On the observability of conformable linear time-invariant control systems

Awais Younus; Zoubia Dastgeer; Nudrat Ishaq; Abdul Ghaffar; Kottakkaran Sooppy Nisar; Devendra Kumar

doi:10.3934/DCDSS.2020444

On the observability of conformable linear time-invariant control systems

Awais Younus
, Zoubia Dastgeer
, Nudrat Ishaq
, Abdul Ghaffar
, Kottakkaran Sooppy Nisar
, Devendra Kumar

Mathematics

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

13 Scopus citations

Abstract

In this paper, we analyze the concept of observability in the case of conformable time-invariant linear control systems. Also, we study the Gramian observability matrix of the conformable linear system, its rank criteria, null space, and some other conditions. We also discuss some properties of conformable Laplace transform.

Original language	English
Pages (from-to)	3837-3849
Number of pages	13
Journal	Discrete and Continuous Dynamical Systems - Series S
Volume	14
Issue number	10
DOIs	https://doi.org/10.3934/DCDSS.2020444
State	Published - Oct 2021

Keywords

Conformable Laplace transform
Conformable operator
Gramian observability matrix
Time-invariant linear control systems

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10.3934/DCDSS.2020444

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title = "On the observability of conformable linear time-invariant control systems",

abstract = "In this paper, we analyze the concept of observability in the case of conformable time-invariant linear control systems. Also, we study the Gramian observability matrix of the conformable linear system, its rank criteria, null space, and some other conditions. We also discuss some properties of conformable Laplace transform.",

keywords = "Conformable Laplace transform, Conformable operator, Gramian observability matrix, Time-invariant linear control systems",

author = "Awais Younus and Zoubia Dastgeer and Nudrat Ishaq and Abdul Ghaffar and Nisar, \{Kottakkaran Sooppy\} and Devendra Kumar",

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AU - Younus, Awais

AU - Dastgeer, Zoubia

AU - Ishaq, Nudrat

AU - Ghaffar, Abdul

AU - Nisar, Kottakkaran Sooppy

AU - Kumar, Devendra

PY - 2021/10

Y1 - 2021/10

N2 - In this paper, we analyze the concept of observability in the case of conformable time-invariant linear control systems. Also, we study the Gramian observability matrix of the conformable linear system, its rank criteria, null space, and some other conditions. We also discuss some properties of conformable Laplace transform.

AB - In this paper, we analyze the concept of observability in the case of conformable time-invariant linear control systems. Also, we study the Gramian observability matrix of the conformable linear system, its rank criteria, null space, and some other conditions. We also discuss some properties of conformable Laplace transform.

KW - Conformable Laplace transform

KW - Conformable operator

KW - Gramian observability matrix

KW - Time-invariant linear control systems

UR - https://www.scopus.com/pages/publications/85112409888

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DO - 10.3934/DCDSS.2020444

M3 - Article

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JO - Discrete and Continuous Dynamical Systems - Series S

JF - Discrete and Continuous Dynamical Systems - Series S

IS - 10

ER -

On the observability of conformable linear time-invariant control systems

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Keywords

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