An unbounded stabilization problem of bilinear systems. (English) Zbl 1533.93588
Summary: In this paper, we propose a family of feedback controls that guarantee the strong stabilization of unbounded parabolic bilinear systems, where the operator of control is supposed unbounded in the sense that it is bounded from the state space into some extension. An explicit decay estimate is established. An illustrating example is given.
MSC:
| 93D15 | Stabilization of systems by feedback |
| 93B52 | Feedback control |
| 93C20 | Control/observation systems governed by partial differential equations |
Keywords:
unbounded bilinear system; feedback control; strong stabilization; decay estimate; admissibilityReferences:
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