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On the observability of conformable linear time-invariant control systems

Awais Younus, ,Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, Pakistan, Zoubia Dastgeer, Nudrat Ishaq, Abdul Ghaffar, Kottakkaran Sooppy Nisar, Devendra Kumar, ,Informetrics Research Group, Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam, ,Department of Mathematics, College of Arts and Sciences, Wadi Aldawaser, Prince Sattam bin Abdulaziz University, Saudi Arabia, ,Department of Mathematics, University of Rajasthan, Jaipur-302004, Rajasthan, India
2018 Discrete and Continuous Dynamical Systems. Series S  

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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. 2020 Mathematics Subject Classification. Primary: 93B07, 34A38; Secondary: 34A08.
doi:10.3934/dcdss.2020444 fatcat:shjvccjh3zco3iasnvdm4acaam
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Awais Younus, ,Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, Pakistan, Zoubia Dastgeer, Nudrat Ishaq, Abdul Ghaffar, Kottakkaran Sooppy Nisar, Devendra Kumar, ,Informetrics Research Group, Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam, ,Department of Mathematics, College of Arts and Sciences, Wadi Aldawaser, Prince Sattam bin Abdulaziz University, Saudi Arabia, ,Department of Mathematics, University of Rajasthan, Jaipur-302004, Rajasthan, India. "On the observability of conformable linear time-invariant control systems." Discrete and Continuous Dynamical Systems. Series S 14.10 (2018) 0-0