Adaptive unstable periodic orbit stabilization of uncertain time-delayed chaotic systems subjected to input nonlinearity

This paper investigates stabilizing the unstable periodic orbits (UPO) of uncertain time-delayed chaotic systems with sector nonlinearity in input function. The article proposes an adaptive output feedback control design based on the Lyapunov–Krasovskii approach, to stabilize the periodic solutions of a broad class of time-delayed chaotic systems, with unknown time-delay and uncertainty. Finally, numerical simulations are presented to illustrate the effectiveness of the proposed method.