Optimal control of neutral systems with nonlinear base (The maximum principle perspective)

Abstract

In this paper we examine the Euclidean controllability for a neutral system with a nonlinear base given by ddtD(t,x_t) = f[(t,x_t,u(t)] + B(t)u(t) *
By a careful analysis of the maximum principle, necessary and sufficient conditions for the existence and uniqueness of optimal controls are deduced. This work is a great improvement of existing works providing a relationship between the attainable and reachable sets.

JONAMP Vol. 11 2007: pp.269-274