Form of Optimal Control of Nonlinear Infinitely Space of Neutral Functional Differential Systems with Distributed Delays in the Control

In this work, a Nonlinear Infinitely Space of Neutral Functional Differential Systems with Distributed Delays in the Control is presented for controllability analysis .We linearize the system (1.1) and obtain an expression for the solution of the system using the Unsymmetric Fubini Theorem as in the paper of J.Klamka (1996).  The set functions – reachable set, attainable set, target set upon which our studies hinged were extracted.  We derived the form of the optimal control of the system 1.1) and expressed same using the definition of the signum function