Proceedings of the Japan Academy, Series A, Mathematical Sciences

Stabilization and decay of functionals for linear parabolic control systems

Takao Nambu

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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 the necessary and sufficient condition: an essential extension of the well known result by W. M. Wonham (1967).

Article information

Proc. Japan Acad. Ser. A Math. Sci., Volume 84, Number 2 (2008), 19-24.

First available in Project Euclid: 4 February 2008

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 93D15: Stabilization of systems by feedback
Secondary: 35B35: Stability

Linear parabolic systems feedback stabilization dynamic compensator


Nambu, Takao. Stabilization and decay of functionals for linear parabolic control systems. Proc. Japan Acad. Ser. A Math. Sci. 84 (2008), no. 2, 19--24. doi:10.3792/pjaa.84.19.

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