Controlling linear functional differential equation

Abstract

Necessary conditions for the optimal control of a linear system of neutral type functional differential equations are obtained. We show that a success in reducing the initial problem to the problem of solvability of a certain boundary value problem is, in principle, a question of one's ability to construct adjoint operators to the operators appearing in the initial control problem.

Keywords:

• Functional differential equations
• Boundary value problem
• Control problem

AMS:

• 34K35

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Notes

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