UNIFIED TYPE NONSTATIONARY LYAPUNOV MATRIX EQUATION - SIMULTANEOUS EIGENVALUE BOUNDS

被引：4

作者：

MRABTI, M

BENSEDDIK, M

机构：

[1] L.O.T.I. Département de physique, Faculté des Sciences Dhar-Mehraz, B.P. 1796, Fes, Atlas

来源：

SYSTEMS & CONTROL LETTERS | 1995年 / 24卷 / 01期

关键词：

UNIFIED NONSTATIONARY LYAPUNOV MATRIX EQUATION; DELTA OPERATOR; GENERALIZED EXPONENTIAL AND INTEGRAL;

D O I：

10.1016/0167-6911(94)00019-R

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Simultaneous eigenvalue bounds for the solution of the unified non-stationary Lyapunov matrix equation are presented. When the solution becomes stationary, the results reduce to bounds of the unified type algebraic Lyapunov equation. In the limiting cases, the results reduce to bounds for the solution of the differential and difference Lyapunov equations. The bounds given in this paper are a generalization of some existing bounds obtained separately for the continuous and discrete type stationary and non-stationary Lyapunov equations.

引用

页码：53 / 59

页数：7

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