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2013 Input-to-State Stability of Singularly Perturbed Control Systems with Delays
Yongxiang Zhao, Aiguo Xiao, Li Li
J. Appl. Math. 2013: 1-8 (2013). DOI: 10.1155/2013/401572

Abstract

We study the input-to-state stability of singularly perturbed control systems with delays. By using the generalized Halanay inequality and Lyapunov functions, we derive the input-to-state stability of some classes of linear and nonlinear singularly perturbed control systems with delays.

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Yongxiang Zhao. Aiguo Xiao. Li Li. "Input-to-State Stability of Singularly Perturbed Control Systems with Delays." J. Appl. Math. 2013 1 - 8, 2013. https://doi.org/10.1155/2013/401572

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Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 1271.93113
MathSciNet: MR3064957
Digital Object Identifier: 10.1155/2013/401572

Rights: Copyright © 2013 Hindawi

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