A Mutual Control Problem for Semilinear Systems via Fixed Point Approach

7 months ago

(original), (preprint), Fixed point theory, Nonlinear analysis, paper

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.

Authors

Radu Precup
Faculty of Mathematics and Computer Science and Institute of Advanced Studies in Science and Technology, Babes-Bolyai University, Cluj-Napoca, Romania
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, Cluj-Napoca, Romania

Andrei Stan
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, Cluj-Napoca, Romania

Keywords

control; fixed point; nonlinear operator; differential system

Paper coordinates

R. Precup, A. Stan, A mutual control problem for semilinear system via fixed point approach, arXiv:2407.21131, 2024.

PDF

https://arxiv.org/pdf/2407.21131

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DOI

https://arxiv.org/pdf/2407.21131

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