## Stabilization and decay of functionals for linear parabolic control systems.(English)Zbl 1141.93051

Summary: We construct a specific feedback control scheme for a class of linear parabolic systems such that some nontrivial linear functionals of the state decay faster than the state, while the state is stabilized. In particular, we raise a new question of pole allocation which is subject to constraint, and derive a necessary and sufficient condition: an essential extension of the well known result by W. M. Wonham (1967).

### MSC:

 93D15 Stabilization of systems by feedback 35B35 Stability in context of PDEs 93B52 Feedback control 93C05 Linear systems in control theory
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### References:

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