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Zbl 1123.49300
Rafikov, Marat; Balthazar, José Manoel
On an optimal control design for Rössler system. (English)
[J] Phys. Lett., A 333, No. 3-4, 241-245 (2004). ISSN 0375-9601

Summary: An optimal control strategy that directs the chaotic motion of the Rössler 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.
MSC 2000:
*49N35 Closed-loop controls
93C10 Nonlinear control systems

Keywords: optimal control design; Rössler system; chaos; Hamilton-Jacobi-Bellman equation

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