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Zehra, Anum, Younus, Awais, Tunc, Cemil. (1400). Controllability and observability of linear impulsive differential algebraic system with Caputo fractional derivative. سامانه مدیریت نشریات علمی, 10(1), 200-214. doi: 10.22034/cmde.2020.39372.1724
Anum Zehra; Awais Younus; Cemil Tunc. "Controllability and observability of linear impulsive differential algebraic system with Caputo fractional derivative". سامانه مدیریت نشریات علمی, 10, 1, 1400, 200-214. doi: 10.22034/cmde.2020.39372.1724
Zehra, Anum, Younus, Awais, Tunc, Cemil. (1400). 'Controllability and observability of linear impulsive differential algebraic system with Caputo fractional derivative', سامانه مدیریت نشریات علمی, 10(1), pp. 200-214. doi: 10.22034/cmde.2020.39372.1724
Zehra, Anum, Younus, Awais, Tunc, Cemil. Controllability and observability of linear impulsive differential algebraic system with Caputo fractional derivative. سامانه مدیریت نشریات علمی, 1400; 10(1): 200-214. doi: 10.22034/cmde.2020.39372.1724

Controllability and observability of linear impulsive differential algebraic system with Caputo fractional derivative

Computational Methods for Differential Equations
مقاله 15، دوره 10، شماره 1، فروردین 2022، صفحه 200-214    اصل مقاله (146.77 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2020.39372.1724
نویسندگان
Anum Zehra1؛ Awais Younus2؛ Cemil Tunc* 3
1Pakistan Institute of Engineering and Technology, Multan, Pakistan.
2Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, Pakistan.
3Department of Mathematics, Faculty of Sciences, Van Yuzuncu Yil University, 65080, Campus, Van, Turkey.
چکیده
Linear impulsive fractional differential-algebraic systems (LIFDAS) in a finite dimensional space are studied. We obtain the solution of LIFDAS. Using Gramian matrices, necessary and sufficient conditions for controllability and observability of time varying LIFDAS are established. We acquired the criterion for time-invariant LIFDAS in the form of rank conditions. The results are more generalized than the results that are obtained for various differential-algebraic systems without impulses. 
کلیدواژه‌ها
Controllability؛ Observability؛ Drazin inverse؛ Caputo fractional derivative
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