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Geometry of feedback and optimal control. (English) Zbl 0892.00025

Pure and Applied Mathematics, Marcel Dekker. 207. New York, NY: Marcel Dekker, Inc. vii, 564 p. (1998).

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The articles of this volume will be reviewed individually. The preface provides a nice overview of geometric nonlinear control theory as well as the contents of the 12 surveys forming this book.
Indexed articles:
Agrachev, A.; Gamkrelidze, R., Symplectic methods for optimization and control, 19-77 [Zbl 0965.93034]
Bonnard, B., Singular trajectories, feedback equivalence and the time optimal control problem, 79-110 [Zbl 0965.93060]
Davydov, Aleksey, Controllability of generic control systems on surfaces, 111-163 [Zbl 0965.93013]
Dayawansa, W. P., Recent advances in the stabilization problem for low dimensional systems, 165-203 [Zbl 0976.93509]
Hermes, Henry, Asymptotic stabilization via homogeneous approximation, 205-218 [Zbl 0914.93058]
Jakubczyk, Bronislaw, Critical Hamiltonians and feedback invariants, 219-256 [Zbl 0925.93136]
Jurdjevic, V., Optimal control problems on Lie groups: Crossroads between geometry and mechanics, 257-303 [Zbl 0925.93138]
Kawski, Matthias, Nonlinear control and combinatorics of words, 305-346 [Zbl 0925.93368]
Respondek, Witold, Feedback classification of nonlinear control systems on \(\mathbb{R}^2\) and \(\mathbb{R}^3\), 347-381 [Zbl 0925.93367]
Schättler, Heinz, Time-optimal feedback control for nonlinear systems: A geometric approach, 383-421 [Zbl 0925.93137]
Shoshitaishvili, A. N., Qualitative behavior control problem and stabilization of dynamical systems, 423-462 [Zbl 0925.93829]
Sussmann, Hector J., An introduction to the coordinate-free maximum principle, 463-557 [Zbl 0925.93135]

MSC:

00B15 Collections of articles of miscellaneous specific interest
93-06 Proceedings, conferences, collections, etc. pertaining to systems and control theory
49-06 Proceedings, conferences, collections, etc. pertaining to calculus of variations and optimal control