The problem of delay-dependent stochastic stability for neutral Markovian jump systems with mixed delays is investigated in this paper. Combined the new constructed Lyapunov functional with the introduced free matrices, and using the analysis technique of matrix inequalities, the delay-dependent stability conditions are obtained. The obtained results are formulated in terms of LMIs, which can b...

This paper considers the delay-dependent exponential stability for discrete-time BAM neural networks with time-varying delays. By constructing the new Lyapunov functional, the improved delay-dependent exponential stability criterion is derived in terms of linear matrix inequality LMI . Moreover, in order to reduce the conservativeness, some slack matrices are introduced in this paper. Two numer...

In this paper, the problem of a new delay-dependent robust stability criterion for neutral systems is investigated. The considered system has time-varying structured uncertainties and interval time-varying delays. Based on the Lyapunov method, a delay-dependent criterion for asymptotic stability is established in terms of LMI (linear matrix inequality). Numerical examples are carried out to sup...

In this paper, the robust asymptotic stability for a class of uncertain neutral system with time delays are considered. Based on Lyapunov theory, some stability criteria are derived. Delay-dependent and delay-independent criteria are proposed for the stability of our considered systems. Linear matrix inequality (LMI) approach and genetic algorithms (GAS) are used to solve the stability problems...

Abstract This paper studies a Balakrishnan–Taylor viscoelastic wave equation with strong time-dependent delay. Under suitable assumptions on the coefficients of delay term, we establish generalized stability result, which improve some earlier results in literature.

This paper deals with the problem of delay-partitioning-based asymptotic stability analysis for large-scale systems with neutral delay and switched-type. By applying weighting-delay-parameter approach, introducing both singular model transformation technique and Finsler’s lemma, and constructing an augmented Lyapunov-Krasovskii functional combined with free matrices, a novel delay-partitioning-...

This paper is concerned with the stability analysis of networked control systems (NCSs) with random delays in the control loop. The time delay between sensor and controller is modeled as a Markov process, the time delay between controller and actuator is assumed constant. A sampled-data system approach is considered. We assume that the controller is able to monitor the transmission delay which ...

in this paper we consider the problem of delay-dependent robusth1 control for uncertain fuzzy systems with time-varying delay. the takagi–sugeno (t–s) fuzzy model is used to describe such systems. time-delay isassumed to have lower and upper bounds. based on the lyapunov-krasovskiifunctional method, a sufficient condition for the existence of a robust $h_{infty}$controller is obtained. the fuzz...

This paper deals with the problem of delay-dependent asymptotic stability for large-scale switched systems with time-varying neutral delay. By constructing an augmented Lyapunov-Krasovskii functional (LKF) method combined with slack matrices, introducing both singular model transformation technique and Finsler’s lemma, and using delay-dividing concept, a novel delay-dividing-dependent stability...

This paper studies an LMI optimization problem of delay-dependent robust stability criteria for stochastic systems with polytopic and linear fractional uncertainties. The delay is assumed to be time-varying and belong to a given interval, which means that lower and upper bounds of this interval time-varying delay are available. The uncertainty under consideration includes polytopic-type uncerta...