Based on a recent work and the linear matrix inequality (LMI) optimization approach, we extend the recent work on global asymptotic stability of a class of neural networks to uncertain cellular neural networks with time-varying discrete and distributed delays. 2006 Elsevier Inc. All rights reserved.

The stability problem on delay-dependent exponential convergence for neutral-type systems with nonlinear perturbations is investigated in this paper. A linear matrix inequality (LMI) based exponential stability criterion is derived by means of the Lyapunov-Krasovskii functional approach and a parameterized model transformation technique. An example is used to illustrate the less conservative re...

The delay-dependent and delay-independent conditions are proposed in order to assure the stability for the uncertain neutral system with interval time-varying delays. New additional nonnegative inequalities are introduced to improve the analysis. The solving schemes based on Linear Matrix Inequality (LMI) approach along with the selective examples are presented to demonstrate the improvements a...

This paper deals with the consensus control of a multi-agent system with state and measurement disturbances, and proposes a distributed dynamic output feedback protocol. By defining an appropriate controlled output, the consensus control problem is reformulated as an H∞ control problem. Using H∞ techniques, a sufficient condition in terms of linear matrix inequalities (LMIs) is given to ensure ...

This paper is concerned with the analysis problem of exponential stability for a class of discrete-time recurrent neural networks (DRNNs) with time delays. The delay is of the time-varying nature, and the activation functions are assumed to be neither differentiable nor strict monotonic. Furthermore, the description of the activation functions is more general than the recently commonly used Lip...

This paper addresses the H∞ state feedback control problem for discrete-time piecewise affine systems. Our main objective is to derive design methods that take into account the partition information of the system so as to alleviate the design conservativeness embedded in conventional approaches where local Lyapunov functions are required to possess some global characteristics. To overcome the d...

This paper is concerned with the H∞ state feedback control problem for a class of nonlinear stochastic systems with time-varying state delays. Firstly, the stochastic dissipativity of the time-delay nonlinear system is established, based on which the H∞ state feedback controller is synthesized. We show that the closed-loop system rendered by the designed controller can achieve the L2-gain perfo...

A novel optimization method is proposed to minimize a convex function subject to bilinear matrix inequality (BMI) constraints. The key idea is to decompose the bilinear mapping as a difference between two positive semidefinite convex mappings. At each iteration of the algorithm the concave part is linearized, leading to a convex subproblem.Applications to various output feedback controller synt...

A general approach for solving structurally constrained H ∞ suboptimal control problems is proposed. The structurally constrained problems include static output feedback control, decentralized control, and fixed controllers for different operating conditions. The approach uses a dual design formulation based on an H ∞ state-feedback controller parametrization result. The dual design condition i...