Complete results for the delay-dependent robust stability and feedback stabilization of linear neutral systems with unknown-but-bounded uncertainties are developed. New linear matrix inequalities-based delay-dependent stability criteria are derived in a systematic way using a new expanded state-space representation and a new Lyapunov-Krasovskii functional. The results are established without re...

This paper deals with the synchronization control problem for the uncertain chaotic neural networks with randomly occurring uncertainties and randomly occurring control gain fluctuations. By introducing an improved Lyapunov–Krasovskii functional and employing reciprocally convex approach, a delaydependent non-fragile output feedback controller is designed to achieve synchronization with the hel...

The purpose of this paper is to present an improved version of the time-delay system state feedback control design method. Based on the Lyapunov-Krasovskii functional the delayedindependent stability condition is derived using the linear matrix inequality techniques. The results obtained with a numerical example are presented to compare limitations in the system structure. Since the presented m...

The robust stability of a class of Hopfield neural networks with multiple delays and parameter perturbations is analysed. The sufficient conditions for the global robust stability of equilibrium point are given by way of constructing a suitable Lyapunov-Krasovskii functional. The conditions take the form of linear matrix inequality (LMI), so they are computationally efficient. In addition, the ...

This paper deals with the problem of delay-dependent stability and the stabilization of Takagi-Sugeno (T-S) fuzzy systems with a time-varying delay while imposing positivity in closed-loop. The stabilization conditions are derived using the single Lyapunov-Krasovskii Functional (LKF) combining the introduction of free-single matrices. A memory feedback control is also used in case the delay mat...

In this paper, a class of uncertain linear polytopic systems with distributed time varying delays is studied. By using an improved parameter dependent Lyapunov-Krasovskii functional approach and linear matrix inequality technique, delay-dependent sufficient conditions for exponential stability of the system are first established in terms of MondieKharitonov type’s linear matrix inequalities (LM...

This paper address the exponential stability for a class of switched systems with mixed time delays. Based on linear matrix inequalities and Lyapunov-Krasovskii functional approach, a geometrically switching rule for the exponential stability of the system is designed. The approach allows to compute simultaneously the two bounds that characterize the exponential stability rate of the solution. ...

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 ...