Exponential Stability of Singularly Perturbed Systems with Time Delay

Xinzhi Liu Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada

Xuemin Shen Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada

Yi Zhang Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada

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.

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Exponential Stability of Singularly Perturbed Systems with Time Delay

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