Title :
A note on multistability and monotone I/O systems
Author :
Angeli, David ; Sontag, Eduardo
Author_Institution :
Dipt. di Sistemi e Inf., Univ. di Firenze, Italy
Abstract :
Multi-stability and hysteresis are important systems properties in many applications, and particularly in biology. This paper studies such properties in the framework of monotone systems with well-defined steady-state responses. Characterizations of global stability behavior are stated in terms of easily checkable graphical conditions.
Keywords :
biology; feedback; hysteresis; input-output stability; multidimensional systems; biology; global stability characterizations; graphical conditions; hysteresis; monotone I/O systems; monotone input-output systems; multidimensional systems; multistability; steady state responses; Biological system modeling; Computational biology; Convergence; Feedback loop; Hysteresis; Stability; State feedback; Steady-state; Systems biology; Testing;
Conference_Titel :
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
Print_ISBN :
0-7803-7924-1
DOI :
10.1109/CDC.2003.1272537
