Exact controllability of a semilinear thermoelastic system with control solely in thermal equation. (English) Zbl 1151.93007
Summary: 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 G. Avalos [Differ. Integral Equ. 13, No. 4–6, 613–630 (2000; Zbl 0970.93002)], which states that the corresponding linear system is exact controllable.
MSC:
| 93B05 | Controllability |
| 93C20 | Control/observation systems governed by partial differential equations |
| 35B37 | PDE in connection with control problems (MSC2000) |
| 35K35 | Initial-boundary value problems for higher-order parabolic equations |
Citations:
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