Hamilton-Jacobi inequalities and the optimality conditions in the problems of control with common end constraints

被引：0
作者：
V. A. Dykhta
S. P. Sorokin
机构：
[1] Russian Academy of Sciences,Institute of System Dynamics and Control Theory, Siberian Branch
来源：
Automation and Remote Control | 2011年 / 72卷
关键词：
Remote Control; Optimal Control Problem; Jacobi Equation; Canonical Theory; Joinable Point;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The canonical theory of the necessary and sufficient conditions for global optimality based on the sets of nonsmooth solutions of the differential Hamilton-Jacobi inequalities of two classes of weakly and strongly monotone Lyapunov type functions was developed. These functions enable one to estimate from above and below the objective functional of the optimal control problem and determine the internal and external approximations of the reachability set of the controlled dynamic system.
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页码：1808 / 1821
页数：13
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