The Value and Optimal Strategies in a Positional Differential Game for a Neutral-Type System

• Published in: Proceedings of the Steklov Institute of Mathematics Vol. 327; no. Suppl 1; pp. S112 - S123
• Main Authors: Gomoyunov, M. I., Lukoyanov, N. Yu
• Format: Journal Article Conference Proceeding
• Language: English
• Published: Moscow Pleiades Publishing 01.12.2024; Springer Nature B.V
• Subjects: Closed loops; Differential equations; Differential games; Dynamical systems; Feedback control; Hamilton-Jacobi equation; Mathematics; Mathematics and Statistics; Minimax technique; Saddle points; game value; optimal strategies; neutral-type equation; path-dependent Hamilton–Jacobi equation; coinvariant derivatives; minimax solution; differential game

On a finite time interval, a differential game for the minimax–maximin of a given cost functional is considered. In this game, the motion of a conflict-controlled dynamical system is described by functional differential equations of neutral type in Hale’s form. Under assumptions more general than th...