Finite time synchronization of fractional chaotic systems with several slaves in an optimal manner

Optimal synchronization of chaotic fractional differential equations with one master and several slaves in finite time is the main aim of this paper. To achieve this goal, we convert the finite time synchronization problem to a fractional optimal control problem; then by solving it, we achieve the active control. In this way, we use Bernstein polynomials and prove that the corresponding minimization problem is a quadratic convex problem. Some examples using the famous Lorenz, Chen, Lu, and Liu systems are given to show the efficiency of the method. (paper)