@article{ART001778025},
author={Kap Rai Lee},
title={Fuzzy ∞ Filtering for Discrete-Time Nonlinear Markovian Jump Systems with State and Output Time Delays},
journal={Journal of The Korea Society of Computer and Information},
issn={1598-849X},
year={2013},
volume={18},
number={6},
pages={9-19}
TY - JOUR
AU - Kap Rai Lee
TI - Fuzzy ∞ Filtering for Discrete-Time Nonlinear Markovian Jump Systems with State and Output Time Delays
JO - Journal of The Korea Society of Computer and Information
PY - 2013
VL - 18
IS - 6
PB - The Korean Society Of Computer And Information
SP - 9
EP - 19
SN - 1598-849X
AB - This paper deals with fuzzy ∞ filtering problem of discrete-time nonlinear Markovian jump systems with state and output time delays. The purpose is to design fuzzy ∞ filter such that the corresponding estimation error system with time delays and initial state uncertainties is stochastically stable and satisfies an ∞ performance level. A sufficient condition for the existence of fuzzy ∞ filter is given in terms of matrix inequalities. In order to relax conservatism, a stochastic mode dependent fuzzy Lyapunov function is employed. The Lyapunov function not only is dependent on the operation modes of system, but also includes the fuzzy membership functions.
An illustrative example is finally given to show the applicability and effectiveness of the proposed method.
KW - output and state time delays;discrete-time nonlinear Markovian jump systems;initial state uncertainties;a stochastic fuzzy Lyapunov function;stabilization fuzzy filter;fuzzy ∞ filter
DO -
UR -
ER -
Kap Rai Lee. (2013). Fuzzy ∞ Filtering for Discrete-Time Nonlinear Markovian Jump Systems with State and Output Time Delays. Journal of The Korea Society of Computer and Information, 18(6), 9-19.
Kap Rai Lee. 2013, "Fuzzy ∞ Filtering for Discrete-Time Nonlinear Markovian Jump Systems with State and Output Time Delays", Journal of The Korea Society of Computer and Information, vol.18, no.6 pp.9-19.
Kap Rai Lee "Fuzzy ∞ Filtering for Discrete-Time Nonlinear Markovian Jump Systems with State and Output Time Delays" Journal of The Korea Society of Computer and Information 18.6 pp.9-19 (2013) : 9.
Kap Rai Lee. Fuzzy ∞ Filtering for Discrete-Time Nonlinear Markovian Jump Systems with State and Output Time Delays. 2013; 18(6), 9-19.
Kap Rai Lee. "Fuzzy ∞ Filtering for Discrete-Time Nonlinear Markovian Jump Systems with State and Output Time Delays" Journal of The Korea Society of Computer and Information 18, no.6 (2013) : 9-19.
Kap Rai Lee. Fuzzy ∞ Filtering for Discrete-Time Nonlinear Markovian Jump Systems with State and Output Time Delays. Journal of The Korea Society of Computer and Information, 18(6), 9-19.
Kap Rai Lee. Fuzzy ∞ Filtering for Discrete-Time Nonlinear Markovian Jump Systems with State and Output Time Delays. Journal of The Korea Society of Computer and Information. 2013; 18(6) 9-19.
Kap Rai Lee. Fuzzy ∞ Filtering for Discrete-Time Nonlinear Markovian Jump Systems with State and Output Time Delays. 2013; 18(6), 9-19.
Kap Rai Lee. "Fuzzy ∞ Filtering for Discrete-Time Nonlinear Markovian Jump Systems with State and Output Time Delays" Journal of The Korea Society of Computer and Information 18, no.6 (2013) : 9-19.
