FRACTIONAL-ORDER

作品数:273被引量:483H指数:10
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相关领域:理学更多>>
相关作者:谭超李特吴莹康艳梅更多>>
相关机构:西安交通大学三峡大学更多>>
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相关基金:国家自然科学基金国家教育部博士点基金中国博士后科学基金安徽省自然科学基金更多>>
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  • 期刊=IEEE/CAA Journal of Automatica Sinicax
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Dynamics of the Fractional-Order Lorenz System Based on Adomian Decomposition Method and Its DSP Implementation
《IEEE/CAA Journal of Automatica Sinica》2024年第5期1298-1300,共3页Shaobo He Kehui Sun Huihai Wang 
supported by the National Natural Science Foundation of China(62061008,62071496,61901530)。
Dear Editor,Dynamics and digital circuit implementation of the fractional-order Lorenz system are investigated by employing Adomian decomposition method(ADM).Dynamics of the fractional-order Lorenz system with derivat...
关键词:DIAGRAM FRACTIONAL system 
Adaptive Containment Control for Fractional-Order Nonlinear Multi-Agent Systems With Time-Varying Parameters被引量:1
《IEEE/CAA Journal of Automatica Sinica》2022年第9期1627-1638,共12页Yang Liu Huaguang Zhang Yingchun Wang Hongjing Liang 
National Key R&D Program of China(2018YFA0702200);National Natural Science Foundation of China(61627809,62173080);Liaoning Revitalization Talents Program(XLYC1801005)。
This paper investigates adaptive containment control for a class of fractional-order multi-agent systems(FOMASs)with time-varying parameters and disturbances.By using the bounded estimation method,the difficulty gener...
关键词:Adaptive backstepping control command filter fractional-order multi-agent system time-varying parameters 
Identification Scheme for Fractional Hammerstein Models With the Delayed Haar Wavelet被引量:4
《IEEE/CAA Journal of Automatica Sinica》2020年第3期882-891,共10页Kajal Kothari Utkal Mehta Vineet Prasad Jito Vanualailai 
The parameter identification of a nonlinear Hammerstein-type process is likely to be complex and challenging due to the existence of significant nonlinearity at the input side. In this paper, a new parameter identific...
关键词:FRACTIONAL-ORDER HAAR WAVELET HAMMERSTEIN model nonlinear process OPERATIONAL matrix time delay 
Distributed Adaptive Cooperative Tracking of Uncertain Nonlinear Fractional-order Multi-agent Systems被引量:16
《IEEE/CAA Journal of Automatica Sinica》2020年第1期292-300,共9页Zhitao Li Lixin Gao Wenhai Chen Yu Xu 
supported by the National Natural Science Foundation of China(61303211);Zhejiang Provincial Natural Science Foundation of China(LY17F030003,LY15F030009)
In this paper, the leader-following tracking problem of fractional-order multi-agent systems is addressed. The dynamics of each agent may be heterogeneous and has unknown nonlinearities. By assumptions that the intera...
关键词:Adaptive control CONSENSUS distributed control fractional-order systems multi-agent system 
Fractional-Order Control for a Novel Chaotic System Without Equilibrium被引量:1
《IEEE/CAA Journal of Automatica Sinica》2019年第4期1000-1009,共10页Shuyi Shao Mou Chen 
supported by the National Natural Science Foundation of China(61573184);Jiangsu Natural Science Foundation of China(SBK20130033);Six Talents Peak Project of Jiangsu Province(2012-XXRJ-010);Fundamental Research Funds for the Central Universities(NE2016101)
The control problem is discussed for a chaotic system without equilibrium in this paper.On the basis of the linear mathematical model of the two-wheeled self-balancing robot,a novel chaotic system which has no equilib...
关键词:CHAOTIC system CIRCUIT implementation FRACTIONAL-ORDER STABILIZATION 
Asymptotic Magnitude Bode Plots of Fractional-Order Transfer Functions
《IEEE/CAA Journal of Automatica Sinica》2019年第4期1019-1026,共8页Ameya Anil Kesarkar Selvaganesan Narayanasamy 
Development of asymptotic magnitude Bode plots for integer-order transfer functions is a well-established topic in the control theory.However,construction of such plots for the fractional-order transfer functions has ...
关键词:ASYMPTOTIC MAGNITUDE Bode commensurateorder FRACTIONAL-ORDER 
Robust Admissibility and Stabilization of Uncertain Singular Fractional-Order Linear Time-Invariant Systems被引量:6
《IEEE/CAA Journal of Automatica Sinica》2019年第3期685-692,共8页Saliha Marir Mohammed Chadli 
This paper addresses the robust admissibility problem in singular fractional-order continuous time systems. It is based on new admissibility conditions of singular fractional-order systems expressed in a set of strict...
关键词:CONTROL FRACTIONAL-ORDER SYSTEMS linear matrix inequalities (LMIs) output feedback CONTROL robust ADMISSIBILITY SINGULAR SYSTEMS UNCERTAIN SYSTEMS 
Stable Model Order Reduction Method for Fractional-Order Systems Based on Unsymmetric Lanczos Algorithm
《IEEE/CAA Journal of Automatica Sinica》2019年第2期485-492,共8页Zhe Gao 
supported by the National Natural Science Foundation of China(61304094,61673198,61773187);the Natural Science Foundation of Liaoning Province,China(20180520009)
This study explores a stable model order reduction method for fractional-order systems. Using the unsymmetric Lanczos algorithm, the reduced order system with a certain number of matched moments is generated. To obtai...
关键词:FRACTIONAL-ORDER SYSTEMS order REDUCTION STABLE REDUCED order SYSTEMS unsymmetric LANCZOS algorithm 
Robust Fractional-Order Proportional-Integral Observer for Synchronization of Chaotic Fractional-Order Systems被引量:1
《IEEE/CAA Journal of Automatica Sinica》2019年第1期268-277,共10页Ibrahima N’Doye Khaled Nabil Salama Taous-Meriem Laleg-Kirati 
supported by King Abdullah University of Science and Technology (KAUST),KSA
In this paper, we propose a robust fractional-order proportional-integral(FOPI) observer for the synchronization of nonlinear fractional-order chaotic systems. The convergence of the observer is proved, and sufficient...
关键词:Chaos SYNCHRONIZATION FRACTIONAL-ORDER CHAOTIC systems indirect Lyapunov approach linear matrix inequality(LMI) ROBUST proportional-integral OBSERVER design 
Mathematical Study of A Memory Induced Biochemical System被引量:1
《IEEE/CAA Journal of Automatica Sinica》2018年第6期1142-1149,共8页Mithun Kumar Ghosh Tridip Sardar Xianbing Cao Priti Kumar Roy 
In this work, to study the effect of memory on a bi-substrate enzyme kinetic reaction, we have introduced an approach to fractionalize the system, considering it as a threecompartmental model. Solutions of the fractio...
关键词:Bi-substrate enzymatic reaction compartmental system control theoretic approach fractional-order differential equations memory effect 
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