SOLUTION OF LYAPUNOV EQUATION WITH SYSTEM MATRIX IN COMPANION FORM

被引：19

作者：

SREERAM, V ^{[1
]}

AGATHOKLIS, P ^{[1
]}

机构：

[1] UNIV VICTORIA,DEPT ELECT & COMP ENGN,VICTORIA V8W 3P6,BC,CANADA

来源：

IEE PROCEEDINGS-D CONTROL THEORY AND APPLICATIONS | 1991年 / 138卷 / 06期

关键词：

MATHEMATICAL TECHNIQUES; MATRIX ALGEBRA;

D O I：

10.1049/ip-d.1991.0074

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

A simple method for solving the matrix Lyapunov equation for linear continuous systems with the system matrix in companion form is proposed. If the system is asymptotically stable, the solution of the Lyapunov equation can be obtained directly from the entries of a Routh table. The proposed method does not involve solution of a linear system of equations or matrix inversion and hence is computationally efficient compared to other techniques. It is illustrated by a numerical example.

引用

页码：529 / 534

页数：6

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