Nonlinear differential game with on-line identified opposition
type: Item
instance of: scholarly article
title: Nonlinear differential game with on-line identified opposition
zbMATH Open document ID: 0593.90096
DOI: 10.1016/0020-7462(86)90015-6
author: J. M. Skowronski
published in: International Journal of Non-Linear Mechanics
publication date: 1986-01-01T00:00:00Z
review text: The Lyapunov design technique and the theory of adaptive identifiers are used to provide the deterministic on-line state (feedback) information and the information on the opponent's control to each of the players in a competitive two-person zero-sum non-linearizable differential game. To this aim the identifier theory is extended to the case of time-varying parameters, and a new approach without the standard ''error-equation'' is adopted to handle the non-linearity. The information provided is of prescribed accuracy and obtainable in prescribed time. The identifiers constructed allow to obtain the standard objectives: playability for collision with a target, possibly (permanent) capture there, avoidance of an anti-target and min-max of a given cost functional. The Luenberger type observers for a linear game follow as a particular case. The method is also illustrated by an example.
Mathematics Subject Classification ID: 91A23
Mathematics Subject Classification ID: 91A99
Mathematics Subject Classification ID: 49K35
zbMATH DE Number: 3954691
zbMATH Keywords: Lyapunov design technique
zbMATH Keywords: adaptive identifiers
zbMATH Keywords: competitive two-person zero-sum non-linearizable differential
zbMATH Keywords: game
zbMATH Keywords: Luenberger type observers
zbMATH Keywords: linear game
zbMATH Keywords: competitive two-person zero-sum non-linearizable differential game
MaRDI profile type: Publication
full work available at URL: 0020-7462(86)90015-6
OpenAlex ID: W1968517431
description: scientific article; zbMATH DE number 3954691