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An Algebraic Method in the Zero-Sum Differential Game Problem

delete2025-11-01
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PRE
AI
V
V. N. Afanasiev *
I
I.A. Garazha
DOI:10.1016/j.ifacol.2025.11.093delete
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Abstract

Abstract

En 中文
The problem of a zero-sum differential stabilization game with a quadratic cost functional is considered. A control system subject to uncontrolled disturbances is described by a nonlinear ordinary differential equation. The synthesis of optimal feedback controls leads to solving the Bellman-Isaacs scalar partial differential equation in real-time. An algebraic method is proposed for solving this equation. The results of simulating a zero-sum differential game for a technical control system are presented. Copyright (c) 2025 The Authors.
Keywords:
differential games
optimal control
Bellman-Isaacs equation
pseudo-inverse matrices

Journal

I
IFAC Papers Online
IF:
0
Papers:
985
Citations:
0

Organization

R
Russian Academy of Sciences
Scholars:
6.9K
Papers: 2.6K
Citations: 1.3W
Cited Papers

Cited Papers

Control design with guaranteed ultimate bound for feedback linearizable systems
err2008-01-01
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errOAAI
errErnesto Kofman; Fernando Fontenla; Hernan Haimovich; María M. Seron
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