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Simultaneous controllability of damped wave equations
Author(s) -
Wu Jieqiong,
Zhu Xianzheng,
Li Shengjia
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4175
Subject(s) - controllability , observability , mathematics , string (physics) , wave equation , property (philosophy) , control function , function (biology) , mathematical analysis , pure mathematics , control theory (sociology) , control (management) , mathematical physics , computer science , philosophy , epistemology , artificial intelligence , evolutionary biology , biology
We study the exact controllability of q uncoupled damped string equations by means of the same control function. This property is called simultaneous controllability. An observability inequality is proved, which implies the simultaneous controllability of the system. Our results generalize the previous results on the linear wave without the dampings. Copyright © 2016 John Wiley & Sons, Ltd.