Optimal synchronization of two different in commensurate fractional order chaotic systems with fractional cost function
This article investigates the optimal synchronization of two different fractional order chaotic systems with two kinds of cost function. We use calculus of variations for minimizing cost function subject to synchronization error dynamics. We introduce optimal control problem to solve fractional Euler Lagrange equations. Optimal control signal and minimum time of synchronization are obtained by proposed method. Examples show the optimal synchronization of two different systems with two different cost functions. First, we use an ordinary integer cost function then we use a fractional order cost function and comparing the results. Finally, we suggest a cost function which has the optimal solution of this problem, and we can extend this solution to solve other synchronization problems. VC 2016 Wiley Periodicals, Inc. Complexity 000: 00 00, 2016
Complex.