Time scale reachability and controllability of time-varying linear systems

Bacem Ben Nasser; Mohamed Djemai; Michael Defoort; Taous-Meriem Laleg-Kirati

doi:10.1002/asjc.2661

Time scale reachability and controllability of time-varying linear systems

Bacem Ben Nasser, Mohamed Djemai, Michael Defoort, Taous-Meriem Laleg-Kirati

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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.

Original language	English (US)
Journal	Asian Journal of Control
DOIs	https://doi.org/10.1002/asjc.2661
State	Published - Dec 21 2021

Bibliographical note

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.

ASJC Scopus subject areas

Control and Systems Engineering

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10.1002/asjc.2661

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title = "Time scale reachability and controllability of time-varying linear systems",

abstract = "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.",

author = "{Ben Nasser}, Bacem and Mohamed Djemai and Michael Defoort and Taous-Meriem Laleg-Kirati",

note = "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.",

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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.

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DO - 10.1002/asjc.2661

M3 - Article

SN - 1561-8625

JO - Asian Journal of Control

JF - Asian Journal of Control

ER -

Time scale reachability and controllability of time-varying linear systems

Abstract

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