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The problem of delay-dependent H∞ filtering for uncertain stochastic time-delay systems with norm-bounded uncertainties is investigated in this paper. By introducing an additional vector, a new integral inequality in the stochastic setting is established. Based on this new inequality and free-weighting matrix technique, a delay-dependent sufficient condition for the existence of an H∞ filter for uncertain...
This paper addresses the problem of H∞ filtering for singular systems with communication delays. The information limitations, which include measurement quantization, signal transmission delay and data packet dropout, are considered. Based on the linear matrix inequality (LMI) approach, a full-order filter is designed to cope with the aforementioned information limitations such that the filtering error...
This paper investigates robust asymptotic mean-square stability for uncertain stochastic delay systems with Markovian switching. Two types of parametric uncertainties are considered, i.e. Lipschitz nonlinear uncertainties and norm-bounded uncertainties. Based on introducing an auxiliary vector, an integral inequality in stochastic context is obtained. By this stochastic integral inequality, delay-dependent...
In this paper, the problem of delay-dependent Hinfin filtering for a class of nonlinear singular systems with network-induced delays is considered. The aim is to design a filter such that the filtering error singular system is regular, impulse-free, stable and satisfies a prescribed Hinfin performance level. According to the linear matrix inequality (LMI) approach, a sufficient condition that guarantee...
This paper investigates stability analysis for linear systems with Markovian jumping parameters and state delays. Based on delay subinterval decomposition approach, a new Lyapunov-Krasovskii functional is proposed to develop the delay-dependent stochastic stability conditions for both nominal and uncertain time-delay Markovian systems. The results are formulated in terms of linear matrix inequalities...
This paper investigates the problem of robust stochastic exponential control for a class of uncertain Ito-type stochastic Lurie systems with time delays. Based on Lyapunov-Krasovskii approach, a sufficient condition for the existence of a linear memoryless state feedback controller is formulated in terms of a linear matrix inequality (LMI). For all admissible parametric uncertainties, the desired...
In this paper, the time-delay dependent robust stability problem is investigated for Markovian jump discrete-time neural networks with mode-dependent time delays. The jumping parameters are considered as discrete-time, discrete-state Markov process. The linear factional uncertainty is considered, it means that less conservative results will be obtained than using norm-bounded parameter uncertainties...
This paper deals with the problem of robust D-stability analysis on pendulum systems, with respect to structured uncertainties. Sufficient conditions, which are computationally simple, and need not calculate the eigenvalues of the system, is proposed to ensure that the inverted pendulum system is D-stable, that is, all its finite poles are located within a specified disk
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