Novel stability and instability condition for interconnected systems with structural perturbations

Authors
Martynyuk, AA Stavroulakis, IP
Citation
Aa. Martynyuk et Ip. Stavroulakis, Novel stability and instability condition for interconnected systems with structural perturbations, DYN C D I S, 7(3), 2000, pp. 307-324
Citations number
25
Categorie Soggetti
Engineering Mathematics
Journal title
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS
ISSN journal
12013390 → ACNP
Volume
7
Issue
3
Year of publication
2000
Pages
307 - 324
Database
ISI
SICI code
1201-3390(200009)7:3<307:NSAICF>2.0.ZU;2-#
Abstract
The purpose of this paper is to obtain sufficient conditions for asymptotic stable (in the whole), uniformly asymptotic stable (in the whole) and expo nentially stable (in the whole) of solutions of nonlinear large-scale syste ms with structural perturbation by applying matrix Lyapunov's function meth od and using information about stability of disconnected subsystems and fro m qualitative properties of their interactions.