Discontinuous Solutions in the Optimal Control Problems and Their Representation by Singular Space-Time Transformations

B. M. Miller; E. Ya. Rubinovich

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Discontinuous Solutions in the Optimal Control Problems and Their Representation by Singular Space-Time Transformations

机译：最优控制问题的非连续解及其奇异时空变换表示

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Consideration was given to the problems of variational calculus and optimal control admitting impulsive controls and, correspondingly, discontinuous solutions. The evolution of the notion of singular space-time transformation beginning from the problem of classical variational calculus and ending with the problems of optimal control at the phase of impact was shown.

机译：考虑了变分演算和允许脉冲控制的最优控制以及相应的不连续解的问题。奇异时空变换概念的演化从经典变分演算问题开始，到撞击阶段的最优控制问题结束。

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《Automation and Remote Control》 |2013年第12期|共38页
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B. M. Miller; E. Ya. Rubinovich;
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1. Discontinuous Solutions in the Optimal Control Problems and Their Representation by Singular Space-Time Transformations [J] . B. M. Miller, E. Ya. Rubinovich Automation and Remote Control . 2013,第12期

机译：最优控制问题的非连续解及其奇异时空变换表示
2. The Local Representation Formula of Solution for the Perturbed Controlled Differential Equation with Delay and Discontinuous Initial Condition [J] . A. Nachaoui, T. Shavadze, T. Tadumadze Mathematics . 2020,第10期

机译：具有延迟和不连续初始条件的扰动控制微分方程解决方案的局部表示公式
3. Approximations of optimal control problems for semilinear elliptic equations with discontinuous coefficients and solutions and with control in matching boundary conditions [J] . Lubyshev F. V., Manapova A. R., Fairuzov M. E. Computational mathematics and mathematical physics . 2014,第11期

机译：具有不连续系数和解且具有匹配边界条件下的控制的半线性椭圆型方程的最优控制问题的逼近
4. Dynamical systems with controllable singularities: multi-scale and limit representations and optimal control [C] . Bentsman, J., Miller, . 2001

机译：具有可控奇点的动力学系统：多尺度和极限表示以及最优控制
5. A stochastic representation problem with applications in optimal singular control, Dynkin games, and obstacle problems. [D] . Zhou, Yun. 2009

机译：随机表示问题及其在最佳奇异控制，Dynkin游戏和障碍问题中的应用。
6. Error Bounds for Discontinuous Finite Volume Discretisations of Brinkman Optimal Control Problems [O] . S. Kumar, R. Ruiz-Baier, R. Sandilya -1

机译：Brinkman最优控制问题的不连续有限体积离散化的误差界
7. Space-Time Discontinuous Galerkin Solution of Convection Dominated Optimal Control Problems [O] . Akman, Tuğba, Karasözen, Bülent 2013

机译：对流占优的时空间断Galerkin解最优控制问题

Discontinuous Solutions in the Optimal Control Problems and Their Representation by Singular Space-Time Transformations

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