Analysis of a Class of Fractional Nonlinear Multidelay Differential Systems

Zhuoyan Gao, JinRong Wang and Yong Zhou

Discrete Dynamics in Nature and Society, 2017, vol. 2017, 1-15

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.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:9050289

DOI: 10.1155/2017/9050289

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