Controllability of Nonlinear Deterministic Chaotic Systems with Control-Induced Delay

Abstract This paper presents the analysis of a class of retarded nonlinear chaotic systems with control-induced delay. The existence and uniqueness of the mild solution are obtained by using the local Lipschitz condition on nonlinearity and Banach contraction principle. The approximate controllability for linear and nonlinear control delay systems has been established by sequence method and using the Nemytskii operator. The application of results is explained through an example of a parabolic partial differential equation.