Finite spectrum assignment for nonlinear time-delay systems using synchronization-based predictor

This paper considers the stabilization problem for nonlinear retarded systems. The author has already proposed a finite spectrum assignment method for nonlinear retarded systems by extending the finite spectrum assignment for linear systems over commutative rings. In this paper, introducing a state predictor based on anticipating synchronization, we propose a new stabilization technique for nonlinear retarded systems. The effectiveness of the proposed control scheme is illustrated by a numerical simulation.