Abstract
Uniqueness of Optimal Control of Nonlinear Infinite Neutral Functional Differential Systems with Distributed Delays in the Control
Highlights
A neutral functional differential equation is given as a differential equation depending on past and present values which involve derivatives with delays (see Banks and Kent (1972))
The above system (1.1) will be investigated for existence and uniqueness of optimal control, to achieve this, we shall begin by considering the relative controllability of the system
This establishes the uniqueness of the optimal control for the system (3.1) visa via system (1.1)
Summary
A neutral functional differential equation is given as a differential equation depending on past and present values which involve derivatives with delays (see Banks and Kent (1972)). The existence and uniqueness conditions for neutral functional differential equation have been presented (see Anichini et al (1986); Balachandran (1992)). Our principal objective in this paper is to obtain necessary and sufficient conditions for controllability, and existence of an optimal control for the system (1.1) above. In the light of this, we shall consider the nonlinear infinite space of Neutral Differential Systems with Distributed Delays in Control of the form: system (1.1) above. The above system (1.1) will be investigated for existence and uniqueness of optimal control, to achieve this, we shall begin by considering the relative controllability of the system
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