Title :
A remark on multistability for monotone systems
Author :
Enciso, German ; Sontag, Eduardo D.
Author_Institution :
Dept. of Math., Rutgers Univ., New Brunswick, NJ, USA
Abstract :
A recent paper by Angeli and Sontag presented a stability criterium for feedback loops involving single input, single output models, which admit a well-defined I/O characteristic and satisfy a monotonicity condition. This paper extends the result to systems with multiple inputs and outputs and delays, and introduces a continuous-time reduction of such systems that preserves some of their stability properties.
Keywords :
MIMO systems; continuous time systems; delays; feedback; stability; stability criteria; continuous-time reduction; delays; feedback loops; monotone system; multiple inputs multiple output model; multistability; single input single output model; stability criterium; Biological control systems; Closed loop systems; Control systems; Delay; Feedback loop; Mathematical model; Mathematics; Stability criteria; Steady-state; Writing;
Conference_Titel :
Decision and Control, 2004. CDC. 43rd IEEE Conference on
Print_ISBN :
0-7803-8682-5
DOI :
10.1109/CDC.2004.1428638