This paper presents improved stability results by introducing a new delay partitioning method based on the theory of geometric progression to deal with T-S fuzzy systems in the appearance of interval time-varying delays and nonlinear perturbations. A common ratio [Formula: see text] is applied to split the delay interval into multiple unequal subintervals. A modified Lyapunov-Krasovskii functio...

In this article, an investigation about the issue of fuzzy event-triggered asynchronous dissipative control for T–S Markov jump systems (FMJSs) with unknown transition probabilities and nonuniform sampling is conducted. First all, a mode-dependent looped Lyapunov–Krasovskii functional (LKF) proposed, which takes full use available information not only from sawtooth structure characteristics but...

In this paper, a fuzzy memory-based coupling sampled-data control (SDC) is designed for nonlinear systems through the switched approach. Compared with usual SDC scheme, by employing Bernoulli sequence, more general that involving signal transmission delay designed. The Lyapunov–Krasovskii functional (LKF) presented available characteristics of membership function, and sampling pattern, T-S syst...

The problems of delay-dependent exponential passivity analysis and exponential passification of uncertain Markovian jump systems MJSs with partially known transition rates are investigated. In the deterministic model, the time-varying delay is in a given range and the uncertainties are assumed to be norm bounded. With constructing appropriate Lyapunov-Krasovskii functional LKF combining with Je...

In this paper, we investigate the delay-dependent robust stability of fuzzy Cohen-Grossberg neural networks with Markovian jumping parameter and mixed time varying delays by delay decomposition method. A new Lyapunov-Krasovskii functional (LKF) is constructed by nonuniformly dividing discrete delay interval into multiple subinterval, and choosing proper functionals with different weighting matr...

Robust stability is considered for uncertain discrete-time systems with time-varying delays from given intervals. A new construction of Lyapunov-Krasovskii functions (LKFs), which has been recently introduced in the continuous case, is applied: to a nominal LKF, which is appropriate to the system with nominal delays, terms are added that correspond to the system with the perturbed delays and th...

A novel stability analysis for the interval time-delay systems is proposed by employing a new series of integral inequalities for single and double integrals. Different from the recently introduced Wirtinger-based inequalities, refined Jensen inequalities and auxiliary function-based inequalities, the proposed ones can provide more accurate bounds for the cross terms in derivatives of the Lyapu...

The problem of delay-dependent condition for a new class of Takagi-Sugeno (T-S) fuzzy Lurie control systems with time-delay and time-variant uncertainties is investigated in this paper, which is different from existing ones. We use T-S fuzzy models to describe Lurie system in the form of a weighted sum of some simple linear subsystems, and a new delay-dependent absolute stability criterion for ...

The mean-square stability of stochastic Markovian jumping systems with variable delay is investigated in this paper. Based on Lyapunov-Krasovskii functional (LKF) method, new stability criteria are presented by applying generalized Finsler lemma (GFL). Convex analysis property is applied to use the information of the time-varying delay such that the worst-case enlargement for variable delay is ...

in this paper, we investigate the delay-dependent robust stability of fuzzy cohen-grossberg neural networks with markovian jumping parameter and mixed time varying delays by delay decomposition method. a new lyapunov-krasovskii functional (lkf) is constructed by nonuniformly dividing discrete delay interval into multiple subinterval, and choosing proper functionals with different weighting matr...