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- Title
Analysis of a Class of Fractional Nonlinear Multidelay Differential Systems.
- Authors
Gao, Zhuoyan; Wang, JinRong; Zhou, Yong
- Abstract
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.
- Subjects
FRACTIONAL calculus; EXTERIOR differential systems; EXISTENCE theorems; ITERATIVE methods (Mathematics); PID controllers; NUMERICAL analysis
- Publication
Discrete Dynamics in Nature & Society, 2017, p1
- ISSN
1026-0226
- Publication type
Article
- DOI
10.1155/2017/9050289