Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8054130 | Applied Mathematics Letters | 2018 | 8 Pages |
Abstract
This paper gives a representation of a solution to the Cauchy problem for a fractional linear system with pure delay. We introduce the fractional delayed matrices cosine and sine of a polynomial of degree and establish some properties. Then, we use the variation of constants method to obtain the solution and our results extend those for second order linear system with pure delay. As an application, the representation of a solution is used to obtain a finite time stability result.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Chengbin Liang, JinRong Wang, D. O'Regan,