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Inequalities for Subgradients of a Value Functional in Differential Games for Time-Delay Systems
Doklady Mathematics ( IF 0.5 ) Pub Date : 2020-01-01 , DOI: 10.1134/s1064562420010238 N. Yu. Lukoyanov , A. R. Plaksin
Doklady Mathematics ( IF 0.5 ) Pub Date : 2020-01-01 , DOI: 10.1134/s1064562420010238 N. Yu. Lukoyanov , A. R. Plaksin
Abstract A two-person zero-sum positional differential game is considered in which the motion of a dynamical system is described by a nonlinear delay equation and the initial motion history is determined by a piecewise continuous function. Inequalities for directional derivatives of the value functional and inequalities for its sub- and supergradients are obtained.
中文翻译:
时滞系统微分博弈中值泛函的次梯度的不等式
摘要 考虑一个二人零和位置微分博弈,其中动力系统的运动由非线性延迟方程描述,初始运动历史由分段连续函数确定。获得了值泛函的方向导数的不等式和其次梯度和超梯度的不等式。
更新日期:2020-01-01
中文翻译:
时滞系统微分博弈中值泛函的次梯度的不等式
摘要 考虑一个二人零和位置微分博弈,其中动力系统的运动由非线性延迟方程描述,初始运动历史由分段连续函数确定。获得了值泛函的方向导数的不等式和其次梯度和超梯度的不等式。