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Superstability conditions based robust stabilization of a class of uncertain hyperchaotic systems

Yuri Talagaev, Andrey Tarakanov
In the work we present a superstability conditions based method of the analysis and control of hyperchaotic systems with parametric uncertainty. The constructive ways of checking the system achievability of the superstable dynamics are described. A class of superstabilizable hyperchaotic systems is defined. For this class we show the ways of using superstability conditions for the robust analysis and design of the superstabilizable controller, which provides the given characteristics of the transient response. The efficiency of the presented approach is proved by the numeric simulation result cited in the work.
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