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

Article Contents

2021, Volume 14, Issue 10: 3837-3849. Doi: 10.3934/dcdss.2020444

This issue Previous Article Existence and nonexistence of entire positive radial solutions for a class of Schrödinger elliptic systems involving a nonlinear operator Next Article Radial symmetry for logarithmic Choquard equation involving a generalized tempered fractional

$ p $

-Laplacian

On the observability of conformable linear time-invariant control systems

1.
Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, Pakistan
2.
Informetrics Research Group, Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam
3.
Department of Mathematics, College of Arts and Sciences, Wadi Aldawaser, Prince Sattam bin Abdulaziz University, Saudi Arabia
4.
Department of Mathematics, University of Rajasthan, Jaipur-302004, Rajasthan, India

^* Corresponding author: Devendra Kumar
^* Corresponding author: Devendra Kumar

Received: October 31, 2019

Revised: February 29, 2020

Early access: November 2020

Published: October 2021

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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.

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Mathematics Subject Classification: Primary: 93B07, 34A38; Secondary: 34A08.

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