On an optimal control design for Rössler system

• DOI: 10.1016/j.physleta.2004.10.032
• Publication Date: 2004-10-23T23:07:12Z
• Authors: Marat Rafikov; José Manoel Balth...
• Keywords: Dynamical system (definition)

Abstract In this Letter, an optimal control strategy that directs the chaotic motion of the Rossler system to any desired fixed point is proposed. The chaos control problem is then formulated as being an infinite horizon optimal control nonlinear problem that was reduced to a solution of the associated Hamilton–Jacobi–Bellman equation. We obtained its solution among the correspondent Lyapunov functions of the considered dynamical system.