Null Controllability of an Abstract Riesz-spectral Boundary Control Systems

This paper addresses the null controllability of an abstract boundary control systems in Hilbert spaces where the system operator is of Riesz type. Consequently, this document establishes a criterion for null controllability in such systems based on initial data, utilizing the moment problem. Furthe...

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Bibliographic Details
Published in:	Journal of dynamical and control systems Vol. 30; no. 3
Main Authors:	Lourini, Abdellah, El Azzouzi, Mohamed, Laabissi, Mohamed
Format:	Journal Article
Language:	English
Published:	New York Springer US 01-09-2024 Springer Nature B.V
Subjects:	Boundary control Calculus of Variations and Optimal Control; Optimization Control Control systems Controllability Criteria Dynamical Systems Dynamical Systems and Ergodic Theory Hilbert space Linear systems Mathematics Mathematics and Statistics Systems Theory Thermodynamics Vibration Dirichlet operator Mullins equation 47D06 Heat equation 93B05 Unbounded control operator Boundary control Semigroup Null controllability 93A10
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Summary:	This paper addresses the null controllability of an abstract boundary control systems in Hilbert spaces where the system operator is of Riesz type. Consequently, this document establishes a criterion for null controllability in such systems based on initial data, utilizing the moment problem. Furthermore, this criterion is formulated by employing a null controllability criterion that is applicable to a corresponding linear system with internal control. Finally, we apply our approach to the heat equation and the Mullins equation, demonstrating the practicality of our methodology.
ISSN:	1079-2724 1573-8698
DOI:	10.1007/s10883-024-09707-y