This paper studies the stability analysis problem for time-varying delay systems. An appropriate Lyapunov-Krasovskii functional (LKF) is constructed where its derivative a quadratic polynomial function of delay. A novel negative condition mentioned with two variable parameters developed to ensure that LKF negative, reducing conservatism on some similar results. Besides, an extended version Bess...

The stability problem of discrete-time linear systems with interval time-varying delays is investigated in this paper. According to the latest summation inequality technique, an improved free-matrix-based proposed In order make full use bound upper bounds difference Lyapunov-Krasovskii functional (LKF), augmented LKF some extra status information constructed. A new delay-range-dependent criteri...

This paper discusses the mean-square exponential stability of uncertain neutral linear stochastic systems with interval time-varying delays. A new augmented Lyapunov-Krasovskii functional LKF has been constructed to derive improved delay-dependent robust mean-square exponential stability criteria, which are forms of linear matrix inequalities LMIs . By free-weight matrices method, the usual res...

This paper is concerned with the robust stability of uncertain neutral-type Lur’e system with interval time-varying delays and sector-bounded nonlinearities. By use of augmented Lyapunov-Krasovskii functional (LKF) and delay-partitioning techniques, delay-dependent robust stability criteria are proposed in terms of linear matrix inequalities (LMIs) without using the general free-weighting matri...

Adaptive control using the ?-modification provides an easily implementable way to stabilize systems with uncertain or fluctuating parameters. Motivated by a specific application from neuroscience, we extend here this methodology nonlinear time-delay ruled globally Lipschitz dynamics. In order make result more handy in practice, provide explicit construction of Lyapunov–Krasovskii functional (LK...

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...

This paper is concerned with the stability of linear systems a time-varying delay. First, we derive new form constrained quadratic matrix inequality for reciprocally convex inequality. Second, an equivalent transform into inequality(LMI) derived. Third, upper bound time derivative Lyapunov Krasovskii functional(LKF), in matrix, obtained, and done to make it LMI. Finally, improvement shown throu...

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...

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...