On the Theory of Positional Differential Games for Neutral-Type Systems

• Published in: Proceedings of the Steklov Institute of Mathematics Vol. 309; no. Suppl 1; pp. S83 - S92
• Main Authors: Lukoyanov, N. Yu, Plaksin, A. R.
• Format: Journal Article Conference Proceeding
• Language: English
• Published: Moscow Pleiades Publishing 01.08.2020; Springer Nature B.V
• Subjects: Differential equations; Differential games; Game theory; Geometric constraints; Mathematics; Mathematics and Statistics; Minimax technique; Saddle points; control theory; neutral-type systems; differential games

For a dynamical system whose motion is described by neutral-type differential equations in Hale’s form, we consider a minimax–maximin differential game with a quality index evaluating the motion history realized up to the terminal time. The control actions of the players are subject to geometric con...