The Value Function of a Differential Game with Simple Motions and an Integro –Terminal Payoff Functional

Shagalova, L. G.

doi:10.1016/j.ifacol.2018.11.437

Please use this identifier to cite or link to this item: http://elar.urfu.ru/handle/10995/92216

Title:	The Value Function of a Differential Game with Simple Motions and an Integro –Terminal Payoff Functional
Authors:	Shagalova, L. G.
Issue Date:	2018
Publisher:	Elsevier B.V.
Citation:	Shagalova L. G. The Value Function of a Differential Game with Simple Motions and an Integro –Terminal Payoff Functional / L. G. Shagalova. — DOI 10.1016/j.ifacol.2018.11.437 // IFAC-PapersOnLine. — 2018. — Vol. 32. — Iss. 51. — P. 861-865.
Abstract:	An antagonistic positional differential game of two persons is considered. The dynamics of the system is described by a differential equation with simple motions, and the payoff functional is integro - terminal. For the case when the terminal function and the Hamiltonian are piecewise linear, and the dimension of the state space is two, a finite algorithm for the exact construction of the value function is proposed. © 2018
Keywords:	ALGORITHMS DIFFERENTIAL EQUATIONS DIFFERENTIAL GAMES FEEDBACK CONTROL OPTIMAL CONTROL PIECEWISE LINEAR ANALYSIS VALUE FUNCTION ALGORITHMS DIFFERENTIAL EQUATIONS EQUATIONS OF MOTION FEEDBACK CONTROL GAME THEORY PIECEWISE LINEAR TECHNIQUES DIFFERENTIAL GAMES FINITE ALGORITHM OPTIMAL CONTROLS PIECEWISE LINEAR TERMINAL FUNCTIONS VALUE FUNCTIONS HAMILTONIANS
URI:	http://elar.urfu.ru/handle/10995/92216
Access:	info:eu-repo/semantics/openAccess
SCOPUS ID:	85058232224
WOS ID:	000453278300161
PURE ID:	8414122
ISSN:	2405-8963
DOI:	10.1016/j.ifacol.2018.11.437
Sponsorship:	17-01-00074 The work is supported by Russin Foundation for Basic Research (project 17-01-00074).
Appears in Collections:	Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC

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