Finite-time synchronization of uncertain fractional-order multi-weighted complex networks with external disturbances via adaptive quantized control

doi:10.1088/1674-1056/ac686b

中国物理B ›› 2022, Vol. 31 ›› Issue (10): 100504-100504.doi: 10.1088/1674-1056/ac686b

Finite-time synchronization of uncertain fractional-order multi-weighted complex networks with external disturbances via adaptive quantized control

Hongwei Zhang(张红伟), Ran Cheng(程然), and Dawei Ding(丁大为)^†

School of Electronics and Information Engineering, Anhui University, Hefei 230601, China

收稿日期:2022-03-07 修回日期:2022-04-05 出版日期:2022-10-16 发布日期:2022-09-30
通讯作者: Dawei Ding E-mail:dwding@ahu.edu.cn

Finite-time synchronization of uncertain fractional-order multi-weighted complex networks with external disturbances via adaptive quantized control

Hongwei Zhang(张红伟), Ran Cheng(程然), and Dawei Ding(丁大为)^†

School of Electronics and Information Engineering, Anhui University, Hefei 230601, China

Received:2022-03-07 Revised:2022-04-05 Online:2022-10-16 Published:2022-09-30
Contact: Dawei Ding E-mail:dwding@ahu.edu.cn

摘要/Abstract

摘要： The finite-time synchronization of fractional-order multi-weighted complex networks (FMCNs) with uncertain parameters and external disturbances is studied. Firstly, based on fractional calculus characteristics and Lyapunov stability theory, quantized controllers are designed to guarantee that FMCNs can achieve synchronization in a limited time with and without coupling delay, respectively. Then, appropriate parameter update laws are obtained to identify the uncertain parameters in FMCNs. Finally, numerical simulation examples are given to validate the correctness of the theoretical results.

关键词: fractional-order complex networks, uncertain parameter, finite-time synchronization, quantized control

Abstract: The finite-time synchronization of fractional-order multi-weighted complex networks (FMCNs) with uncertain parameters and external disturbances is studied. Firstly, based on fractional calculus characteristics and Lyapunov stability theory, quantized controllers are designed to guarantee that FMCNs can achieve synchronization in a limited time with and without coupling delay, respectively. Then, appropriate parameter update laws are obtained to identify the uncertain parameters in FMCNs. Finally, numerical simulation examples are given to validate the correctness of the theoretical results.

Key words: fractional-order complex networks, uncertain parameter, finite-time synchronization, quantized control

中图分类号: (Nonlinear dynamics and chaos)

05.45.-a

05.45.Xt (Synchronization; coupled oscillators) 02.30.Yy (Control theory)

Hongwei Zhang(张红伟), Ran Cheng(程然), and Dawei Ding(丁大为). Finite-time synchronization of uncertain fractional-order multi-weighted complex networks with external disturbances via adaptive quantized control[J]. 中国物理B, 2022, 31(10): 100504-100504.

