Article citationsMore>>

T. Nambu, “Stabilization and Decay of Functionals for Linear Parabolic Control Systems,” Proceedings of the Japan Academy, Series A, Vol. 84, No. 2, 2008, pp. 19-24. http://dx.doi.org/10.3792/pjaa.84.19

has been cited by the following article:

• TITLE: On Decay of Solutions and Spectral Property for a Class of Linear Parabolic Feedback Control Systems

  AUTHORS: Takao Nambu

  KEYWORDS: Stabilization of Linear Parabolic Systems; Decay of Functionals; Dynamic Feedback Scheme; Spectral Structures of Composite Systems; Complete Observability of Systems

  JOURNAL NAME: Advances in Pure Mathematics, Vol.3 No.9A, December 18, 2013

  ABSTRACT: Unlike regular stabilizations, we construct in the paper a specific feedback control system such that u(t) decays exponentially with the designated decay rate, and that some non-trivial linear functionals of u decay exactly faster than . The system contains a dynamic compensator with another state v in the feedback loop, and consists of two states u and v. This problem entirely differs from the one with static feedback scheme in which the system consists only of a single state u. To show the essential difference, some specific property of the spectral subspaces associated with our control system is studied.