Absolute stability of impulsive control systems with time delay
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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>
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.
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