参考文献

[1] Boccaletti S, Latora V, Moreno Y, Chavez M and Hwang H U 2006 Phys. Rep. 424 175
[2] Rosvall M and Bergstrom C T 2008 Proc. Natl. Acad. Sci. USA 105 4
[3] Wang L and Wang P 2015 Int. J. Modern Phys. C 26 1550052
[4] Johnsen T E, Mikkelsen O S and Wong C Y 2019 Supp. Chain Manag. 24 872
[5] Zhai S and Yang X S 2014 IET Control Theory Appl. 8 61
[6] Zhang C and Shi L 2019 J. Franklin Instit. 356 4106
[7] Zhang C and Chen T 2018 Physica A 496 602
[8] Zhang C and Han B S 2020 Physica A 538 122827
[9] Xu Y, Li Y Z and Li W X 2020 Commun. Nonlinear Sci. Numer. Simulat. 85 105239
[10] Yao X, Xia D and Zhang C M 2021 Math. Methods Appl. Sci. 44 1570
[11] Ding D W, Yan J, Wang N and Liang D 2017 Chaos, Solitons and Fractals 104 41
[12] Hu C, He H B and Jiang H J 2020 Automatica 112 108675
[13] Zhang C, Wang X Y, Ye X, Zhou S and Feng L 2020 ISA Transact. 101 42
[14] Jin Y G, Zhong S M and An N 2014 Chin. Phys. B 24 049202
[15] Wang Q, Wang J L, Huang Y L and Ren S Y 2018 J. Franklin Instit. 355 6597
[16] Zhao L H, Wang J L and Zhang Y 2020 J. Franklin Instit. 357 414
[17] Yang Q J, Wu H Q and Cao J D 2021 Neurocomput. 428 182
[18] Liu L, Ding X W and Zhou W N 2021 Neurocomputing 419 136
[19] Shi L, Zhu H and Zhong S M 2017 Nonlinear Dyn. 88 859
[20] Chu X Y, Xu L G and Hu H X 2020 Chaos, Solitons and Fractals 140 110268
[21] Chen X Y, Huang T W, Cao J D, Park J H and Qiu J H 2019 IET Control Theory Appl. 13 1246
[22] Chen X, Yang X S, Lu J Q, Feng J W, Alsaadi F E and Hayat T 2018 IEEE Transact. Cybernet. 48 3021
[23] Guo Y, Chen B D and Wu Y B 2020 J. Franklin Instit. 357 359
[24] He S H, Wu Y Q and Li Y Z 2020 J. Franklin Instit. 357 11645
[25] Zhang W L, Li C D, He X and Li H F 2018 Modern Phys. Lett. B 32 1850002
[26] Huang D B 2004 Phys. Rev. E 69 067201
[27] Mei J, Jiang M H and Wang J 2013 Commun. Nonlinear Sci. Numer. Simulat. 18 999
[28] Liu L F and Miao S X 2018 Physica A 512 890
[29] Zhao H, Li L, Xiao J, Yang Y and Zheng M 2017 Chaos, Solitons and Fractals 104 268
[30] Kilbas A, Srivastava H and Trujillo J 2006 Theory and Application of Fractional Differential Equations (New York: Elsevier) p. 80
[31] Podlubny I 1999 Fractional Differential Equations (San Diego: Academic) p. 141
[32] Kaslik E and Sivasundaram S 2012 Neural Networks 32 245
[33] Jia J, Huang X, Li Y, Cao J D and Alsaedi A 2020 IEEE Transact. Neural Networks Learning Sys. 31 997
[34] Alkahtani B S T 2016 Chaos, Solitons and Fractals 89 547
[35] Petras I 2010 IEEE Transact. Circuits Systems II: Exp. Briefs 57 975
[36] Li H L, Cao J D, Jiang H J and Alsaedi A 2018 J. Franklin Instit. 355 5771
[37] Li H L, Cao J D, Jiang H J and Alsaedi A 2019 Physica A 533 122027
[38] Lu J Y, Guo Y P, Ji Y D and Fan S S 2020 Chaos, Solitons and Fractals 130 109433
[39] Wang J A, Nie R X and Sun Z Y 2014 Chin. Phys. B 23 050509
[40] Gan L Y N, Wu Z Y and Gong X L 2015 Chin. Phys. B 24 040503
[41] Dong H L, Luo M and Xiao M Q 2021 Neural Networks 141 40
[42] Niu Y G and Daniel W C H 2014 Automatica 50 2665
[43] Fu M Y and Xie L H 2005 IEEE Transact. Automatic Control 50 1698
[44] He J J, Chen H, Ge M F, Ding T F, Wang L M and Liang C D 2021 Neurocomput. 431 90
[45] Bao H B, Park J H and Cao J D 2021 IEEE Transact. Neural Networks Learning Sys. 32 3230
[46] Fan Y J, Huang X, Wang Z, Xia J W and Shen H 2020 Neural Proc. Lett. 52 403
[47] Camacho N A, Mermoud M A D and Gallegos J A 2014 Commun. Nonlinear Sci. Numer. Simulat. 19 2951
[48] Ding D W, Yao X L and Zhang H W 2019 Neural Proc. Lett. 51 325
[49] Qian C J and Li J 2021 IEEE Transact. Automatic Control 50 885
[50] Filippov A F 1988 1988 Differential equations with discontinuous right hand sides (Norwell: Kluwer Academic Publishers) pp. 377—390

Finite-time synchronization of uncertain fractional-order multi-weighted complex networks with external disturbances via adaptive quantized control

Finite-time synchronization of uncertain fractional-order multi-weighted complex networks with external disturbances via adaptive quantized control

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 12

Metrics

本文评价

推荐阅读 0

[1]	Ning Li(李宁), Haiyi Sun(孙海义), Xin Jing(靖新), and Zhongtang Chen(陈仲堂). Dynamic modeling and aperiodically intermittent strategy for adaptive finite-time synchronization control of the multi-weighted complex transportation networks with multiple delays[J]. 中国物理B, 2021, 30(9): 90507-090507.
[2]	李树凯, 杨立兴, 李克平. Robust output feedback cruise control for high-speed train movement with uncertain parameters[J]. , 2015, 24(1): 10503-010503.
[3]	柴元, 陈立群. Periodic synchronization of community networks with non-identical nodes uncertain parameters and adaptive coupling strength[J]. 中国物理B, 2014, 23(3): 30504-030504.
[4]	刘平. Robust finite-time stabilization of unified chaotic complex systems with certain and uncertain parameters[J]. 中国物理B, 2013, 22(7): 70501-070501.
[5]	Mohammad Pourmahmood Aghababa, Hassan Feizi. Nonsingular terminal sliding mode approach applied to synchronize chaotic systems with unknown parameters and nonlinear inputs[J]. 中国物理B, 2012, 21(6): 60506-060506.
[6]	刘金桂. Generalized projective synchronization of fractional-order complex networks with nonidentical nodes[J]. Chin. Phys. B, 2012, 21(12): 120506-120506.
[7]	Mohammad Pourmahmood Aghababa. A novel adaptive finite-time controller for synchronizing chaotic gyros with nonlinear inputs[J]. 中国物理B, 2011, 20(9): 90505-090505.
[8]	桑金玉, 杨吉, 岳立娟. Complete synchronization of double-delayed R"ossler systems with uncertain parameters[J]. 中国物理B, 2011, 20(8): 80507-080507.
[9]	胡佳, 张群娇. Adaptive synchronization of uncertain Liu system via nonlinear input[J]. 中国物理B, 2008, 17(2): 503-506.
[10]	齐冬莲. Adaptive passive equivalence of uncertain Lü system[J]. 中国物理B, 2006, 15(8): 1715-1718.
[11]	李智, 韩崇昭. Global adaptive synchronization of chaotic systems with uncertain parameters[J]. 中国物理B, 2002, 11(1): 9-11.
[12]	李智, 韩崇昭. ADAPTIVE CONTROL AND IDENTIFICATION OF CHAOTIC SYSTEMS[J]. 中国物理B, 2001, 10(6): 494-496.