Double delayed feedback control for the stabilization of unstable steady states in chaotic systems

Double delayed feedback control (DDFC) method with two mutually prime delays is analytically analyzed for the stabilization of unstable steady states. Some stabilization criteria are proposed by utilizing Lyapunov theory and matrix inequality technique. The relation between the feedback gain matrices and the controller delays can be implicitly represented by the given criterion. Numerical result is also presented to show the effectiveness and flexibility of the proposed method.