Exact Controllability of a Semilinear Thermoelastic System with Control Solely in Thermal Equation

Author: Tomar Nutan Kumar   Sukavanam N.  

Publisher: Taylor & Francis Ltd

ISSN: 0163-0563

Source: Numerical Functional Analysis and Optimization, Vol.29, Iss.9-10, 2008-09, pp. : 1171-1179

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Abstract

A result concerning the exact controllability of a semilinear thermoelastic system, in which the control term occurs solely in the thermal equation, is derived under the influence of rotational inertia and Lipschitz nonlinearity, subject to the clamped/Dirichlet boundary conditions. In the proof, we make use of the result given by Avalos (Differential and Integral Equations, 2000; 13(4-6):613-630), which states that the corresponding linear system is exact controllable.