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
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;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2005.863534
