Optimality conditions for infinite order distributed parabolic systems with multiple time delays given in integral form. (English) Zbl 1252.49031

Bahaa, G. M.

J. Appl. Math. 2012, Article ID 672947, 25 p. (2012).

Summary: The optimal boundary control problem for \((n \times n)\) infinite order distributed parabolic systems with multiple time delays given in the integral form both in the state equations and in the Neumann boundary conditions is considered. Constraints on the controls are imposed. Necessary and sufficient optimality conditions for the Neumann problem with a quadratic performance functional are derived.

MSC:

49K20	Optimality conditions for problems involving partial differential equations
35K41	Higher-order parabolic systems

Keywords:

optimal boundary control problem; infinite order distributed parabolic systems; multiple time delays; Neumann boundary conditions

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