Paper Info
Title
Stability Analysis of Second-Order Switched Homogeneous Systems
Abstract
We study the stability of second-order switched homogeneous systems. Using the concept of generalized first integrals we explicitly characterize the "most destabilizing" switching-law and construct a Lyapunov function that yields an easily verifiable, necessary and sufficient condition for asymptotic stability. Using the duality between stability analysis and control synthesis, this also leads to a novel algorithm for designing a stabilizing switching controller.
Year
DOI
Venue
2002
10.1137/S0363012901389354
SIAM J. Control and Optimization
Keywords
Field
DocType
sufficient condition,second-order switched homogeneous systems,stability analysis,absolute stability,homogeneous system,robust stability,switched linear systems,hybrid control,hybrid systems,asymptotic stability,lyapunov function,novel algorithm,control synthesis,second order,hybrid system
Lyapunov function,Control theory,Mathematical optimization,Homogeneous,Exponential stability,Duality (optimization),Verifiable secret sharing,Hybrid system,Mathematics,First integrals
Journal
Volume
Issue
ISSN
41
5
0363-0129
Citations 
PageRank 
References 
29
2.42
6
Authors
2
Name
Order
Citations
PageRank
David Holcman17614.22
Michael Margaliot278359.94