TIME-OPTIMAL CONTROL OF INFINITE ORDER HYPERBOLIC SYSTEMS WITH TIME DELAYS

被引：12
|
作者：
Kowalewski, Adam [1 ]
机构：
[1] AGH Univ Sci & Technol, PL-30059 Krakow, Poland
来源：
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE | 2009年 / 19卷 / 04期
关键词：
time-optimal control; infinite order; hyperbolic systems; time delays; DEVIATING ARGUMENTS; PARABOLIC-SYSTEMS; LAGS;
D O I：
10.2478/v10006-009-0047-x
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, the time-optimal control problem for infinite order hyperbolic systems in which time delays appear in the integral form both in state equations and in boundary conditions is considered. Optimal controls are characterized in terms of an adjoint system and shown to be unique and bang-bang. These results extend to certain cases of nonlinear control problems. The particular properties of optimal control are discussed.
引用
收藏
页码：597 / 608
页数：12
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