Relative controllability of nonlinear fractional delay dynamical systems with time varying delay in control

Abstract

This paper investigate the relative controllability of nonlinear fractional delay dynamical system with time varying delay in control. The necessary and sufficient conditions for the relative controllability criteria for linear fractional delay system are obtained. The sufficient conditions for the relative controllability of nonlinear fractional delay system are obtained by using Schauder fixed point arguments. Illustrative examples are given to examine the results obtained.