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International Journal of Systems Science Volume 47, 2016 - Issue 1
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Original Articles

Consensus with a reference state for fractional-order multi-agent systems

Jing BaiCRIStAL, UMR CNRS 9189, Ecole Centrale de Lille, Villeneuve d’Ascq, FranceView further author information
,
Guoguang WenDepartment of Mathematics, Beijing Jiaotong University, Beijing, P.R.ChinaView further author information
,
Ahmed RahmaniCRIStAL, UMR CNRS 9189, Ecole Centrale de Lille, Villeneuve d’Ascq, FranceView further author information
,
Xing ChuCRIStAL, UMR CNRS 9189, Ecole Centrale de Lille, Villeneuve d’Ascq, FranceView further author information
&
Yongguang YuDepartment of Mathematics, Beijing Jiaotong University, Beijing, P.R.ChinaCorrespondence[email protected]
View further author information
Pages 222-234 | Received 17 Nov 2014, Accepted 21 May 2015, Published online: 02 Jul 2015

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Zahra Yaghoubi & Heidar Ali Talebi. (2020) Cluster consensus of fractional-order non-linear multi-agent systems with switching topology and time-delays via impulsive control. International Journal of Systems Science 51:10, pages 1685-1698.
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Tiedong Ma, Teng Li & Bing Cui. (2018) Coordination of fractional-order nonlinear multi-agent systems via distributed impulsive control. International Journal of Systems Science 49:1, pages 1-14.
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Fei Wang & Yongqing Yang. (2017) Leader-following consensus of nonlinear fractional-order multi-agent systems via event-triggered control. International Journal of Systems Science 48:3, pages 571-577.
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Articles from other publishers (41)

