DocumentCode
829950
Title
A small-gain theorem for motone systems with multivalued input-state characteristics
Author
Malisoff, Michael ; De Leenheer, Patrick
Author_Institution
Dept. of Math., Louisiana State Univ., Baton Rouge, LA, USA
Volume
51
Issue
2
fYear
2006
Firstpage
287
Lastpage
292
Abstract
We provide a small-gain theorem for feedback interconnections of monotone input-output systems with multi-valued input-state characteristics. This extends a small-gain theorem of Angeli and Sontag for monotone systems with singleton-valued characteristics. We prove our theorem using Thieme´s convergence theory for asymptotically autonomous systems. We also provide an illustrative example.
Keywords
interconnected systems; time-varying systems; Thieme convergence theory; asymptotic equilibria; asymptotically autonomous systems; feedback interconnections; monotone input-output systems; multivalued input-state characteristics; small-gain theorem; Control systems; Convergence; Density functional theory; Embedded system; Gene expression; Mathematics; Negative feedback; Trajectory; Asymptotic equilibria; monotone control systems; set-valued input-state characteristics;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2005.863534
Filename
1593902
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