APPROXIMATION OF OPTIMAL CONTROL PROBLEMS FOR DELAYED EQUATIONS

Falcone M.; Rosace R.

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APPROXIMATION OF OPTIMAL CONTROL PROBLEMS FOR DELAYED EQUATIONS

机译：延迟方程的最优控制问题的逼近

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We deal with the infinite horizon optimal control problem for a system of delayed differential equations focussing our attention on its numerical approximation. Dynamic programming is used to get an approximation scheme based on the time discretization of the dynamics and of the pay-off. We prove that the resulting time-discrete approximation scheme converges to the value function of the continuous problem with rate 1. [References: 12]

机译：我们处理一类时滞微分方程系统的无限层最优控制问题，将注意力集中在其数值逼近上。动态编程用于根据动力学和收益的时间离散化获得近似方案。我们证明了所得的时间离散近似方案收敛于速率为1的连续问题的值函数。[参考文献：12]

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《Zeitschrift fur Angewandte Mathematik und Mechanik》 |1996年第s2期|共4页
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Falcone M.; Rosace R.;
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正文语种 eng
中图分类应用数学;
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1. APPROXIMATION OF OPTIMAL CONTROL PROBLEMS FOR DELAYED EQUATIONS [J] . Falcone M., Rosace R. Zeitschrift fur Angewandte Mathematik und Mechanik . 1996,第s2期

机译：延迟方程的最优控制问题的逼近
2. Discrete-time approximation of optimal control problems for delayed equations [J] . Maurizio Falcone, R. Rosace Control and Cybernetics . 1996,第3期

机译：时滞方程最优控制问题的离散时间逼近
3. Optimal Control for the Navier-Stokes Equation with Time Delay in the Convection: Analysis and Finite Element Approximations [J] . G. Peralta, J.S. Simon Oceanographic Literature Review . 2021,第6期

机译：对流时延迟的Navier-Stokes方程的最佳控制：分析和有限元近似
4. One approximation in the optimal stabilization problem for the system of periodic delayed differential equations [C] . R. I. Shevchenko International Conference on Stability and Oscillations of Nonlinear Control Systems . 2020

机译：周期时滞微分方程系统最优镇定问题的一种逼近。
5. Analysis and approximations of terminal-state tracking optimal control problems and controllability problems constrained by linear and semilinear parabolic partial differential equations. [D] . Kwon, Hee-Dae. 2003

机译：线性和半线性抛物型偏微分方程约束的终端状态跟踪最优控制问题和可控制性问题的分析和逼近。
6. A Novel Scheme for Optimal Control of a Nonlinear Delay Differential Equations Model to Determine Effective and Optimal Administrating Chemotherapy Agents in Breast Cancer [O] . HR Ramezanpour, S Setayeshi, ME Akbari 2011

机译：一种确定非线性延迟微分方程模型的最优控制方案以确定乳腺癌中有效有效的化学治疗药物
7. HJB Equations for the Optimal Control of Differential Equations with Delays and State Constraints, II: Optimal Feedbacks and Approximations [O] . Federico, Salvatore, Goldys, Ben, Gozzi, Fausto 2009

机译：具有时滞的微分方程最优控制的HJB方程延迟和状态约束，II：最佳反馈和近似
8. Approximation Schemes for the Linear-Quadratic Optimal Control Problem Associated with Delay-Equations [R] . Kunisch, K. 1980

机译：与时滞方程相关的线性二次型最优控制问题的逼近格式

APPROXIMATION OF OPTIMAL CONTROL PROBLEMS FOR DELAYED EQUATIONS

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