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 is concerned with the problem of μ-stability of impulsive neural systems with unbounded time-varying delays and continuously distributed delays. Some μ-stability criteria are derived by using the Lyapunov-Krasovskii functional method. Those criteria are expressed in the form of linear matrix inequalities LMIs , and they can easily be checked. A numerical example is provided to demons...

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...

Using new and known forms of Lyapunov functionals, this paper proposes new stability criteria for a system of Volterra integro-differential equations.  2003 Elsevier Science (USA). All rights reserved.

In this paper, we study the discrete hybrid system with different initial times. By employing Lyapunov-like functions, some new comparison theorems and several practical stability criteria for discrete hybrid system with initial time difference are obtained.

This paper addresses the problem of stability analysis for a class of genetic regulatory networks (GRNs) with Markovian jumping parameters and time-varying delays. By constructing a novel Lyapunov-Krasovskii functional (LKF) and using an appropriate enlargement scheme, new stability criteria are proposed in terms of linear matrix inequalities, which can guarantee the mean square stability of Ma...

This paper deals with the problem of delay-dependent asymptotically stability for stochastic bidirectional associative memory neural networks with time-varying structured uncertainties and time-varying delays. The parameter uncertainties are assumed to be norm bounded. Based on a Lyapunov-Krasovskii functional and the stochastic stability analysis theory, new delay-dependent stability criteria ...

This paper introduces a new effective approach to study the stability of neutral systems. By employing a special Lyapunov-Krasovskii functional form based on delay partitioning, delay-dependent stability criteria are established for the nominal and the uncertain case (polytopic type) in terms of linear matrix inequalities (LMI). Numerical examples are employed to illustrate that the delay-parti...

This paper mainly tends to utilize [Formula: see text]-type function to investigate p-th moment and almost sure stability for a class of stochastic switched nonlinear systems. Based on the multiple Lyapunov functions approach, some sufficient conditions are derived to check the stability criteria of stochastic switched nonlinear systems. One numerical example is provided to demonstrate the effe...

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.