Optimal synchronization of Roessler system with complete uncertain parameters

The paper discusses the optimal control for the chaos synchronization of Roessler systems with complete uncertain parameters during finite and infinite time intervals. Based on the Liapunov-Bellman technique, optimal control laws are derived from the conditions that ensure asymptotic stability of the error dynamical system and minimizes the cost transfer of this system from arbitrary state to its equilibrium state. The derived control laws make the states of two identical Roessler systems asymptotically synchronized. Some special cases are introduced. Important numerical simulation is included to show the effectiveness of the optimal synchronization technique