In this paper, the problem of the stability analysis for neutral delay-di€ erential systems with nonlinear perturbations is investigated. Using the L yapunov method, we present new su cient conditions for the stability, in terms of the linear matrix inequality (LMI), which can be easily solved by various convex optimization algorithms. Numerical examples are given to illustrate the application...

This paper deals with the problem of H1 control for a class of linear discrete-time periodic system with delays. The obtained results are then extended for the time-delay periodic system with Linear Fractional Representation (LFR) uncertainty. Furthermore, linear matrix inequality (LMI)-based su cient conditions for H1 control are established. Two numerical examples are given to illustrate the ...

In this paper, we propose a design method of a static anti-windup compensator that guarantees closed-loop stability and optimizes performance criterion proposed by Teel and Kapoor. Further, we extend the method to the robust performance problem. We provide design procedures based on linear matrix inequality (LMI) representation.

This paper considers the problem of discrete passive filter design method for singular systems with interval time-varying delay. A bounded real lemma (BRL) for discrete passivity with a dissipation of discretetime delayed singular systems by a Lyapunov function is derived. A delay-dependent discrete passive filter design method is proposed by linear matrix inequality (LMI) approach on the basis...

In this paper, robust stability of uncertain singularly perturbed systems with state delays is studied. Based on Lyapunov-Krasovskii stability theorem and linear matrix inequality (LMI) technique, sufficient conditions are given to guarantee that systems are asymptotically stable, and explicit stability bounds are attained by solving convex optimization problem. Numerical example is presented t...

In this paper, we propose a new stability criterion for uncertain neutral systems. The considered system has time-varying structured uncertainties and time-varying delay. Based on the Lyapunov method, a delay-dependent criterion for asymptotic stability is derived in terms of LMI (linear matrix inequality). Numerical examples are given to show the effectiveness of our results. 2007 Elsevier Inc...

and Applied Analysis 3 denotes a class of continuous functions f(x, t) : R × [0, +∞) → R n satisfying (x − y) T P (f (x, t) − f (y, t) − Δ (x − y)) ≤ −η(x − y) T (x − y) (4) for some η > 0, all x, y ∈ R and all t ≥ 0. Lemma 4 (Schur complement [25]). The following linear matrix inequality (LMI)

This paper proposes different parameterized linear matrix inequality (PLMI) characterizations for fuzzy control systems. These PLMI characterizations are, in turn, relaxed into pure LMI programs, which provides tractable and effective techniques for the design of suboptimal fuzzy control systems. The advantages of the proposed methods over earlier ones are then discussed and illustrated through...

In this paper, we consider the problem of global robust stability for cellular neural networks which have time-varying delay and parametric uncertainties. Using the Lyapunov method and linear matrix inequality (LMI) framework, the delay-dependent criterion is presented in terms of LMIs. Two numerical examples are presented to illustrate the effectiveness of our result. 2005 Elsevier Ltd. All ri...

In this paper, further result on design problem of state estimator for a class of neural networks of neutral type is presented. A delay-dependent linear matrix inequality (LMI) criterion for existence of the estimator is derived. A numerical simulation is given to show the effectiveness of proposed estimator. 2008 Elsevier Inc. All rights reserved.