Abstract
In this paper, we examine the controllability problem of a distributed system governed by the two-dimensional Gurtin–Pipkin equation. We consider a system with compactly supported distributed control and show that if the memory kernel is a twice continuously differentiable function, such that its Laplace transformation has at least one root, then the system cannot be driven to equilibrium in finite time.
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Communicated by Felix L. Chernousko.
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Romanov, I., Shamaev, A. Noncontrollability to Rest of the Two-Dimensional Distributed System Governed by the Integrodifferential Equation. J Optim Theory Appl 170, 772–782 (2016). https://doi.org/10.1007/s10957-016-0945-7
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DOI: https://doi.org/10.1007/s10957-016-0945-7