This paper is concerned with the stability problem with two additive time-varying delay components. By choosing one augmented Lyapunov-Krasovskii functional, using some new zero equalities, and combining linear matrix inequalities (LMI) techniques, two new sufficient criteria ensuring the global stability asymptotic stability of DNNs is obtained. These stability criteria are present in terms of...

This paper considers the problems of robust non-fragile control for uncertain discrete-delay large-scale systems under state feedback gain variations. Two classes of controller gain variations are considered. Based on the Lyapunov method, the state feedback control design for robust stability is given in terms of solutions to a linear matrix inequality (LMI). The solutions of the LMI can be eas...

This paper investigates the problem of robust exponential stability for uncertain linear-parameter dependent LPD discrete-time system with delay. The delay is of an interval type, which means that both lower and upper bounds for the time-varying delay are available. The uncertainty under consideration is norm-bounded uncertainty. Based on combination of the linear matrix inequality LMI techniqu...

In this paper, the problemof robust exponential stability analysis of uncertain discrete-time recurrent neural networks withMarkovian jumping and time-varying delays is studied. By employing the Lyapunov functional and linear matrix inequality (LMI) approach, a new sufficient criterion is proposed for the global robust exponential stability of discrete-time recurrent neural networks which conta...

This paper proposes a new passive and exponential filter for Takagi-Sugeno fuzzy Hopfield neural networks, with time delay and external disturbance. Based on the Lyapunov-Krasovskii stability theory, Jensen’s inequality, and linear matrix inequality (LMI), a new delay-dependent criterion is proposed such that the filtering error system becomes exponentially stable and passive from the external ...

This paper proposes a new fuzzy adaptive exponential synchronization controller for uncertain time-delayed chaotic systems based on Takagi-Sugeno T-S fuzzy model. This synchronization controller is designed based on Lyapunov-Krasovskii stability theory, linear matrix inequality LMI , and Jesen’s inequality. An analytic expression of the controller with its adaptive laws of parameters is shown. ...

This paper is concerned with the stability analysis problem for a class of delayed stochastic recurrent neural networks with both discrete and distributed time-varying delays. By constructing a suitable Lyapunov–Krasovskii functional, a linear matrix inequality (LMI) approach is developed to establish sufficient conditions to ensure the global, robust asymptotic stability for the addressed syst...

In this paper, we propose a newH∞ synchronization method for fuzzy model based chaotic systems with external disturbance and time-varying delay. Based on Lyapunov-Krasovskii theory, TakagiSugeno (TS) fuzzy model, and linear matrix inequality (LMI) approach, the H∞ synchronization controller is presented to not only guarantee stable synchronization but also reduce the effect of external disturba...

Abstract-This paper deals with the problem of persistent bounded disturbance rejection for uncertain neutral delay systems. Using Lyapunov-Krasovskii functional method, we establish sufficient conditions in terms of linear matrix inequality (LMI) that simultaneously ensure ρ-performance and stability (delay-dependent and delay-independent). Particulary, for the delay-dependent case, an estimati...

In this paper, new separated delay-dependent H2 performance criterion is derived for a class of discrete timedelay systems. When used in robust synthesis for real polytopic uncertainty, it can rule out the technical restriction of using a single Lyapunov function to some extent, and therefore, lead to potentially less conservative linear matrix inequality (LMI) characterizations. The results ar...