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Finite/fixed-time synchronization for complex networks via quantized adaptive control

  • Received: 01 May 2020 Revised: 01 July 2020 Published: 23 September 2020
  • 94C30

  • In this paper, a unified theoretical method is presented to implement the finite/fixed-time synchronization control for complex networks with uncertain inner coupling. The quantized controller and the quantized adaptive controller are designed to reduce the control cost and save the channel resources, respectively. By means of the linear matrix inequalities technique, two sufficient conditions are proposed to guarantee that the synchronization error system of the complex networks is finite/fixed-time stable in virtue of the Lyapunov stability theory. Moreover, two types of setting time, which are dependent and independent on the initial values, are given respectively. Finally, the effectiveness of the control strategy is verified by a simulation example.

    Citation: Yu-Jing Shi, Yan Ma. Finite/fixed-time synchronization for complex networks via quantized adaptive control[J]. Electronic Research Archive, 2021, 29(2): 2047-2061. doi: 10.3934/era.2020104

    Related Papers:

  • In this paper, a unified theoretical method is presented to implement the finite/fixed-time synchronization control for complex networks with uncertain inner coupling. The quantized controller and the quantized adaptive controller are designed to reduce the control cost and save the channel resources, respectively. By means of the linear matrix inequalities technique, two sufficient conditions are proposed to guarantee that the synchronization error system of the complex networks is finite/fixed-time stable in virtue of the Lyapunov stability theory. Moreover, two types of setting time, which are dependent and independent on the initial values, are given respectively. Finally, the effectiveness of the control strategy is verified by a simulation example.



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    [1] Complex networks: Structure and dynamics. Phys. Rep. (2006) 424: 175-308.
    [2] Chaos synchronization in Chua's circuit. J. Circuits Systems Comput. (1993) 3: 93-108.
    [3] On identifying magnetized anomalies using geomagnetic monitoring within a magnetohydrodynamic model. Arch. Ration. Mech. Anal. (2020) 235: 691-721.
    [4] On an inverse boundary problem arising in brain imaging. J. Differential Equations (2019) 267: 2471-2502.
    [5] Distributed adaptive consensus control of nonlinear output-feedback systems on directed graphs. Automatica J. IFAC (2016) 72: 46-52.
    [6] Stabilization of linear systems with limited information. IEEE Trans. Automat. Contr. (2001) 46: 1384-1400.
    [7] Exponential synchronization of nonlinearly coupled complex networks with hybrid time-varying delays via impulsive control. Nonlinear Dynam. (2016) 85: 621-632.
    [8] Fixed-time cluster synchronization of discontinuous directed community networks via periodically or aperiodically switching control. IEEE Access (2019) 7: 83306-83318.
    [9] Distributed networked control systems: A brief overview. Inf. Sci. (2017) 380: 117-131.
    [10] Cluster synchronization in nonlinear complex networks under sliding mode control. Nonlinear Dynam. (2016) 83: 739-749.
    [11] A linear continuous feedback control of Chua's circuit. Chaos Solitons Fract. (1997) 8: 1507-1516.
    [12] Synchronization of circular restricted three body problem with Lorenz hyper chaotic system using a robust adaptive sliding mode controller. Complexity (2013) 18: 58-64.
    [13] Finite-time synchronization for a class of dynamical complex networks with nonidentical nodes and uncertain disturbance. J. Syst. Sci. Complex. (2019) 32: 818-834.
    [14] J. Li, H. Liu and S. Ma, Determining a random Schrödinger operator: Both potential and source are random, preprint, arXiv: 1906.01240.
    [15] Determining a random Schrödinger equation with unknown source and potential. SIAM J. Math. Anal. (2019) 51: 3465-3491.
    [16] Event-triggered synchronization control for complex networks with uncertain inner coupling. Int. J. Gen. Syst. (2015) 44: 212-225.
    [17] Finite-time and fixed-time cluster synchronization with or without pinning control. IEEE Trans. Cybern. (2018) 48: 240-252.
    [18] Cluster synchronization in directed networks via intermittent pinning control. IEEE Trans. Neural Netw. (2011) 22: 1009-1020.
    [19] Finite/fixed-time robust stabilization of switched discontinuous systems with disturbances. Nonlinear Dynam. (2017) 90: 2057-2068.
    [20] Finite/fixed-time pinning synchronization of complex networks with stochastic disturbances. IEEE Trans. Cybern. (2019) 49: 2398-2403.
    [21] H. Liu and G. Uhlmann, Determining both sound speed and internal source in thermo- and photo-acoustic tomography, Inverse Problems, 31 (2015), 10pp. doi: 10.1088/0266-5611/31/10/105005
    [22] Uniqueness in an inverse acoustic obstacle scattering problem for both sound-hard and sound-soft polyhedral scatterers. Inverse Problems (2006) 22: 515-524.
    [23] Nonlinear feedback design for fixed-time stabilization of linear control systems. IEEE Trans. Automat. Control (2012) 57: 2106-2110.
    [24] Finite-time synchronization of multi-weighted complex dynamical networks with and without coupling delay. Neurocomputing (2018) 275: 1250-1260.
    [25] Finite-time synchronization for complex dynamic networks with semi-Markov switching topologies: An $H_{\infty}$ event-triggered control scheme. Appl. Math. Comput. (2019) 356: 235-251.
    [26] Finite-time synchronization of networks via quantized intermittent pinning control. IEEE Trans. Cybern. (2018) 48: 3021-3027.
    [27] Finite-time stabilization of switched dynamical networks with quantized couplings via quantized controller. Sci. China Technol. Sci. (2018) 61: 299-308.
    [28] W. Yin, W. Yang and H. Liu, A neural network scheme for recovering scattering obstacles with limited phaseless far-field data, J. Comput. Phys., 417 (2020), 18pp. doi: 10.1016/j.jcp.2020.109594
    [29] D. Zhang, Y. Guo, J. Li and H. Liu, Retrieval of acoustic sources from multi-frequency phaseless data, Inverse Problems, 34 (2018), 21pp. doi: 10.1088/1361-6420/aaccda
    [30] Fixed-time synchronization criteria for complex networks via quantized pinning control. ISA Trans. (2019) 91: 151-156.
    [31] Fixed-time stochastic synchronization of complex networks via continuous control. IEEE Trans. Cybern. (2019) 49: 3099-3104.
    [32] Finite-time synchronization of complex-valued neural networks with mixed delays and uncertain perturbations. Neural Process. Lett. (2017) 46: 271-291.
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