We study the stability of weakly coupled and partially damped systems by means of the Riesz basis approach in higher dimensional spaces. We propose a weaker structural damping that compensates for the behavior of the eigenvalues of the system, therefore giving the optimal polynomial energy decay rate for smooth initial data. © 2006 Society for Industrial and Applied Mathematics.
Optimal energy decay rate for partially damped systems by spectral compensation / Loreti, Paola; Bopeng, Rao. - In: SIAM JOURNAL ON CONTROL AND OPTIMIZATION. - ISSN 0363-0129. - STAMPA. - 45:5(2006), pp. 1612-1632. [10.1137/s0363012903437319]
Optimal energy decay rate for partially damped systems by spectral compensation
LORETI, Paola;
2006
Abstract
We study the stability of weakly coupled and partially damped systems by means of the Riesz basis approach in higher dimensional spaces. We propose a weaker structural damping that compensates for the behavior of the eigenvalues of the system, therefore giving the optimal polynomial energy decay rate for smooth initial data. © 2006 Society for Industrial and Applied Mathematics.File allegati a questo prodotto
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