The Krakovskii-LaSalle invariance principle for a class of unilateral dynamical systems
type: Item
instance of: scholarly article
title: The Krakovskii-LaSalle invariance principle for a class of unilateral dynamical systems
zbMATH Open document ID: 1085.49008
author: B. Brogliato
author: Daniel Goeleven
published in: MCSS. Mathematics of Control, Signals, and Systems
publication date: 2005-04-14T00:00:00Z
review text: The main result of the paper consists in an extension of the Krakovskii-LaSalle invariance lemma to a class of nonsmooth dynamical systems involving evolution variational inequalities. There are given basic consequences of this important result regarding the stability theory. Applications are presented for linear and nonlinear evolution variational inequalities. The results are illustrated in studying the absolute stability and electric circuit problems.
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 49K40
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 34A60
Mathematics Subject Classification ID: 70F25
Mathematics Subject Classification ID: 93D05
zbMATH DE Number: 2155983
zbMATH Keywords: Lyapunov stability
zbMATH Keywords: unilateral constraints
zbMATH Keywords: LaSalle invariance principle
zbMATH Keywords: variational inequality
reviewed by: Dumitru Motreanu
MaRDI profile type: Publication
full work available at URL: s00498-004-0145-0
OpenAlex ID: W2044958480
cites work: Q4393068
cites work: Special issue: Hybrid systems in control
cites work: Q4332942
cites work: Q5640301
cites work: Stability and Instability Matrices for Linear Evolution Variational Inequalities
cites work: Absolute stability and the Lagrange--Dirichlet theorem with monotone multivalued mappings
cites work: Some perspectives on the analysis and control of complementarity systems
cites work: On the control of complementary-slackness juggling mechanical systems
cites work: On the control of finite-dimensional mechanical systems with unilateral constraints
cites work: Q5706584
cites work: Q4777660
cites work: Dissipative systems analysis and control. Theory and applications
cites work: An introduction to hybrid dynamical systems
cites work: Linear Complementarity Systems
cites work: The rational complementarity problem
cites work: Q2753173
cites work: Nonsmooth mechanics. Models, dynamics and control.
cites work: Solvability theory and projection methods for a class of singular variational inequalities: Elastostatic unilateral contact applications
cites work: Fast switches in relay feedback systems
cites work: Towards a stability theory of general hybrid dynamical systems
cites work: Extended invariance principle for nonautonomous switched systems
cites work: Uniform Stability of Switched Linear Systems: Extensions of LaSalle's Invariance Principle
cites work: Dynamical properties of hybrid automata
cites work: Q2765778
DOI: 10.1007/S00498-004-0145-0
description: scientific article; zbMATH DE number 2155983