A small gain theorem for locally input to state stable interconnected systems

Authors
Tzamtzi, MP Tzafestas, SG
Citation
Mp. Tzamtzi et Sg. Tzafestas, A small gain theorem for locally input to state stable interconnected systems, J FRANKL I, 336(6), 1999, pp. 893-901
Citations number
11
Categorie Soggetti
Mechanical Engineering
Journal title
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
ISSN journal
00160032 → ACNP
Volume
336
Issue
6
Year of publication
1999
Pages
893 - 901
Database
ISI
SICI code
0016-0032(199908)336:6<893:ASGTFL>2.0.ZU;2-Q
Abstract
A small-gain theorem for nonlinear systems is established, which, when appl ied to interconnections of locally input-to-state stable systems, can ensur e the "local input-to-slate practical stability" of the interconnection. Th is concept of stability denotes that the state of the interconnection remai ns bounded for sufficiently small input and initial conditions, but it does not tend to zero for zero input. (C) 1999 The Franklin Institute. Publishe d by Elsevier Science Ltd. All rights reserved.