New directions in the method of vector Lyapunov functions
type: Item
instance of: scholarly article
title: New directions in the method of vector Lyapunov functions
zbMATH Open document ID: 0814.93061
author: Z. Drici
published in: Journal of Mathematical Analysis and Applications
publication date: 1995-06-13T00:00:00Z
review text: This paper initiates some directions of the method of vector Lyapunov functions which will have application to large-scale dynamic systems with overlapping decompositions. It is shown that it is possible to further reduce the requirements on the Lyapunov functions by perturbing them in an appropriate expanded version of the original state space, thereby making it possible to establish stability properties under less stringent conditions. Nonuniform stability results in terms of vector Lyapunov functions, with one set of these functions defined relative to the original system and the other set with respect to the expanded version are established.
Mathematics Subject Classification ID: 93D30
Mathematics Subject Classification ID: 93C73
Mathematics Subject Classification ID: 93A15
zbMATH DE Number: 635926
zbMATH Keywords: permutation of Lyapunov functions
zbMATH Keywords: vector Lyapunov functions
zbMATH Keywords: large-scale dynamic system
reviewed by: Vasile Dragan
MaRDI profile type: Publication
full work available at URL: jmaa.1994.1202
OpenAlex ID: W2017829654
DOI: 10.1006/JMAA.1994.1202
description: scientific article; zbMATH DE number 635926