双曲型问题的精确边值可控性

1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes Pub Date : 1900-01-01 DOI:10.1109/CDC.1978.267936

J. Lagnese

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引用次数: 0

摘要

可以用某些线性双曲偏微分方程建模的控制过程被考虑，目的是识别那些可以在有限时间内通过施加在过程发展区域边界上的控制力精确控制到指定状态的过程。根据建模方程基本解的渐近行为确定了一类可能实现这种控制的过程，并且证明了最优控制时间不大于¿的直径。

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Exact boundary value controllability in hyperbolic problems

Control processes which can be modeled by certain linear hyperbolic, partial differential equations are considered with the purpose of identifying those which can be exactly controlled to a specified state in some finite time by control forces applied on the boundary of the region ¿ in which the process evolves. A class of processes for which such control is possible is determined in terms of asymptotic behavior of the fundamental solution of the modeling equation, and the optimal control time is shown to be no greater than the diameter of ¿.

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1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes

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