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• W2291861503 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." @default.
• W2291861503 created "2016-06-24" @default.
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• W2291861503 creator A5051820869 @default.
• W2291861503 date "2015-12-01" @default.
• W2291861503 modified "2023-09-26" @default.
• W2291861503 title "Exact observability of semilinear multidimensional wave equations: An LMI approach" @default.
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• W2291861503 doi "https://doi.org/10.1109/cdc.2015.7402593" @default.
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