In this paper, we introduce and discuss the concept of a mutual control problem. Our analysis relies on a vector fixed-point approach based on the fixed-point theorems of Perov, Schauder, Leray-Schauder, and Avramescu. Additionally, for a related semi-observability problem, we employ a novel technique utilizing Bielecki equivalent norms.
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Precup et al. (2024) studied this question.
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