Controllability of fractional order system with nonlinear term having integral contractor

AbstractIn this paper, controllability results for a class of semilinear control systems of fractional order are established. The nonlinear term is assumed to have an integral contractor which is a weaker condition than the Lipschitz continuity. The existence and uniqueness of mild solution is also proved.

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Existence and Uniqueness Results for a Novel Complex Chaotic Fractional Order System

Studies in Systems, Decision and Control - Fractional Derivatives with Mittag-Leffler Kernel ◽

10.1007/978-3-030-11662-0_7 ◽

2019 ◽

pp. 97-115 ◽

Cited By ~ 1

Author(s):

Ilknur Koca ◽

A. Atangana

Keyword(s):

Fractional Order ◽

Existence And Uniqueness ◽

Fractional Order System ◽

Order System ◽

Existence And Uniqueness Results ◽

Uniqueness Results ◽

Novel Complex

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The existence and uniqueness theorem of the solution to a class of nonlinear fractional order system with time delay

Applied Mathematics Letters ◽

10.1016/j.aml.2015.10.001 ◽

2016 ◽

Vol 53 ◽

pp. 45-51 ◽

Cited By ~ 23

Author(s):

Fei-Fei Wang ◽

Di-Yi Chen ◽

Xin-Guang Zhang ◽

Yong Wu

Keyword(s):

Time Delay ◽

Uniqueness Theorem ◽

Fractional Order ◽

Existence And Uniqueness ◽

Fractional Order System ◽

Order System ◽

Existence And Uniqueness Theorem ◽

System With Time Delay

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Online Parameter Estimation for Lithium-ion Battery by using Adaptive Observer for Fractional Order System

IEEJ Transactions on Electronics Information and Systems ◽

10.1541/ieejeiss.137.1015 ◽

2017 ◽

Vol 137 (8) ◽

pp. 1015-1023

Author(s):

Takahiro Takamatsu ◽

Hiromitsu Ohmori

Keyword(s):

Parameter Estimation ◽

Lithium Ion Battery ◽

Fractional Order ◽

Lithium Ion ◽

Fractional Order System ◽

Adaptive Observer ◽

Order System

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Simultaneous Identification of Fractional-order System Structure and Order and Parameters Based on Alternately Transforming Condensed Information Matrix

ACTA AUTOMATICA SINICA ◽

10.3724/sp.j.1004.2012.01280 ◽

2012 ◽

Vol 38 (8) ◽

pp. 1280 ◽

Cited By ~ 2

Author(s):

Cheng-Xiang ZHU ◽

Yun ZOU

Keyword(s):

Fractional Order ◽

Information Matrix ◽

Fractional Order System ◽

System Structure ◽

Order System ◽

Simultaneous Identification

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Fractional Order System Identification with Occupation Kernel Regression

IEEE Control Systems Letters ◽

10.1109/lcsys.2020.3046408 ◽

2020 ◽

pp. 1-1

Author(s):

Xiuying Li ◽

Joel A Rosenfeld

Keyword(s):

System Identification ◽

Fractional Order ◽

Kernel Regression ◽

Fractional Order System ◽

Order System

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Numerical treatment of a fractional order system of nonlinear stochastic delay differential equations using a computational scheme

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2021.111018 ◽

2021 ◽

Vol 149 ◽

pp. 111018

Author(s):

Lingyun He ◽

Seddigheh Banihashemi ◽

Hossein Jafari ◽

Afshin Babaei

Keyword(s):

Differential Equations ◽

Fractional Order ◽

Delay Differential Equations ◽

Fractional Order System ◽

Computational Scheme ◽

Order System ◽

Numerical Treatment ◽

Stochastic Delay Differential Equations ◽

Stochastic Delay ◽

Delay Differential

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Adaptive Synchronization of a Stochastic Fractional-Order System

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.733.939 ◽

2015 ◽

Vol 733 ◽

pp. 939-942

Author(s):

Xiao Jun Liu

Keyword(s):

Numerical Simulations ◽

Fractional Order ◽

Stochastic System ◽

Fractional Order System ◽

Adaptive Synchronization ◽

Order System ◽

Unknown Parameters ◽

Adaptive Laws

In this paper, adaptive synchronization of a stochastic fractional-order system with unknown parameters is studied. Firstly, the stochastic system is reduced into the equivalent deterministic one with Laguerre approximation. Then, the synchronization for the system is realized by designing appropriate controllers and adaptive laws of the unknown parameters. Numerical simulations are carried out to demonstrate the effectiveness of the controllers and laws.

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