On equilibrium in control problems with applications to evolution systems

Abstract

In this paper we examine a mutual control problem for systems of two abstract evolution equations subject to a proportionality final condition. Related observability and semi-observability problems are discussed. The analysis employs a vector fixed-point approach, using matrices rather than constants, and applies the technique of Bielecki equivalent norms.

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Radu Precup
Department of Mathematics Babes-Bolyai University, Cluj-Napoca, Romania

Department of Mathematics Babeş-Bolyai University, Cluj-Napoca, Romania

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R. Precup, A. Stan, On equilibrium in control problems with applications to evolution systems, arXiv:2409.09805, 2024.

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Arxiv

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