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On equilibrium in control problems with applications to evolution systems (2409.09805v1)
Published 15 Sep 2024 in math.AP
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.