Linear pursuit-and-evasion games with impulse evader control
type: Item
instance of: scholarly article
title: Linear pursuit-and-evasion games with impulse evader control
zbMATH Open document ID: 0849.90143
DOI: 10.1007/BF02366413
author: V. V. Ostapenko
author: O. M. Timoshenko
published in: Cybernetics and Systems Analysis
publication date: 1996-08-25T00:00:00Z
review text: We develop a new formulation in which the pursuer uses an ordinary control while the evader uses an impulse control. This approach models dynamic system control that allows strong noise or failures producing discontinuous paths. We also consider cases with different timing of the impulse noise and develop sufficiently constructive strategies for both the pursuer and the evader. Unlike games in \(\varepsilon\)-strategies, our game assumes that the pursuer has information only about the current evader control. Since the evader applies impulse control with certain intervals between impulses, these problems are solved using the approaches originally developed for \(\varepsilon\)-strategies.
Mathematics Subject Classification ID: 91A24
Mathematics Subject Classification ID: 91A23
zbMATH DE Number: 907258
zbMATH Keywords: impulse control
zbMATH Keywords: strong noise
zbMATH Keywords: failures producing discontinuous paths
MaRDI profile type: Publication
cites work: Monotone iterations of sets and their applications to control games
full work available at URL: https://doi.org/10.1007/bf02366413
OpenAlex ID: W2038808971
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description: scientific article; zbMATH DE number 907258