Constrained Controllability Of Linear And Semilinear Systems With Delay In State And Control

ABSTRACT

In this work, sufficient conditions for the constrained controllability of linear and semi linear systems with delay in state and control are formulated and proved. For the linear delay system, necessary and sufficient conditions are developed by establishing the equivalence of a delay system without delay to show local relative controllability. For the semi linear delay system, sufficient conditions are also developed by using the associate linear dynamical system to establish local relative controllability. The result was obtained using the generalized open mapping theorem.