Assignment of spectrum for time-varying linear control systems via kinematic equivalence

Assignment of spectrum for time-varying linear control systems via kinematic equivalence

In this note, we consider a uniformly completely controllable linear system. For this system, we show the existence of a linear state feedback such that the corresponding closed-loop system is kinematically equivalent to a linear time-invariant system whose spectrum is a prior set of distinct real n...

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Veröffentlicht in:Systems & control letters 2024-04, Vol.186, p.105763, Article 105763
Hauptverfasser: Anh, Pham The, Czornik, Adam, Doan, Thai Son, Suong, Nguyen Thi Thu
Format: Artikel
Sprache:eng
Schlagworte:
Kinematic equivalence
Linear control systems
Pole placement method
State feedback
Uniform complete controllability
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Zusammenfassung:In this note, we consider a uniformly completely controllable linear system. For this system, we show the existence of a linear state feedback such that the corresponding closed-loop system is kinematically equivalent to a linear time-invariant system whose spectrum is a prior set of distinct real numbers.
ISSN:0167-6911
1872-7956
DOI:10.1016/j.sysconle.2024.105763