The linear quadratic optimal control problem for linear descriptor systems with variable coefficients

被引：44
作者：
Kunkel, P
Mehrmann, V
机构：
[1] Carl von Ossietzky Univ Oldenburg, Fachbereich Math, D-26111 Oldenburg, Germany
[2] Tech Univ Chemnitz, Fak Math, D-09107 Chemnitz, Germany
来源：
MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS | 1997年 / 10卷 / 03期
关键词：
descriptor systems; differential algebraic equations; optimal control; strangeness index; Riccati differential-algebraic equations; Euler-Lagrange equations; linear feedback;
D O I：
10.1007/BF01211506
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We study linear quadratic optimal control problems for linear variable coefficient descriptor systems. Generalization from the case of standard control problems leads to several difficulties. We discuss a behavioral approach that solves some of these difficulties. Furthermore, an analysis of general rectangular systems is given and generalized Euler-Lagrange equations and Riccati differential algebraic equations are discussed.
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页码：247 / 264
页数：18
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