Korobov's controllability function method applied to finite-time stabilization of the Rössler system via bounded controls

Abstract

The problem of stabilizing the Rossler system in nite time by bounded controlis considered. We employ V. I. Korobov's controllability function method, whichinvolves a Lyapunov-type function. The controllability function is the solutionof an implicit equation. A family of bounded controls which solve the problemis explicitly computed. Besides, the time that it takes the trajectory to reachthe desired equilibrium is estimated.