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arXiv · 2407.21131

A mutual control problem for semilinear system via fixed point approach

Radu Precup·Andrei Stan
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Abstract

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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Radu Precup, Andrei Stan. 2024-07-30. A mutual control problem for semilinear system via fixed point approach. https://arxiv.org/abs/2407.21131

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