Geometry of feedback and optimal control
著者
書誌事項
Geometry of feedback and optimal control
（Monographs and textbooks in pure and applied mathematics, 207）
Marcel Dekker, c1998
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
This work gathers important and promising information results in subfields of nonlinear control theory, previously available in journals. It presents the state of the art of geometric methods, their applications optimal control, and feedback transformations. It aims to show how geometric control theory draws from other mathematical fields to create its own powerful tools.
目次
- Symplectic methods for optimization and control
- singular trajectories, feedback equivalence and time optimal control problem
- controllability of generic systems on surfaces
- recent advances in the stabilization problem for low dimensional systems
- asymptotic stabilization via homogeneous approximation
- critical Hamiltonians and feedback invariants
- optimal control problems on lie groups - crossroads between geometry and mechanics
- nonlinear control and combinatorics of words
- feedback classification of nonlinear control systems on R2R3
- time-optinal feedback control for nonlinear systems - a geometric approach
- qualitative behaviour control problem and stabilization of dynamical systems
- an introduction to the co-ordinate-free maximum principle.
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