This paper presents a new approach for stability analysis of Takagi-Sugeno (TS) models. The analysis considers information derived from existing or induced order relations among the membership functions. Partitioning of the state-space and the use of piecewise Lyapunov functions (PWLF) arise naturally as a consequence of induced order relations. Conditions under the novel approach can be expres...

In this paper, the switched generalized neural networks with mixed time-varying delays are proposed. Based on the strictly complete property of the matrices system, a switching rule which depends on the state of the network is designed. By employing a novel Lyapunov-Krasovskii functional, a delaydependent criterion is achieved in terms of Linear matrix inequalities (LMIs) which guarantees the e...

This paper deals with the uniqueness and stability problem for uncertain bidirectional associative memory (BAM) neural networks with time-varying delays. Based on the Lyapunov-Krasovskii functional approach and free-weighting matrices method, new delay-dependent stability criteria with two classes of system uncertainties are presented in terms of linear matrix inequalities (LMIs). By using the ...

In recently years, the stability of Cellular Neural networks has attracted many researchers, and many different types of neural networks have been widely investigated. In this paper, sufficient conditions of stability for a class of neural networks with time-varying delay are developed, which are in terms of linear matrix inequalities (LMIs). An example is given to illustrate the applicability ...

The passivity condition for delayed neural networks with uncertainties is considered in this article. From simple extension of a recent work for stability analysis of the system, a new criterion for the passivity of the system is derived in terms of linear matrix inequalities (LMIs), which can be easily solved by using various convex optimization algorithms. A numerical example is given to show...

The input passivity and output passivity are investigated for a generalized complex dynamical network, in which the coupling may be nonlinear, time-varying, and nonsymmetric. By constructing some suitable Lyapunov functionals, some input and output passivity criteria are derived in form of linear matrix inequalities LMIs for complex dynamical network. Finally, a numerical example and its simula...

This paper studies the problem of fault tolerant control design for time-delayed systems subject to actuator saturation. Delayand fault-range-dependent estimate for the domain of attraction of the origin is presented using the linear matrix inequalities (LMIs) techniques. An illustrative example is exploited to show the effectiveness of the proposed design procedures. & 2012 The Franklin Instit...

The problems of mean-square exponential stability and robust H∞ control of switched stochastic systems with time-varying delay are investigated in this paper. Based on the average dwell time method and Gronwall-Bellman inequality, a new mean-square exponential stability criterion of such system is derived in terms of linear matrix inequalities LMIs . Then, H∞ performance is studied and robust H...

In this paper we design a passive fault tolerant controller against actuator faults for discretetime piecewise affine (PWA) systems. By using dissipativity theory and H∞ analysis, fault tolerant state feedback controller design is expressed as a set of Linear Matrix Inequalities (LMIs). In the current paper, the PWA system switches not only due to the state but also due to the control input. Th...

This paper is concerned with the sliding mode control for uncertain stochastic neutral systems with multiple delays. A switching surface is adopted first. Then, by means of linear matrix inequalities LMIs , a sufficient condition is derived to ensure the global stochastic stability of the stochastic system in the sliding mode for all admissible uncertainties. The synthesized sliding mode contro...