Sergei Avdonin, Julian Edward, Yuanyuan Zhao
Published 2022-10-07Version 1
Exact controllability is proven on a graph with cycle. The controls can be a mix of controls applied at the boundary and interior vertices. The method of proof first uses a dynamical argument to prove shape controllability and velocity controllability, thereby solving their associated moment problems. This enables one to solve the moment problem associated to exact controllability. In the case of a single control, either boundary or interior, it is shown that exact controllability fails.
Infinite-time observability of the wave equation with time-varying observation domains under a geodesic recurrence condition
Tracking controllability of heat and wave equations
Exact controllability for wave equation on general quantum graphs with non-smooth controls
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