TY - GEN
T1 - Stabilization of switched linear stochastic dynamical systems under limited mode information
AU - Cetinkaya, Ahmet
AU - Hayakawa, Tomohisa
PY - 2011
Y1 - 2011
N2 - Almost sure asymptotic stabilization problem of continuous-time switched linear stochastic dynamical systems is considered. The mode signal, which manages the transition between subsystems, is modeled as a Markov chain. Mode information is assumed to be only available at certain time instances. We propose a control law that depends on the sampled information of the mode signal, which is constructed from the available mode samples. Based on our stability analysis for switched linear stochastic systems, we obtain sufficient conditions under which the proposed control law guarantees stability of the zero solution. Finally, we present an illustrative numerical example to demonstrate the efficacy of our results.
AB - Almost sure asymptotic stabilization problem of continuous-time switched linear stochastic dynamical systems is considered. The mode signal, which manages the transition between subsystems, is modeled as a Markov chain. Mode information is assumed to be only available at certain time instances. We propose a control law that depends on the sampled information of the mode signal, which is constructed from the available mode samples. Based on our stability analysis for switched linear stochastic systems, we obtain sufficient conditions under which the proposed control law guarantees stability of the zero solution. Finally, we present an illustrative numerical example to demonstrate the efficacy of our results.
UR - http://www.scopus.com/inward/record.url?scp=84860654465&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84860654465&partnerID=8YFLogxK
U2 - 10.1109/CDC.2011.6161426
DO - 10.1109/CDC.2011.6161426
M3 - Conference contribution
AN - SCOPUS:84860654465
SN - 9781612848006
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 8032
EP - 8037
BT - 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Y2 - 12 December 2011 through 15 December 2011
ER -