Non-linear differential game with on-line identified opposition

Skowronski J.M. (1986) Non-linear differential game with on-line identified opposition. International Journal of Non-Linear Mechanics, 21 1: 83-96. doi:10.1016/0020-7462(86)90015-6


Author Skowronski J.M.
Title Non-linear differential game with on-line identified opposition
Journal name International Journal of Non-Linear Mechanics   Check publisher's open access policy
ISSN 0020-7462
Publication date 1986-01-01
Sub-type Article (original research)
DOI 10.1016/0020-7462(86)90015-6
Open Access Status Not yet assessed
Volume 21
Issue 1
Start page 83
End page 96
Total pages 14
Subject 2210 Mechanical Engineering
3109 Statistical and Nonlinear Physics
2200 Engineering
Abstract The Liapunov 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 the 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 attain 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 illustrated by an example.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
Collection: Scopus Import - Archived
 
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