Pursuit Game for an Infinite System of First-Order Differential Equations with Negative Coefficients
Optimization and Control
2020-02-19 v1 Dynamical Systems
Abstract
In this paper we study a linear pursuit differential game described by an infinite system of first-order differential equations in Hilbert space. The control functions of players are subject to geometric constraints. The pursuer attempts to bring the system from a given initial state to the origin for a finite time and the evader's purpose is opposite. We obtain a guaranteed pursuit time and construct a strategy for pursuer.
Keywords
Cite
@article{arxiv.2002.07416,
title = {Pursuit Game for an Infinite System of First-Order Differential Equations with Negative Coefficients},
author = {Gafurjan Ibragimov and Massimiliano Ferrara and Idham Arif Alias and Mehdi Salimi},
journal= {arXiv preprint arXiv:2002.07416},
year = {2020}
}