A linear differential game with bounded controls and two information delays | Zendy

Glizer Valery Y. | Zendy; Turetsky Vladimir | Zendy

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A linear differential game with bounded controls and two information delays

Author(s) -

Glizer Valery Y.,

Turetsky Vladimir

Publication year - 2008

Publication title -

optimal control applications and methods

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.458

H-Index - 44

eISSN - 1099-1514

pISSN - 0143-2087

DOI - 10.1002/oca.850

Subject(s) - differential game , differential (mechanical device) , bounded function , set (abstract data type) , acceleration , control theory (sociology) , computer science , interception , mathematics , mathematical optimization , mathematical economics , control (management) , engineering , physics , mathematical analysis , artificial intelligence , ecology , classical mechanics , biology , programming language , aerospace engineering

The problem of intercepting a maneuvering target by a guided interceptor is considered. It is assumed that the interceptor gets the information on the relative velocity and the target lateral acceleration with time delays. This problem is formulated as a zero‐sum differential game with information delays. By using the uncertainty set concept, this differential game is transformed to a new perfect information differential game with a delayed dynamics. The solution of this game is derived, yielding the interception strategy. Illustrative examples are presented. Copyright © 2008 John Wiley & Sons, Ltd.

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