Title :
Towards ISS disturbance attenuation for randomly switched systems
Author :
Chatterjee, Debasish ; Liberzon, Daniel
Author_Institution :
Univ. of Illinois at Urbana-Champaign, Urbana
Abstract :
We are concerned with input-to-state stability (ISS) of randomly switched systems. We provide preliminary results dealing with sufficient conditions for stochastic versions of ISS for randomly switched systems without control inputs, and with the aid of universal formulae we design controllers for ISS-disturbance attenuation when control inputs are present. Two types of switching signals are considered: the first is characterized by a statistically slow-switching condition, and the second by a class of semi-Markov processes.
Keywords :
Markov processes; stability; stochastic systems; ISS disturbance attenuation; input-to-state stability; randomly switched systems; semi-Markov processes; stochastic statistically slow-switching condition; Attenuation; Control systems; Nonlinear systems; Random processes; Signal processing; Signal synthesis; Stability; Stochastic systems; Sufficient conditions; Switched systems; input-to-state stability; multiple ISS-Lyapunov functions; randomly switched systems; universal formula for feedback stabilization;
Conference_Titel :
Decision and Control, 2007 46th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
978-1-4244-1497-0
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2007.4434163
