Differential Games in Fractional-Order Systems: Inequalities for Directional Derivatives of the Value Functional
Informatics and Automation, Optimal Control and Differential Games, Tome 315 (2021), pp. 74-94
Voir la notice de l'article provenant de la source Math-Net.Ru
For a dynamical system described by differential equations with Caputo fractional derivatives of order $\alpha \in (0,1)$, we consider a minimax–maximin differential game with a performance index that estimates the motion of the system on a fixed finite time interval. We obtain differential inequalities that characterize the value functional of the game in terms of appropriate directional derivatives.
@article{TRSPY_2021_315_a5,
author = {M. I. Gomoyunov and N. Yu. Lukoyanov},
title = {Differential {Games} in {Fractional-Order} {Systems:} {Inequalities} for {Directional} {Derivatives} of the {Value} {Functional}},
journal = {Informatics and Automation},
pages = {74--94},
publisher = {mathdoc},
volume = {315},
year = {2021},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TRSPY_2021_315_a5/}
}
TY - JOUR AU - M. I. Gomoyunov AU - N. Yu. Lukoyanov TI - Differential Games in Fractional-Order Systems: Inequalities for Directional Derivatives of the Value Functional JO - Informatics and Automation PY - 2021 SP - 74 EP - 94 VL - 315 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TRSPY_2021_315_a5/ LA - ru ID - TRSPY_2021_315_a5 ER -
%0 Journal Article %A M. I. Gomoyunov %A N. Yu. Lukoyanov %T Differential Games in Fractional-Order Systems: Inequalities for Directional Derivatives of the Value Functional %J Informatics and Automation %D 2021 %P 74-94 %V 315 %I mathdoc %U http://geodesic.mathdoc.fr/item/TRSPY_2021_315_a5/ %G ru %F TRSPY_2021_315_a5
M. I. Gomoyunov; N. Yu. Lukoyanov. Differential Games in Fractional-Order Systems: Inequalities for Directional Derivatives of the Value Functional. Informatics and Automation, Optimal Control and Differential Games, Tome 315 (2021), pp. 74-94. http://geodesic.mathdoc.fr/item/TRSPY_2021_315_a5/