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International Journal of Systems Science Volume 46, 2015 - Issue 13
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Original Articles

Distributed formation control of fractional-order multi-agent systems with absolute damping and communication delay

Jing BaiLAGIS UMR 8219 CNRS, Ecole Centrale de Lille, Villeneuve d’Ascq, FranceView further author information
,
Guoguang WenDepartment of Mathematics, Beijing Jiaotong University, Beijing, P.R.ChinaCorrespondence[email protected]
View further author information
,
Ahmed RahmaniLAGIS UMR 8219 CNRS, Ecole Centrale de Lille, Villeneuve d’Ascq, FranceView further author information
&
Yongguang YuDepartment of Mathematics, Beijing Jiaotong University, Beijing, P.R.ChinaView further author information
Pages 2380-2392 | Received 21 Feb 2014, Accepted 17 Jul 2014, Published online: 08 Jan 2015

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Ali Izadipour, Jafar Ghaisari & Javad Askari. (2020) Distributed robust adaptive flocking for uncertain nonlinear multi-agent systems with time-varying communication delay. International Journal of Systems Science 51:1, pages 72-86.
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Jing Bai, Guoguang Wen & Ahmed Rahmani. (2018) Leaderless consensus for the fractional-order nonlinear multi-agent systems under directed interaction topology . International Journal of Systems Science 49:5, pages 954-963.
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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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Feifei Wang, Diyi Chen, Xinguang Zhang & Yonghong Wu. (2017) Finite-time stability of a class of nonlinear fractional-order system with the discrete time delay. International Journal of Systems Science 48:5, pages 984-993.
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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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Xin Meng, Baoping Jiang, Hamid Reza Karimi & Cunchen Gao. (2023) Leader–follower sliding mode formation control of fractional-order multi-agent systems: A dynamic event-triggered mechanism. Neurocomputing 557, pages 126691.
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Fatima Cherkaoui, Khalid Hilal, Abdelaziz Qaffou, Shahram Rezapour & Mohammad Esmael Samei. (2023) Fractional-order $\mathcal{SEIR}$ epidemic model with time delay and saturated incidence rate. Novi Sad Journal of Mathematics Accepted.
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Yiping Luo, Xitong Gao, Jinde Cao & Ardak Kashkynbayev. (2022) Finite‐time consensus for second‐order leader‐following multi‐agent systems with external disturbances and internal nonlinear dynamics based on event‐triggered pinning strategy. International Journal of Robust and Nonlinear Control 32:15, pages 8558-8575.
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Ping Gong, Qing-Long Han & Weiyao Lan. (2022) Finite-Time Consensus Tracking for Incommensurate Fractional-Order Nonlinear Multiagent Systems With Directed Switching Topologies. IEEE Transactions on Cybernetics 52:1, pages 65-76.
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Ardak Kashkynbayev & Fathalla A. Rihan. (2021) Dynamics of Fractional-Order Epidemic Models with General Nonlinear Incidence Rate and Time-Delay. Mathematics 9:15, pages 1829.
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Yali Cheng, Taotao Hu, Yonghong Li & Shouming Zhong. (2021) Consensus of fractional-order multi-agent systems with uncertain topological structure: A Takagi-Sugeno fuzzy event-triggered control strategy. Fuzzy Sets and Systems 416, pages 64-85.
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Aadil Lahrouz, Riane Hajjami, Mustapha El Jarroudi & Adel Settati. (2021) Mittag-Leffler stability and bifurcation of a nonlinear fractional model with relapse. Journal of Computational and Applied Mathematics 386, pages 113247.
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Yiwen Chen, Guoguang Wen, Zhaoxia Peng, Tingwen Huang & Yongguang Yu. (2021) Necessary and Sufficient Conditions for Group Consensus of Fractional Multiagent Systems Under Fixed and Switching Topologies via Pinning Control. IEEE Transactions on Cybernetics 51:1, pages 28-39.
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Ping Gong, Weiyao Lan & Qing-Long Han. (2020) Robust adaptive fault-tolerant consensus control for uncertain nonlinear fractional-order multi-agent systems with directed topologies. Automatica 117, pages 109011.
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Taotao Hu, Zheng He, Xiaojun Zhang & Shouming Zhong. (2019) Leader-following consensus of fractional-order multi-agent systems based on event-triggered control. Nonlinear Dynamics 99:3, pages 2219-2232.
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Yufei Gong, Guoguang Wen, Zhaoxia Peng, Tingwen Huang & Yiwen Chen. (2020) Observer-Based Time-Varying Formation Control of Fractional-Order Multi-Agent Systems With General Linear Dynamics. IEEE Transactions on Circuits and Systems II: Express Briefs 67:1, pages 82-86.
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Jia Wang, Jiannong Cao, Milos Stojmenovic, Miao Zhao, Jinlin Chen & Shan Jiang. (2019) Pattern-RL: Multi-robot Cooperative Pattern Formation via Deep Reinforcement Learning. Pattern-RL: Multi-robot Cooperative Pattern Formation via Deep Reinforcement Learning.
Aghaee, Mahdian Dehkordi, Bayati & Hajizadeh. (2019) Distributed Control Methods and Impact of Communication Failure in AC Microgrids: A Comparative Review. Electronics 8:11, pages 1265.
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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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F.A. Rihan, Q.M. Al-Mdallal, H.J. AlSakaji & A. Hashish. (2019) A fractional-order epidemic model with time-delay and nonlinear incidence rate. Chaos, Solitons & Fractals 126, pages 97-105.
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Xiaolin Yuan, Lipo Mo & Yongguang Yu. (2019) Agreement coordination of fractional-order multi-agent systems with reaction–diffusion and persistent disturbances. Physica A: Statistical Mechanics and its Applications 525, pages 680-693.
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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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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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Jing Bai & Yongguang Yu. (2018) Neural Networks Based Adaptive Consensus for a Class of Fractional-Order Uncertain Nonlinear Multiagent Systems. Complexity 2018, pages 1-10.
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Jia Wang, Jiannong Cao & Shan Jiang. (2017) Fault-Tolerant Pattern Formation by Multiple Robots: A Learning Approach. Fault-Tolerant Pattern Formation by Multiple Robots: A Learning Approach.
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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Peng Xiao, Teng Li & Tiedong Ma. (2017) Impulsive consensus of fractional-order multi-agent systems. Impulsive consensus of fractional-order multi-agent systems.
Jing Bai, Guoguang Wen, Ahmed Rahmani & Yongguang Yu. (2017) Distributed consensus tracking for the fractional-order multi-agent systems based on the sliding mode control method. Neurocomputing 235, pages 210-216.
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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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Wei Zhu, Bo Chen & Jie Yang. (2017) Consensus of Fractional-Order Multi-Agent Systems with Input Time Delay. Fractional Calculus and Applied Analysis 20:1, pages 52-70.
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Jing Bai, Guoguang Wen, Yu Song, Ahmed Rahmani & Yongguang Yu. (2016) Distributed formation control of fractional-order multi-agent systems with relative damping and communication delay. International Journal of Control, Automation and Systems 15:1, pages 85-94.
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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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Mohammad Reza Davoodi, Zahra Gallehdari, Iman Saboori, Hamed Rezaee, Elham Semsar‐kazerooni, Nader Meskin, Farzaneh Abdollahi & Khashayar Khorasani. 2000. Wiley Encyclopedia of Electrical and Electronics Engineering. Wiley Encyclopedia of Electrical and Electronics Engineering 1 35 .
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