1989•Bulletin of the Australian Mathematical SocietyOpen access

An existence theorem for an optimal control problem in banach spaces

Evgenios P. Avgerinos, Nikolaos S. Papageorgiou

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Abstract

In this paper we prove the existence of an optimal admissible state-control pair for a nonlinear distributed parameter system, with control constraints of feedback type and with an integral cost criterion. An example is also worked in detail.

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In this paper we prove the existence of an optimal admissible state-control pair for a nonlinear distributed parameter system, with control constraints of feedback type and with an integral cost criterion. An example is also worked in detail.

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Available abstract

In this paper we prove the existence of an optimal admissible state-control pair for a nonlinear distributed parameter system, with control constraints of feedback type and with an integral cost criterion. An example is also worked in detail.

Key concepts: Mathematics, Banach space, Optimal control, Nonlinear system, State (computer science), Control (management), Pure mathematics, Type (biology)

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