmie D. Lawson — Geometric control and Lie semigroup theory [ MR 1654568 ]
    • Urszula Ledzewicz and Heinz Schättler — Analysis of abnormal extremals in optimal control [ MR 1654564 ]
    • Alessia Marigo and Antonio Bicchi — Rolling bodies with regular surface: the holonomic case [ MR 1654560 ]
    • Viswanath Ramakrishna — On degenerate Monge-Ampère equations [ MR 1654556 ]
    • Franco Rampazzo — Lie brackets and impulsive controls: an unavoidable connection [ MR 1654552 ]
    • Yuri L. Sachkov — Survey on controllability of invariant systems on solvable Lie groups [ MR 1654548 ]
    • George R. Wilkens — Centro-affine geometry in the plane and feedback invariants of two-state scalar control systems [ MR 1654544 ]
    • Jie Yang — On hypersurfaces satisfying a basic equality [ MR 1654540 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Proceedings of Symposia in Pure Mathematics
Volume: 64; 1999; 341 pp
MSC: Primary 49; 53; 93; Secondary 22; 60; 35

This volume presents selections from talks given at the AMS Summer Research Institute on Differential Geometry and Control held at the University of Colorado (Boulder). Included articles were refereed according to the highest standards. This collection provides a coherent global perspective on recent developments and important open problems in geometric control theory. Readers will find in this book an excellent source of current challenging research problems and results.
Readership

Graduate students, researchers, educators and applied mathematicians working in control theory; electrical, mechanical and aerospace engineers.
  • Articles
  • George R. Wilkens — Remembering the mathematics of Robert Brown Gardner [ MR 1654541 ]
  • Andrei Agrachev, Gianna Stefani and Pierluigi Zezza — A Hamiltonian approach to strong minima in optimal control [ MR 1654537 ]
  • Helene Airault — The Heisenberg group $H_3$ in terms of the orthonormal frame bundle $\mathrm {O}(\mathbf {R}^2)$ and the control of variation of the Heisenberg diffusion [ MR 1654533 ]
  • Victor Ayala and Juan Tirao — Linear control systems on Lie groups and controllability [ MR 1654529 ]
  • Zbigniew Bartosiewicz — Real analytic geometry and local observability [ MR 1654525 ]
  • Ewa Pawłuszewicz and Zbigniew Bartosiewicz — External dynamic feedback equivalence of observable discrete-time control systems [ MR 1654521 ]
  • R. M. Bianchini — Good needle-like variations [ MR 1654517 ]
  • Anthony M. Bloch and Peter E. Crouch — Representations of Dirac structures on vector spaces and nonlinear L-C circuits [ MR 1654513 ]
  • Bernard Bonnard, Monique Chyba and Ivan Kupka — Nonintegrable geodesics in SR-Martinet geometry [ MR 1654588 ]
  • V. F. Borisov — Singular extremals of order $3$ and chattering [ MR 1654584 ]
  • Jean-Michel Coron — Some open problems in control theory [ MR 1654580 ]
  • A. V. Dmitruk — Quadratic order conditions of a local minimum for singular extremals in a general optimal control problem [ MR 1654576 ]
  • T. E. Duncan — Some solvable infinite time horizon stochastic control problems in hyperbolic three space [ MR 1654572 ]
  • Jimmie D. Lawson — Geometric control and Lie semigroup theory [ MR 1654568 ]
  • Urszula Ledzewicz and Heinz Schättler — Analysis of abnormal extremals in optimal control [ MR 1654564 ]
  • Alessia Marigo and Antonio Bicchi — Rolling bodies with regular surface: the holonomic case [ MR 1654560 ]
  • Viswanath Ramakrishna — On degenerate Monge-Ampère equations [ MR 1654556 ]
  • Franco Rampazzo — Lie brackets and impulsive controls: an unavoidable connection [ MR 1654552 ]
  • Yuri L. Sachkov — Survey on controllability of invariant systems on solvable Lie groups [ MR 1654548 ]
  • George R. Wilkens — Centro-affine geometry in the plane and feedback invariants of two-state scalar control systems [ MR 1654544 ]
  • Jie Yang — On hypersurfaces satisfying a basic equality [ MR 1654540 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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