Journal of Optimization Theory and Applications
Brief paper: Stabilization of linear systems over networks with bounded packet loss
Automatica (Journal of IFAC)
Brief paper: Sliding mode control for Itô stochastic systems with Markovian switching
Automatica (Journal of IFAC)
A survey of linear matrix inequality techniques in stability analysis of delay systems
International Journal of Systems Science
Brief paper: New results on stabilization of Markovian jump systems with time delay
Automatica (Journal of IFAC)
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics - Special issue on human computing
Robust stabilization of Markovian delay systems with delay-dependent exponential estimates
Automatica (Journal of IFAC)
l2-l∞ filter design for discrete-time singular Markovian jump systems with time-varying delays
Information Sciences: an International Journal
A delay-dependent approach to robust H∞ filtering for uncertain distributed delay systems
IEEE Transactions on Signal Processing - Part I
Stability and Dissipativity Analysis of Distributed Delay Cellular Neural Networks
IEEE Transactions on Neural Networks
IEEE Transactions on Neural Networks
Unbiased estimation of Markov jump systems with distributed delays
Signal Processing
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This paper is concerned with the problem of exponential L"2-L"~ filter design for linear systems simultaneously with distributed delays, Markovian jumping parameters and norm-bounded parametric uncertainties. The purpose is to design full-order mode-dependent filters such that the filtering error system is not only mean-square robustly exponentially stable with a specified decay rate but also satisfies an L"2-L"~ performance requirement. First, sufficient conditions for the stability and performance analysis of the filtering error system are derived based on a novel version of mode-dependent Lyapunov-Krasovskii functional. Then, delay-dependent and decay-rate-dependent conditions for the existence of desired filters are obtained in terms of linear matrix inequalities (LMIs). The filter coefficients can be computed by using feasible solutions of the presented LMIs. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed design method.