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An Algebraic Method in the Zero-Sum Differential Game Problem
DOI:10.1016/j.ifacol.2025.11.093.png)
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
IF:
0
Papers:
985
Citations:
0

