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Analysis and design of impulsive control systems. (English) Zbl 1001.93068

The authors consider the problem of impulsive control based on the theory of impulsive differential equations. Some sufficient conditions are derived to ensure the asymptotic stability of an impulsive differential system with impulses at fixed times. The result is also applied to design an impulsive control for a class of nonlinear systems. The method is helpful for improving the existing technologies used in chaotic secure communication systems and chaotic spread spectrum communications.

MSC:

93D20 Asymptotic stability in control theory
34A37 Ordinary differential equations with impulses
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