非均质极性电介质扩散漂移充电模型的乘法控制问题

Pub Date : 2024-09-11 DOI:10.1134/s0012266124050069

R. V. Brizitskii, N. N. Maksimova

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引用次数: 0

摘要

摘要我们研究了不均匀极性电介质电子诱导充电模型的双参数乘法控制问题。推导了边界值问题的成本函数和给定函数的小扰动下最优解的尖锐局部稳定性估计。对于其中一个控制，建立了中继特性或砰砰原理。

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Multiplicative Control Problems for the Diffusion–Drift Charging Model of an Inhomogeneous Polar Dielectric

Abstract

We study a two-parameter multiplicative control problem for a model of electron-induced charging of an inhomogeneous polar dielectric. Sharp local stability estimates for its optimal solutions with respect to small perturbations of both the cost functionals and the given function of the boundary value problem are derived. For one of the controls, the relay property or the bang–bang principle is established.

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