Yanyan Ye, Siqin Liao, Yuanqing Wu & Mali Xing. (2023) Consensus of fractional-order multi-agent systems with sampled position data. Journal of the Franklin Institute 360:15, pages 10856-10875.
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Yanyan Ye, Zhengjie Huang, Liangyin Zhang, Qianqian Cai & Yuanqing Wu. (2023) Consensus of Networked Fractional-Order Systems With Intermittent Sampled Position Measurements. IEEE Transactions on Circuits and Systems I: Regular Papers 70:8, pages 3327-3335.
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Elham Bahrampour, Mohammad Hassan Asemani, Maryam Dehghani & Mohammad Tavazoei. (2023) Consensus control of incommensurate fractional-order multi-agent systems: An LMI approach. Journal of the Franklin Institute 360:6, pages 4031-4055.
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Abbasali Koochakzadeh, Mojtaba Naderi Soorki, Aydin Azizi, Kamran Mohammadsharifi & Mohammadreza Riazat. (2023) Delay-Dependent Stability Region for the Distributed Coordination of Delayed Fractional-Order Multi-Agent Systems. Mathematics 11:5, pages 1267.
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Agnieszka B. Malinowska. Leader-Following consensus of multi-agent systems with the Caputo–Fabrizio derivative. Leader-Following consensus of multi-agent systems with the Caputo–Fabrizio derivative.
Conggui Huang, Fei Wang & Zhaowen Zheng. (2022) Quasiconsensus of fractional-order heterogeneous multiagent systems under event-triggered impulsive control method. Advances in Continuous and Discrete Models 2022:1.
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Liping Chen, Xiaomin Li, Ranchao Wu, António M. Lopes, Xiang Li & Min Zhu. (2022) Guaranteed Cost Consensus for a Class of Fractional-order Uncertain Multi-agent Systems with State Time Delay. International Journal of Control, Automation and Systems 20:11, pages 3487-3500.
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Ricardo Almeida, Agnieszka B. Malinowska & Tatiana Odzijewicz. (2019) On systems of fractional differential equations with the ψ ‐Caputo derivative and their applications . Mathematical Methods in the Applied Sciences 44:10, pages 8026-8041.
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Deep Shekhar Acharya & Sudhansu Kumar Mishra. (2020) Optimal Consensus Recovery of Multi-agent System Subjected to Agent Failure. International Journal on Artificial Intelligence Tools 29:06, pages 2050017.
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Jiejie Chen, Boshan Chen & Zhigang Zeng. (2020) Synchronization and Consensus in Networks of Linear Fractional-Order Multi-Agent Systems via Sampled-Data Control. IEEE Transactions on Neural Networks and Learning Systems 31:8, pages 2955-2964.
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Jing He, Xueyuan Chen, Songan Mao, Changfan Zhang & Jianhua Liu. (2020) Virtual Line Shafting-Based Total-Amount Coordinated Control of Multi-Motor Traction Power. Journal of Advanced Transportation 2020, pages 1-9.
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Ricardo Almeida, Ewa Girejko, Snezhana Hristova & Agnieszka B. Malinowska. (2019) Leader-following consensus for fractional multi-agent systems. Advances in Difference Equations 2019:1.
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Xuhui Wang, Xuesong Li, Nanjing Huang & D. O’Regan. (2019) Asymptotical consensus of fractional-order multi-agent systems with current and delay states. Applied Mathematics and Mechanics 40:11, pages 1677-1694.
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Jun Liu, Ping Li, Wei Chen, Kaiyu Qin & Lei Qi. (2019) Distributed formation control of fractional-order multi-agent systems with relative damping and nonuniform time-delays. ISA Transactions 93, pages 189-198.
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Jun Liu, Ping Li, Lei Qi, Wei Chen & Kaiyu Qin. (2019) Distributed formation control of double-integrator fractional-order multi-agent systems with relative damping and nonuniform time-delays. Journal of the Franklin Institute 356:10, pages 5122-5150.
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Yanyan Ye & Housheng Su. (2019) Leader-following consensus of nonlinear fractional-order multi-agent systems over directed networks. Nonlinear Dynamics 96:2, pages 1391-1403.
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Ewa Girejko & Agnieszka B. Malinowska. (2019) Leader-following consensus for networks with single- and double-integrator dynamics. Nonlinear Analysis: Hybrid Systems 31, pages 302-316.
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Shuaishuai Lv, Mian Pan, Xungen Li, Wenyu Cai, Tianyi Lan & Bingqiang Li. (2019) Consensus Control of Fractional-Order Multi-Agent Systems With Time Delays via Fractional-Order Iterative Learning Control. IEEE Access 7, pages 159731-159742.
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Changfan Zhang, Zhenzhen Lin, Jianhua Liu, Jing He, Han Wu & Peng Li. (2019) Consensus-based total-amount cooperative tracking control for multi-motor locomotive traction system. Journal of the Franklin Institute 356:2, pages 819-834.
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Guojian Ren, Yongguang Yu, Conghui Xu & Xudong Hai. (2018) Consensus of fractional multi-agent systems by distributed event-triggered strategy. Nonlinear Dynamics 95:1, pages 541-555.
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Ricardo Almeida, Agnieszka B. Malinowska & Tatiana Odzijewicz. 2019. Non-Integer Order Calculus and its Applications. Non-Integer Order Calculus and its Applications 14 27 .
Yanyan Ye & Housheng Su. (2018) Leader‐following consensus of general linear fractional‐order multiagent systems with input delay via event‐triggered control. International Journal of Robust and Nonlinear Control 28:18, pages 5717-5729.
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Jun Liu, Kaiyu Qin, Wei Chen & Ping Li. (2018) Consensus of Delayed Fractional-Order Multiagent Systems Based on State-Derivative Feedback. Complexity 2018, pages 1-12.
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Jing Li. (2018) Dual Number-Based Relative Position and Attitude Coordinated Control for Multi-Rigid-Body System. Mathematical Problems in Engineering 2018, pages 1-11.
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Jun Liu, Wei Chen, Kaiyu Qin & Ping Li. (2018) Consensus of Multi-Integral Fractional-Order Multiagent Systems with Nonuniform Time-Delays. Complexity 2018, pages 1-24.
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Yanyan Ye, Housheng Su & Yaping Sun. (2018) Event-triggered consensus tracking for fractional-order multi-agent systems with general linear models. Neurocomputing 315, pages 292-298.
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Agnieszka B. Malinowska & Tatiana Odzijewicz. (2018) Optimal control of discrete-time fractional multi-agent systems. Journal of Computational and Applied Mathematics 339, pages 258-274.
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Ewa Girejko, Dorota Mozyrska & Malgorzata Wyrwas. (2018) The Fractional Variable-Order Cucker-Smale Type Model for a Couple of Agents. The Fractional Variable-Order Cucker-Smale Type Model for a Couple of Agents.
Yude Ji, Yuejuan Liu & Yanping Guo. (2018) Consensus of fractional-order multi-agent systems via LMI approach. Consensus of fractional-order multi-agent systems via LMI approach.
Mojtaba Naderi Soorki & Mohammad Saleh Tavazoei. (2018) Adaptive robust control of fractional‐order swarm systems in the presence of model uncertainties and external disturbances. IET Control Theory & Applications 12:7, pages 961-969.
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Ping Tong, Shihua Chen & Lei Wang. (2018) Finite-time consensus of multi-agent systems with continuous time-varying interaction topology. Neurocomputing 284, pages 187-193.
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Ewa Girejko, Dorota Mozyrska & Małgorzata Wyrwas. (2018) On the Fractional Variable Order Cucker–Smale Type Model. IFAC-PapersOnLine 51:4, pages 693-697.
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Agnieszka B. Malinowska, Ewa Schmeidel & Małgorzata Zdanowicz. (2017) Discrete leader‐following consensus. Mathematical Methods in the Applied Sciences 40:18, pages 7307-7315.
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Zhiyong Yu, Haijun Jiang, Cheng Hu & Juan Yu. (2017) Necessary and Sufficient Conditions for Consensus of Fractional-Order Multiagent Systems via Sampled-Data Control. IEEE Transactions on Cybernetics 47:8, pages 1892-1901.
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Ewa Girejko & Agnieszka B. Malinowska. (2017) Non-invasive control of the Hegselmann-Krause type model. Non-invasive control of the Hegselmann-Krause type model.
Guojian Ren & Yongguang Yu. (2017) Robust consensus for fractional nonlinear multi-agent systems with external disturbances. Robust consensus for fractional nonlinear multi-agent systems with external disturbances.
Peng Xiao, Teng Li & Tiedong Ma. (2017) Impulsive consensus of fractional-order multi-agent systems. Impulsive consensus of fractional-order multi-agent systems.
Wei Zhu, Wenjing Li, Ping Zhou & Chunde Yang. (2017) Consensus of fractional-order multi-agent systems with linear models via observer-type protocol. Neurocomputing 230, pages 60-65.
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Shiyun Shen, Wenjing Li & Wei Zhu. (2017) Consensus of Fractional-Order Multiagent Systems with Double Integrator under Switching Topologies. Discrete Dynamics in Nature and Society 2017, pages 1-7.
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Guojian Ren & Yongguang Yu. (2016) Robust consensus of fractional multi-agent systems with external disturbances. Neurocomputing 218, pages 339-345.
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Dorota Mozyrska & Małgorzata Wyrwas. (2016) Fractional discrete-time of Hegselmann–Krause's type consensus model with numerical simulations. Neurocomputing 216, pages 381-392.
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