STABILIZABILITY OF TIME-PERIODIC EVOLUTION EQUATIONS BY FINITE DIMENSIONAL CONTROLS

STABILIZABILITY OF TIME-PERIODIC EVOLUTION EQUATIONS BY FINITE DIMENSIONAL CONTROLS

We study the stabilizability of time-periodic parabolic control systems with unbounded control operators. We give necessary and sufficient conditions for stabilizability which extend to the case of unbounded control operators, and which sharpen, conditions existing in the literature in the case of b...

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Veröffentlicht in:SIAM journal on control and optimization 2020-01, Vol.58 (3), p.1735-1768
Hauptverfasser: Badra, Mehdi, Mitra, Debanjana, Ramaswamy, Mythily, Raymond, Jean-Pierre
Format: Artikel
Sprache:eng
Schlagworte:
Automation & Control Systems
Mathematics
Mathematics, Applied
Physical Sciences
Science & Technology
Technology
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Zusammenfassung:We study the stabilizability of time-periodic parabolic control systems with unbounded control operators. We give necessary and sufficient conditions for stabilizability which extend to the case of unbounded control operators, and which sharpen, conditions existing in the literature in the case of bounded control operators. We further show how to construct families of finite dimensional controls which preserves the stabilizability of the original system.
ISSN:0363-0129
1095-7138
DOI:10.1137/19M1273451