This paper studies the problems of global exponential robust stability of high-order hopfield neural networks with time-varying delays. By employing a new Lyapunov-Krasovskii functional and linear matrix inequality, some criteria of global exponential robust stability for the high-order neural networks are established, which are easily verifiable and have a wider adaptive.

In this paper, we study the complete synchronization of a class of time-varying delayed coupled chaotic systems using feedback control. In terms of Linear Matrix Inequalities, a sufficient condition is obtained through using a Lyapunov-Krasovskii functional and differential equation inequalities. The conditions can be easily verified and implemented. We present two simulation examples to illust...

This paper is concerned with the stability analysis problem of bidirectional associative memory neural networks with time-varying delays and leakage delays. A new sufficient stability criterion is derived for the addressed system in terms of linear matrix inequalities by constructing a Lyapunov-Krasovskii functional and employing delay decomposition approach. Finally, the effectiveness of deriv...

This paper presents the robust stability of Takagi-Sugeno(T-S) fuzzy systems with sampled-data. By constructing an augmented modified Lyapunov-Krasovskii functional, which includes three triple integrals, some less conservative results are obtained compared with the existing results. Numerical examples are presented to demonstrate the improvement of the proposed method.

This paper investigates the stability problem of Markovian jump systems with multiple delay components and polytopic uncertainties. A new Lyapunov– Krasovskii functional is used for the stability analysis of Markovian jump systems with or without polytopic uncertainties. Two numerical examples are provided to demonstrate the applicability of the proposed approach.

Sufficient conditions of interval absolute stability of nonlinear control systems described in terms of systems of the ordinary differential equations with delay argument and also neutral type are obtained. The Lyapunov-Krasovskii functional method in the form of the sum of a quadratic component and integrals from nonlinearity is used at construction of statements.

The robust stochastic stability for a class of uncertain neutral-type delayed neural networks driven by Wiener process is investigated. By utilizing the Lyapunov-Krasovskii functional and inequality technique, some sufficient criteria are presented in terms of linear matrix inequality LMI to ensure the stability of the system. A numerical example is given to illustrate the applicability of the ...

This paper presents a stability criterion for global asymptotic stability of the equilibrium point for Bidirectional Associative Memory (BAM) neural networks with fixed time delays. An approach combining the Lyapunov-Krasovskii functional with Linear Matrix Inequality (LMI) is taken to investigate the stability of the system. A delay-dependent LMI criterion is derived. Finally, a numerical exam...

This paper investigates the stability problem of Markovian jump systems with multiple delay components and polytopic uncertainties. A new Lyapunov– Krasovskii functional is used for the stability analysis of Markovian jump systems with or without polytopic uncertainties. Two numerical examples are provided to demonstrate the applicability of the proposed approach.

The stability problem on delay-dependent exponential convergence for neutral-type systems with nonlinear perturbations is investigated in this paper. A linear matrix inequality (LMI) based exponential stability criterion is derived by means of the Lyapunov-Krasovskii functional approach and a parameterized model transformation technique. An example is used to illustrate the less conservative re...