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

Publish Year: 1401
نوع سند: مقاله ژورنالی
زبان: English
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JR_CMDE-10-1_015

تاریخ نمایه سازی: 9 بهمن 1401

Abstract:

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.

Authors

Anum Zehra

Pakistan Institute of Engineering and Technology, Multan, Pakistan.

Awais Younus

Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, Pakistan.

Cemil Tunc

Department of Mathematics, Faculty of Sciences, Van Yuzuncu Yil University, ۶۵۰۸۰, Campus, Van, Turkey.

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