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arXiv · 1812.11370

Time-domain response of nabla discrete fractional order systems

Yiheng Wei·Qing Gao·Songsong Cheng·Yong Wang
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Abstract

This paper investigates the time--domain response of nabla discrete fractional order systems by exploring several useful properties of the nabla discrete Laplace transform and the discrete Mittag--Leffler function. In particular, we establish two fundamental properties of a nabla discrete fractional order system with nonzero initial instant: i) the existence and uniqueness of the system time--domain response; and ii) the dynamic behavior of the zero input response. Finally, one numerical example is provided to show the validity of the theoretical results.

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Yiheng Wei, Qing Gao, Songsong Cheng, Yong Wang. 2018-12-29. Time-domain response of nabla discrete fractional order systems. https://doi.org/10.1002/asjc.2402

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