Small-Time Extinction with Decay Estimate of Bilinear Systems on Hilbert Space
Tóm tắt
This paper considers the stabilization problem of bilinear systems in small time by various feedback laws. Then, under some reasonable assumptions on the system and control operator, we prove the global polynomial stabilization of the bilinear system, at hand, in a small time by unbounded feedback. A decay rate of the stabilized state is explicitly estimated. Moreover, we use an observability condition to prove a partial stabilization in a prescribed time by time-varying feedback. Examples of heat, transport and wave equations are revisited.
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