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Absolute stability of impulsive control systems with time delay

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Open access
Authors
Liu, X.
Teo, Kok Lay
Zhang, Y.
Date
2005
Type
Journal Article

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Liu, Xinzhi and Teo, Kok Lay and Zhang, Yi. 2005. Absolute stability of impulsive control systems with time delay. Nonlinear Analysis: Theory, Methods & Applications. 62 (3): pp. 429-453.
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Nonlinear Analysis: Theory, Methods & Applications
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Department of Mathematics and Statistics
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NOTICE: this is the author’s version of a work that was accepted for publication in Nonlinear Analysis: Theory, Methods & Applications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in NONLINEAR ANALYSIS: THEORY, METHODS & APPLICATIONS, 62, (3), 2005. <a href="http://dx.doi.org/10.1016/j.na.2005.03.052">http://dx.doi.org/10.1016/j.na.2005.03.052</a>

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Abstract

Absolute stability is a basic and important problem in the design of automatic control systems. This paper initiate the study of absolute stability of impulsive control systems with time delay. Several absolute stability criteria are established by constructing suitable Lyapunov functionals. Some examples are also presented to illustrate the main results.