Exponential Stability of Singularly Perturbed Systems with Time Delay

Authors: Liu X.1; Shen X.2; Zhang Y.1

Source: Applicable Analysis, Volume 82, Number 2, 2003 , pp. 117-130(14)

Publisher: Taylor and Francis Ltd

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Abstract:

In this article, we study the exponential stability of singularly perturbed systems with time delay. By using vector delay inequalities and Lyapunov functions, exponential stability criteria are derived for both linear and some classes of nonlinear singularly perturbed systems with time delay. Examples are given to verify the stability criteria.

Keywords: Singular perturbation; Time delay; Exponential stability

Document Type: Research article

DOI: 10.1080/000368103763297429

Affiliations: 1: Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1 2: Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1

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