Robust analysis and superstabilization of chaotic systems

Superstable behavior is a practically important feature of dynamic systems. In the work we study the peculiarities of superstability achievement as applied to chaotic systems. We show a class of chaotic systems, for which a technique of finding optimal superstabilizing regulators can be presented. The efficiency of superstability conditions for the robust analysis and stabilization in the presence of parametric instability is demonstrated in the work.