Numerical algorithms for solving optimal control problems with integro-differential equations of the second kind as constraints

Shihchung Chiang, T. Herdman
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Abstract

This study presents numerical algorithms for solving optimal control problems with a class of integro-differential equations of the second kind as costraints. This class of equations consists of an integro-differential term containing an Abeltype kernel. The first kind equations, with a weakly singular kernel, investigated here appear in the mathematical model of an aeroelasticity problem [1]. Two controls are considered in this study: delay and stochastic. The feasibility of the proposed numerical algorithm is demonstrated with examples in which the costs are compared with deterministic optimal controls without time lag.
求解以第二类积分-微分方程为约束的最优控制问题的数值算法
本文研究了一类以第二类积分微分方程为约束的最优控制问题的数值求解算法。这类方程由一个包含Abeltype核的积分微分项组成。本文研究的第一类方程具有弱奇异核,出现在气动弹性问题的数学模型中[1]。本研究考虑两种控制:延迟控制和随机控制。通过与无时滞确定性最优控制的成本比较,验证了所提数值算法的可行性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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