Time-domain response of nabla discrete fractional order systems
Dynamical Systems
2022-12-07 v1 Optimization and Control
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.
Keywords
Cite
@article{arxiv.1812.11370,
title = {Time-domain response of nabla discrete fractional order systems},
author = {Yiheng Wei and Qing Gao and Songsong Cheng and Yong Wang},
journal= {arXiv preprint arXiv:1812.11370},
year = {2022}
}
Comments
13 pages, 6 figures