Pursuit-evasion differential games with uncertainties in dynamics
type: Item
instance of: scholarly article
title: Pursuit-evasion differential games with uncertainties in dynamics
zbMATH Open document ID: 0632.90108
DOI: 10.1016/0898-1221(87)90091-5
author: E. A. Galperin
author: J. M. Skowronski
publication date: 1987-01-01T00:00:00Z
review text: The authors consider pursuit-evasion control problems with bounded uncertainties in dynamics. They define notions of guaranteed results (``values'') in these problems with integral cost functionals. The corresponding Isaacs equations are presented. Smooth V-functions with special properties are introduced. They are utilized to determine stragegies assuring the capture for any realization of uncertainties with the help of construction like the well-known Lyapunov method. As an illustrative example a problem of the capture for an oscillator type linear control system is considered.
Mathematics Subject Classification ID: 91A24
Mathematics Subject Classification ID: 91A23
Mathematics Subject Classification ID: 91A99
zbMATH DE Number: 4029321
zbMATH Keywords: feedback strategy
zbMATH Keywords: contingent equation
zbMATH Keywords: differential inclusion
zbMATH Keywords: level function
zbMATH Keywords: total derivative
zbMATH Keywords: pursuit-evasion control problems
zbMATH Keywords: bounded uncertainties in dynamics
zbMATH Keywords: guaranteed results
zbMATH Keywords: Isaacs equations
zbMATH Keywords: oscillator type linear control system
MaRDI profile type: Publication
full work available at URL: 0898-1221(87)90091-5
OpenAlex ID: W1984312855
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published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 4029321