微非均匀介质中反应扩散过程的近似最优控制

Q3 Engineering Journal of Automation and Information Sciences Pub Date : 2021-01-01 DOI:10.34229/0572-2691-2021-1-2

N. V. Gorban’, Alexey V. Kapustyan, E. Kapustyan, Alexander B. Kurilko

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引用次数: 0

摘要

研究了微均匀介质中化学动力学受控过程的近似最优控制问题。这类过程是由具有形式系数的反应扩散型双线性抛物方程描述的。在具有平均系数的问题中，近似控制作为最优控制的偏好是合理的。讨论了这种控制结构的一个例子，并证明了它的有效性。

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ON APPROXIMATE OPTIMAL CONTROL FOR THE REACTION-DIFFUSION PROCESS IN MICROINHOMOGENEOUS MEDIUM

The problem of constructing an approximate optimal control for controlled processes of chemical kinetics in microinhomogeneous medium is considered. Such processes are described by semilinear parabolic equations of the reaction-diffusion type with coefficients of the form . The preference of an approximate control as the optimal control in the problem with averaged coefficients is justified. An example of the construction of such a control is discussed and its efficiency is demonstrated.

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来源期刊

Journal of Automation and Information Sciences AUTOMATION & CONTROL SYSTEMS-

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal contains translations of papers from the Russian-language bimonthly "Mezhdunarodnyi nauchno-tekhnicheskiy zhurnal "Problemy upravleniya i informatiki". Subjects covered include information sciences such as pattern recognition, forecasting, identification and evaluation of complex systems, information security, fault diagnosis and reliability. In addition, the journal also deals with such automation subjects as adaptive, stochastic and optimal control, control and identification under uncertainty, robotics, and applications of user-friendly computers in management of economic, industrial, biological, and medical systems. The Journal of Automation and Information Sciences will appeal to professionals in control systems, communications, computers, engineering in biology and medicine, instrumentation and measurement, and those interested in the social implications of technology.