Stabilization of Discrete Systems by Dynamic Regulator

被引：0

作者：

Zuber, I. E. ^{[1
]}

机构：

[1] St Petersburg State Univ, Univ Skaya Nab 7-9, St Petersburg 199034, Russia

来源：

VESTNIK ST PETERSBURG UNIVERSITY-MATHEMATICS | 2012年 / 45卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

discrete systems; stabilization; dynamic regulator; Lyapunov function;

D O I：

10.3103/S1063454112010098

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the system x(k+1) = A(k)x(k) + b(k)u(k), u(k+1) = m(k)*x(k), k = 1,2, ..., where A(k) is an element of R-nxn, b(k) is an element of R-n, and m(k) is an element of R-n. We assume that A(k) is a Frobenius matrix, the last component of vector bk is zero, and all entries of A(k) and b(k) are bounded for all k. Lyapunov quadratic function with diagonal matrix of coefficients is used to find coefficients m(k) and restrictions on coefficients b(k) which make the system globally asymptotically stable.

引用

页码：22 / 25

页数：4