Title: Controllability of block diagonal systems and applications

Authors: Hanzel Larez, Hugo Leiva, Jahnett Uzcategui

Addresses: Departamento de Matematicas, Universidad de Los Andes, Merida 5101, Venezuela. ' Departamento de Matematicas, Universidad de Los Andes, Merida 5101, Venezuela. ' Departamento de Matematicas, Universidad de Los Andes, Merida 5101, Venezuela

Abstract: In this paper we present necessary a sufficient conditions for the exact and approximate controllability of Block-Diagonal Control Systems representing a broad class of linear evolution equations in Hilbert spaces. We apply these results to the controlled nD wave equation, heat equation and thermoelastic plate equation.

Keywords: block diagonal systems; controllability; strongly continuous semigrous; applications; block diagonal control; linear evolution equations; Hilbert spaces; nD wave equations; nD heat equations; thermoelastic plate equations.

DOI: 10.1504/IJSCC.2011.039252

International Journal of Systems, Control and Communications, 2011 Vol.3 No.1, pp.64 - 81

Published online: 31 Mar 2015 *

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