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On an optimal control design for Rössler system. (English) Zbl 1123.49300
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:
 49N35 Optimal feedback synthesis 93C10 Nonlinear control systems
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##### References:
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