Time-domain response of nabla discrete fractional order systems

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.

13 pages, 6 figures

References in corpus (1)

• Modelling and simulation of nabla fractional dynamic systems with nonzero initial conditions

Cited by in corpus (1)

• Analytical calculation of the inverse nabla Laplace transform