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math.AP2016
Exact Bounded Boundary Controllability to Rest for the Two-Dimensional Wave Equation
Igor Romanov, Alexey Shamaev
The problem of the exact bounded control of oscillations of the two-dimensional wave equation is considered. Control force is applied to the boundary of the membrane, which is loca…
math.AP2015★ 1 cited
Exact Controllability of the Distributed System Governed by the Wave Equation with Memory
Igor Romanov, Alexey Shamaev
We will consider exact controllability of the distributed system governed by the wave equation with memory. It will be proved that this mechanical system can be driven to rest in f…
math.AP2014
Non Controllability to Rest of the Two-Dimensional Distributed System Governed by the Integrodifferential Equation
Igor Romanov, Alexey Shamaev
The paper deals with controllability problem for a distributed system governed by the two-dimensional Gurtin-Pipkin equation. We consider a system with compactly supported distribu…