A Differential Game of Evasion with Nonlinear Control

descriptionPublicationkeyboard_double_arrow_right Article 01 May 1974 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Control, volume 12, pages 332-349 (issn: 0036-1402,

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Authors: Gamkrelidze, R. V.; Kharatishvili, G. L.;

doi: 10.1137/0312026

A Differential Game of Evasion with Nonlinear Control

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Abstract

A differential game of evasion in which the state is governed by an nth order differential equation is studied. The equation is linear in the state and its derivatives. Control is exercised through a nonlinear forcing term. A sufficient condition for evasion is given and the evasion strategy is obtained as a generalized solution of a Volterra integral equation. The generalized solution is approximated by ordinary measurable functions by constructing a sliding regime.

Keywords

Differential games (aspects of game theory), Control/observation systems governed by ordinary differential equations

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