TY - GEN
T1 - State feedback fuzzy-model-based control for discrete-time Markovian jump nonlinear systems with time-varying delays
AU - Song, Min Kook
AU - Park, Jin Bae
AU - Joo, Young Hoon
AU - Kim, Jin Kyu
PY - 2009
Y1 - 2009
N2 - In this paper, the stability analysis and stabilization problem for a discrete-time Markovian jump nonlinear systems (MJLNS) with time-varying delays are investigated. The time-delay is considered to be time-varying and has a upper bound. The transition probabilities of the mode jumps are considered to be completely known. Sufficient conditions for stochastic stability of the markovian jump fuzzy systems (MJFS) are derived via the linear matrix inequality (LMI) formulation, and the design of the stabilizing controller is further given. A numerical example is used to illustrate the developed theory.
AB - In this paper, the stability analysis and stabilization problem for a discrete-time Markovian jump nonlinear systems (MJLNS) with time-varying delays are investigated. The time-delay is considered to be time-varying and has a upper bound. The transition probabilities of the mode jumps are considered to be completely known. Sufficient conditions for stochastic stability of the markovian jump fuzzy systems (MJFS) are derived via the linear matrix inequality (LMI) formulation, and the design of the stabilizing controller is further given. A numerical example is used to illustrate the developed theory.
KW - Linear matrix inequality (LMI)
KW - Markovian jump nonlinear sytems (MJLNS)
KW - Stochastic stability
KW - Time-varying delays
UR - http://www.scopus.com/inward/record.url?scp=71249152429&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=71249152429&partnerID=8YFLogxK
U2 - 10.1109/FUZZY.2009.5277162
DO - 10.1109/FUZZY.2009.5277162
M3 - Conference contribution
AN - SCOPUS:71249152429
SN - 9781424435975
T3 - IEEE International Conference on Fuzzy Systems
SP - 2105
EP - 2108
BT - 2009 IEEE International Conference on Fuzzy Systems - Proceedings
T2 - 2009 IEEE International Conference on Fuzzy Systems
Y2 - 20 August 2009 through 24 August 2009
ER -