Partial controllability of the bilinear reaction–diffusion equation

Partial controllability of the bilinear reaction–diffusion equation

In this paper, we study the approximate and exact partial controllability of a bilinear reaction–diffusion equation governed by a locally supported control. This consists on achieving a desired state only on a privileged subregion of the geometrical domain of the system at hand. For a given initial...

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Veröffentlicht in:International journal of dynamics and control 2020-03, Vol.8 (1), p.197-204
Hauptverfasser: Jidou Khayar, M., Ouzahra, M.
Format: Artikel
Sprache:eng
Schlagworte:
Complexity
Control
Control and Systems Theory
Controllability
Dynamical Systems
Engineering
Reaction-diffusion equations
Stability
Steering
Vibration
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Beschreibung
Zusammenfassung:In this paper, we study the approximate and exact partial controllability of a bilinear reaction–diffusion equation governed by a locally supported control. This consists on achieving a desired state only on a privileged subregion of the geometrical domain of the system at hand. For a given initial state we will provide sufficient conditions on the desirable state to be reached. The steering control is explicitly expressed.
ISSN:2195-268X
2195-2698
DOI:10.1007/s40435-018-0485-0