Title
Generalized invariance principles for switched delay systems
Abstract
In this paper, the classical LaSalle's invariance principle for ordinary differential equations is extended to switched delay systems. Generalized invariance principles are established, using both multiple Lyapunov functionals and multiple Lyapunov–Razumikhin functions. As an important application, stability criteria for switched delay systems are obtained.
Year
DOI
Venue
2011
10.1093/imamci/dnq022
IMA Journal of Mathematical Control and Information
Keywords
Field
DocType
switched systems,delay systems,hybrid systems, invariance principles,stability,multiple Lyapunov functionals,multiple Lyapunov–Razumikhin functions
Invariant (physics),Control theory,Mathematics
Journal
Volume
Issue
ISSN
28
1
0265-0754
Citations 
PageRank 
References 
3
0.48
12
Authors
3
Name
Order
Citations
PageRank
Jun Liu121520.63
Xinzhi Liu21318106.23
Wei-Chau Xie327612.07