@inproceedings{14e9c8e3aa2e4391a1f05beea101b8f1,
title = "Exact observability of semilinear multidimensional wave equations: An LMI approach",
abstract = "The problem of estimating the initial state of 1-D wave equations with globally Lipschitz nonlinearities from boundary measurements on a finite interval was solved recently by using the sequence of forward and backward observers, and deriving the upper bound for exact observability time in terms of Linear Matrix Inequalities (LMIs) [7]. In the present paper, we generalize this result to n-D wave equations on a hypercube. This extension includes new LMI-based exponential stability conditions for n-D wave equations, as well as an upper bound on the minimum exact observability time in terms of LMIs. The efficiency of the results is illustrated by a numerical example.",
keywords = "Distributed parameter systems, LMIs, Lyapunov method, exact observablity, wave equations",
author = "Emilia Fridman and Maria Terushkin",
note = "Publisher Copyright: {\textcopyright} 2015 IEEE.; 54th IEEE Conference on Decision and Control, CDC 2015 ; Conference date: 15-12-2015 Through 18-12-2015",
year = "2015",
month = feb,
day = "8",
doi = "10.1109/CDC.2015.7402593",
language = "الإنجليزيّة",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "2507--2512",
booktitle = "54rd IEEE Conference on Decision and Control,CDC 2015",
address = "الولايات المتّحدة",
}