EQUIVALENCE OF STABILITY CONCEPTS FOR DISCRETE TIME-VARYING SYSTEMS

被引：40

作者：

BHAYA, A ^{[1
]}

DASCHAGASMOTA, F ^{[1
]}

机构：

[1] FED UNIV RIO DE JANEIRO,COPPE,CTR PARALLEL COMP,BR-21945970 RIO JANEIRO,BRAZIL

来源：

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 1994年 / 4卷 / 06期

关键词：

DISCRETE TIME-VARYING SYSTEMS; DIFFERENCE INCLUSIONS; SIMULTANEOUS LYAPUNOV FUNCTIONS; INTERVAL MATRICES; STABILITY TESTS;

D O I：

10.1002/rnc.4590040603

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Stability concepts arising in the literature on absolute stability, difference inclusions and interval matrices are all shown to be equivalent to simultaneous asymptotic stability of a class of linear time-varying discrete systems and, in turn, to exponential stability. This enables the classification of an interval matrix stability test due to Bauer et al., a Lyapunov indicator test due to Barabanov and a constructive Lyapunov function test due to Brayton and Tong into a hierarchy of stability tests. Some applications of these tests are given and it is observed that they are not, in general, polynomial-time tests.

引用

页码：725 / 740

页数：16

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