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The stability of cellular neural networks (CNNs) with time-varying delays and parametric uncertainties is investigated in the present paper. By introducing a new Lyapunov-Krasovskii functional in virtue of the linearization of the model under investigation and considering the additional useful terms when estimating the upper bound of the derivative of Lyapunov functional, new delay-dependent stability...
This paper is concerned with the problem of stability of linear time-delay systems. Firstly, a new approach, i.e. a delay decomposition approach, is proposed to deal with the problem. The idea of the approach is that the delay interval is uniformly divided into N segments with N a positive integer, and a proper Lyapunov-Krasovskii functional is chosen with different weighted matrices corresponding...
Synchronization stability in complex dynamical networks with coupling delays is investigated. Nonlinear complex network system is transformed to linear system. A new criterion for global synchronization stability for the complex networks with coupling delays has been derived using an approach combining the Lyapunov-Krasovskii functional with LMI techniques. The results are related to the size of delays...
This article discusses the stability problem of coupled linear differential-difference equations with norm bounded uncertainty. Coupled differential-difference equations represent a very general class of time-delay systems, which include as special cases many time-delay systems of neutral type, systems with commensurate delays, and many singular time-delay systems. A new stability criterion in the...
In this paper, a new criterion is established for global robust asymptotic stability of a class of interval neural networks with multiple constant delays via the Lyapunov-Krasovskii stability theory and the linear matrix inequality (LMI) approach. A numerical example is also given to show the effectiveness of our results.
This paper proposes an improved delay-range-dependent stability condition for linear systems with an interval time-varying delay, which satisfies h1lesd(t)lesh2. The improvement is achieved by representing d(t) as h1+h(t) with 0lesh(t)lesh2-h1, and then constructing a novel Lyapunov-Krasovskii functional with the idea of partitioning the constant time delay. It is illustrated via a numerical example...
This paper considers delay-dependent decentralized Hinfin controller for a class of uncertain interconnected systems. The decentralized output feedback controllers are designed. Combining the Lyapunov-Krasovskii functional approach, the delay integral inequality of matrices and variable substitution, the delay-dependent sufficient conditions for the existence of robust decentralized Hinfin control...
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