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Your search keyword '"Wang, Yong"' showing total 2 results
2 results on '"Wang, Yong"'

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

Author

Wei, Yiheng, Wang, Jiachang, Tse, Peter W., and Wang, Yong

Subjects
DYNAMICAL systems, SIMULATION methods & models, FRACTIONAL calculus, ALGORITHMS, FINITE, The
Abstract

The paper focuses on the numerical approximation of discrete fractional order systems with the conditions of nonzero initial instant and nonzero initial state. First, the inverse nabla Laplace transform is developed and the equivalent infinite dimensional frequency distributed model of discrete fractional order system is introduced. Then, resorting the nabla discrete Laplace transform, the rationality of the finite dimensional frequency distributed model approaching the infinite one is illuminated. Based on this, an original algorithm to estimate the parameters of the approximate model is proposed with the help of vector fitting method. Additionally, the applicable object is extended from a sum operator to a general system. Three numerical examples are performed to illustrate the applicability and flexibility of the introduced methodology. [ABSTRACT FROM AUTHOR]

Published
2021
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2. On the series representation of nabla discrete fractional calculus.

Author

Wei, Yiheng, Gao, Qing, Liu, Da-Yan, and Wang, Yong

Subjects
*DISCRETE systems, *FRACTIONAL calculus, *REPRESENTATION theory, *MATHEMATICAL series, *PROBLEM solving
Abstract

Highlights • A new nabla Taylor formula expanded at b ≥ n is derived for a discrete function. • Two kinds of series representations of are derived for nabla discrete fractional sum/difference. • Some essential properties of nabla discrete fractional calculus are investigated. • Besides fixed initial instant case, nabla fractional calculus with fixed memory step are introduced. Abstract This paper addresses the description and analysis problems of nabla discrete fractional calculus. The series representation framework is developed first, including two Taylor series expanded at the initial instant and the current time, respectively. Under this framework, several essential properties of fractional sum/difference are presented and investigated. Notably, the short memory principle is introduced for nabla discrete fractional calculus, along with which two corresponding series are studied. [ABSTRACT FROM AUTHOR]

Published
2019
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