This paper deals with the stability problem for a class of linear neutral delaydifferential systems. The time delay is assumed constant and known. Delaydependent criteria are derived. The criteria are given in the form of linear matrix inequalities which are easy to use when checking the stability of the systems considered. Numerical examples indicate significant improvements over some existing...

This paper deals with the problem of H∞ filter design for nonlinear discretetime systems with time-varying delays via T-S fuzzy model approach. Some delaydependent conditions for fuzzy H∞ filter are proposed in terms of linear matrix inequalities(LMIs), which produce a less conservative result. Finally, one numerical example is given to demonstrate the effectiveness and the benefits of the prop...

This paper offers new necessary and sufficient conditions for delaydependent asymptotic stability of the linear continuous large scale time delay systems. The obtained conditions of stability are expressed by nonlinear system of matrix equations and the Lyapunov matrix equation for an ordinary linear continuous system without delay.

This paper is concerned with the robust stability for uncertain systems with time-varying delay and nonlinear perturbations. Using Lyapunov stability theory and free weighting matrix techniques, delaydependent stability criterion is derived in terms of linear matrix inequality without applying any bounding techniques. Finally, numerical example is given to illustrate the improvement over some e...

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 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...

This paper is concerned with the problem of asymptotic stability for linear systems with time-varying delays. With the introduction of delay-partition approach, some new delaydependent stability criteria are established and formulated in the form of linear matrix inequalities. Both constant time delays and time-varying delays have been taken into account. Numerical examples are given to demonst...

This paper deals with the problem of delay-dependent guaranteed cost exponential stability of singular systems with time-varying delay. Some improved delaydependent conditions are presented, in the form of linear matrix inequalities to ensure the considered system to be regular, impulse free and exponentially stable with the existence of a guaranteed cost. Numerical examples are given to show t...

⎯By employing the Lyapunov stability theory and linear matrix inequality (LMI) technique, delaydependent stability criterion is derived to ensure the exponential stability of bi-directional associative memory (BAM) neural networks with time-varying delays. The proposed condition can be checked easily by LMI control toolbox in Matlab. A numerical example is given to demonstrate the effectiveness...

In this paper, the design problem of state estimator for a class of neural networks of neutral-type is studied. A delaydependent linear matrix inequality (LMI) criterion for existence of the estimator is proposed by using the Lyapunov method. The criterion can be easily solved by various convex optimization algorithms. A numerical example with simulation results is given to show the effectivene...