Analysis of a Class of Fractional Nonlinear Multidelay Differential Systems
Joint Authors
Zhou, Yong
Gao, Zhuoyan
Wang, JinRong
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-10-15
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We address existence and Ulam-Hyers and Ulam-Hyers-Mittag-Leffler stability of fractional nonlinear multiple time-delays systems with respect to two parameters’ weighted norm, which provides a foundation to study iterative learning control problem for this system.
Secondly, we design PID-type learning laws to generate sequences of output trajectories to tracking the desired trajectory.
Two numerical examples are used to illustrate the theoretical results.
American Psychological Association (APA)
Gao, Zhuoyan& Wang, JinRong& Zhou, Yong. 2017. Analysis of a Class of Fractional Nonlinear Multidelay Differential Systems. Discrete Dynamics in Nature and Society،Vol. 2017, no. 2017, pp.1-15.
https://search.emarefa.net/detail/BIM-1151895
Modern Language Association (MLA)
Gao, Zhuoyan…[et al.]. Analysis of a Class of Fractional Nonlinear Multidelay Differential Systems. Discrete Dynamics in Nature and Society No. 2017 (2017), pp.1-15.
https://search.emarefa.net/detail/BIM-1151895
American Medical Association (AMA)
Gao, Zhuoyan& Wang, JinRong& Zhou, Yong. Analysis of a Class of Fractional Nonlinear Multidelay Differential Systems. Discrete Dynamics in Nature and Society. 2017. Vol. 2017, no. 2017, pp.1-15.
https://search.emarefa.net/detail/BIM-1151895
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1151895