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Exact controllability of wave equations with variable coefficients coupled in parallel
Author(s) -
Wu Jieqiong,
Li Shengjia,
Chai Shugen
Publication year - 2010
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.179
Subject(s) - controllability , variable (mathematics) , mathematics , mathematical analysis , wave equation , control theory (sociology) , physics , computer science , control (management) , artificial intelligence
In this paper, we investigate exact controllability for coupled wave equations which have variable coefficients principal part. Observability inequality is obtained by using Riemannian geometry method and Carleman estimates. Furthermore, the exact controllability result is established with Dirichlet boundary controls when T > T 0 , where the lower bound T 0 for the control time T is different from that obtained in the constant coefficient principal part case. Copyright © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society