Title :
Remarks on Monotone Control Systems with Multi-Valued Input-State Characteristics
Author :
De Leenheer, Patrick ; Malisoff, Michael
Author_Institution :
Department of Mathematics; University of Florida; 411 Little Hall; PO Box 118105; Gainesville, FL 32611–8105 USA; Tel.: +1 352 392 0281 ext. 240; Fax: +1 352 392 8357; deleenhe@math.ufl.edu
Abstract :
We announce a new global 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. The proof of our theorem is based on Thieme’s convergence theory for asymptotically autonomous systems. We also provide an illustrative example.
Keywords :
Monotone control systems; asymptotic equilibria; set-valued input-state characteristics; Control systems; Convergence; Density functional theory; Embedded system; Gene expression; Lyapunov method; Mathematics; Negative feedback; System testing; Trajectory; Monotone control systems; asymptotic equilibria; set-valued input-state characteristics;
Conference_Titel :
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
Print_ISBN :
0-7803-9567-0
DOI :
10.1109/CDC.2005.1583458
