TY - JOUR
T1 - Time scale reachability and controllability of time-varying linear systems
AU - Ben Nasser, Bacem
AU - Djemai, Mohamed
AU - Defoort, Michael
AU - Laleg-Kirati, Taous-Meriem
N1 - KAUST Repository Item: Exported on 2022-01-28
Acknowledgements: Research reported in this publication was supported by King Abdullah University of Science and Technology (KAUST) through the base research fund under grant number BAS/1/1627-01-01 and by ANR and Region Hauts-de-France under projet I2RM.
PY - 2021/12/21
Y1 - 2021/12/21
N2 - In this paper, we investigate the analysis of reachability and controllability for time-varying linear systems evolving on nonuniform time domains also known as arbitrary time scales. Based on appropriate operators, some necessary and sufficient conditions are derived to guarantee the reachability for this class of systems using linear algebra tools. Furthermore, a link between optimality and the proposed operators is given. Then, the connection between reachability and controllability analysis on arbitrary time scales is discussed. Through the paper, some examples illustrate the theoretical results.
AB - In this paper, we investigate the analysis of reachability and controllability for time-varying linear systems evolving on nonuniform time domains also known as arbitrary time scales. Based on appropriate operators, some necessary and sufficient conditions are derived to guarantee the reachability for this class of systems using linear algebra tools. Furthermore, a link between optimality and the proposed operators is given. Then, the connection between reachability and controllability analysis on arbitrary time scales is discussed. Through the paper, some examples illustrate the theoretical results.
UR - http://hdl.handle.net/10754/675176
UR - https://onlinelibrary.wiley.com/doi/10.1002/asjc.2661
UR - http://www.scopus.com/inward/record.url?scp=85121498405&partnerID=8YFLogxK
U2 - 10.1002/asjc.2661
DO - 10.1002/asjc.2661
M3 - Article
SN - 1561-8625
JO - Asian Journal of Control
JF - Asian Journal of Control
ER -