An extension of the Cayley-Hamilton theorem for nonlinear time-varying systems

被引：0

作者：

Kaczorek, Tadeusz ^{[1
]}

机构：

[1] Faculty of Electrical Engineering, Bialystok Technical University, ul. Wiejska 45 D, 15-351 Bialystok, Poland

来源：

International Journal of Applied Mathematics and Computer Science | 2006年 / 16卷 / 01期

关键词：

Matrix algebra - Polynomials - Theorem proving - Time varying systems;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The classical Cayley-Hamilton theorem is extended nonlinear time-varying systems with square and rectangular system matrices. It is shown that in both cases system matrices satisfy many equations with coefficients being the coefficients of characteristic polynomials of suitable square matrices. The proposed theorems are illustrated with numerical examples.

引用

页码：141 / 145

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