Control norms for large control times
Control Norms for Large Control Times
A control system of the second order in time with control is considered. If the system is controllable in a strong sense and is the control steering the system to the rest at time , then the –norm of decreases as while the –norm of is approximately constant. The proof is based on the moment approach and properties of the relevant exponential family. Results are applied to the wave equation with boundary or distributed controls.
On aspherical presentations of groups.
On the Burnside problem for groups of even exponent.
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