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Information Journal Paper

Title

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

Pages

  200-214

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.

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  • Cite

    APA: Copy

    Zehra, Anum, Younus, Awais, & Tunc, Cemil. (2022). Controllability and observability of linear impulsive differential algebraic system with Caputo fractional derivative. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 10(1), 200-214. SID. https://sid.ir/paper/1057100/en

    Vancouver: Copy

    Zehra Anum, Younus Awais, Tunc Cemil. Controllability and observability of linear impulsive differential algebraic system with Caputo fractional derivative. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS[Internet]. 2022;10(1):200-214. Available from: https://sid.ir/paper/1057100/en

    IEEE: Copy

    Anum Zehra, Awais Younus, and Cemil Tunc, “Controllability and observability of linear impulsive differential algebraic system with Caputo fractional derivative,” COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, vol. 10, no. 1, pp. 200–214, 2022, [Online]. Available: https://sid.ir/paper/1057100/en

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