Abstract: This paper is concerned with analysis problem for the global exponential stability of recurrent neural networks (RNNs) with mixed discrete and distributed delays, unlike other papers, the nodes are associated with the topology of network. By using Lyapunov-Krasovskii functional and Young inequality, we give the sufficient condition of global exponential stability of the new cellular n...

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...

Stabilization of a class of systemswith time delay is studied using adaptive control.With the help of the “error to error” technique and the separated “descriptor form” technique, the memory state-feedback controller is designed.The adaptive controller designed can guarantee asymptotical stability of the closed-loop system via a suitable Lyapunov-Krasovskii functional. Some sufficient condition...

In this paper,the exponential passivity criteria for BAM neural networks with time-varying delays is studied.By constructing new Lyapunov-Krasovskii functional and dividing the delay interval into multiple segments,a novel sufficient condition is established to guarantee the exponential stability of the considered system.Finally,a numerical example is provided to illustrate the usefulness of th...

In this paper, the delay-dependent stability problem for a class of neural networks of neutral-type with interval time-varying delays and nonlinear perturbations is investigated. A novel stability criterion is obtained in terms of linear matrix inequality (LMI) by employing a Lyapunov-Krasovskii functional. The proposed criteria can be checked easily by the LMI Control Toolbox in Matlab. In add...

in this paper, linear matrix inequality (lmi) approach for synchronization of chaotic fuzzy cellular neural networks (fcnns) with discrete and unbounded distributed delays based on sampled-data controlis investigated. lyapunov-krasovskii functional combining with the input delay approach as well as the free-weighting matrix approach are employed to derive several sufficient criteria in terms of...

In this paper we demonstrate how Lyapunov-Krasovskii functionals can be used to obtain exponential bounds for the solutions of time-invariant linear delay systems.

Abstract. In this paper, an adaptive learning control approach is presented for the hybrid functional projective synchronization (HFPS) of different chaotic systems with fully unknown periodical time-varying parameters. Differential-difference hybrid parametric learning laws and an adaptive learning control law are constructed via the Lyapunov–Krasovskii functional stability theory, which make ...