BLOCK LYAPUNOV SUM WITH APPLICATIONS TO INTEGRAL CONTROLLABILITY AND MAXIMAL STABILITY OF SINGULARLY PERTURBED SYSTEMS

被引：15

作者：

MUSTAFA, D

机构：

[1] Department of Engineering Science, University of Oxford, Oxford, 0X13PJ, Parks Road

来源：

INTERNATIONAL JOURNAL OF CONTROL | 1995年 / 61卷 / 01期

关键词：

D O I：

10.1080/00207179508921892

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A new block-structured Lyapunov sum for partitioned matrices is defined and basic properties are established. It has similar properties to a Lyapunov matrix, but preserves the block structure, and has similar properties to the block Kronecker sum, but with about half the dimension. It is used to solve a maximal stability problem of integral controllability, and is also used to solve for the maximal stability range of singularly perturbed systems. In both cases closed formulae are obtained with lower dimensions than existing formulae.

引用

页码：47 / 63

页数：17

共 16 条

[1]

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