Discontinuous dynamical systems in optimal control theory

被引：0
|
作者：
Pukhlikov A.V.
机构：
来源：
Computational Mathematics and Modeling | 2002年 / 13卷 / 1期
关键词：
Optimal Control Problem; General Position; Return Mapping; Symplectic Manifold; Symplectic Structure;
D O I：
10.1023/A:1013837920728
中图分类号：
学科分类号：
摘要：
We develop foundations of the theory of discontinuous Hamiltonian systems appearing in the problems of optimal control. We consider analogs of the classical Poisson and Liouville theorems for discontinuous Hamiltonian systems. We study the local geometry of discontinuous dynamical systems and describe singularities in general position and the behavior of integral trajectories near an elliptical submanifold (sliding mode). © 2002 Plenum Publishing Corporation.
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页码：81 / 105
页数：24
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