Towards ISS disturbance attenuation for randomly switched systems

Details Towards ISS disturbance attenuation for randomly switched systems Towards ISS disturbance attenuation for randomly switched systems

2007-11-22

arxiv.org/abs/0711.3525v1

Proceedings of the 46th IEEE Conference on Decision and Control, New Orleans, LA, Dec 2007, pp. 5612-5617

Mathematics

Optimization and Control

6 pages, to appear in the Proceedings of the 46th IEEE Conference on Decision & Control, 2007

Scientific paper

10.1109/CDC.2007.4434163

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.

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