Exact Control of a Distributed System Described by the Wave Equation with Integral Memory

被引：0
|
作者：
Romanov I.V. [1 ]
Shamaev A.S. [2 ]
机构：
[1] National Research University Higher School of Economics, 20, Myasnitskaya St, Moscow
[2] Ishlinsky Institute for Problems in Mechanics RAS, 101-1, pr. Vernadskogo, Moscow
来源：
Journal of Mathematical Sciences | 2022年 / 262卷 / 3期
关键词：
D O I：
10.1007/s10958-022-05821-z
中图分类号：
学科分类号：
摘要：
We consider the distributed control problem for the wave equation with memory, where the kernel is the sum of decreasing exponential functions and the control is bounded in modulus. We prove that the oscillations of the system can be brought to the state of rest in a finite time. © 2022, Springer Science+Business Media, LLC, part of Springer Nature.
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页码：358 / 373
页数：15
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