56
Views
0
CrossRef citations to date
0
Altmetric
Research Article

Hybrid impulses for almost sure quasi-synchronization of stochastic complex networks: an indefinite Lyapunov function method

, & ORCID Icon
Received 29 Apr 2021, Accepted 29 Dec 2023, Published online: 15 Apr 2024

References

  • Wang, J.-L., Qin, Z., Wu, H.-N., Huang, T., Wei, P.-C. (2019). Analysis and pinning control for output synchronization and ℋ∞ output synchronization of multiweighted complex networks. IEEE Trans. Cybern. 49(4): 1314–1326. doi:10.1109/TCYB.2018.2799969. 29994390
  • Hu, C., He, H., Jiang, H. (2020). Synchronization of complex-valued dynamic networks with intermittently adaptive coupling: a direct error method. Automatica. 112:12.
  • Li, X.-J., Yang, G.-H. (2017). Adaptive fault-tolerant synchronization control of a class of complex dynamical networks with general input distribution matrices and actuator faults. IEEE Trans. Neural Netw. Learn. Syst. 28(3): 559–569. doi:10.1109/TNNLS.2015.2507183. 26731779
  • Li, H.-L., Hu, C., Cao, J., Jiang, H., Alsaedi, A. (2019). Quasi-projective and complete synchronization of fractional-order complex-valued neural networks with time delays. Neural Netw. 118: 102–109. doi:10.1016/j.neunet.2019.06.008. 31254765
  • Wang, M., Xie, Y., Qin, S. An adaptive memristor-programming neurodynamic approach to nonsmooth nonconvex optimization problems. IEEE Trans. Syst. Man Cybern.-Syst. 53(11): 6474–6855. doi:10.1109/TSMC.2023.3287237.
  • Xu, Yao., Li, W., Zhang, C., Li, W., (2023). Global bipartite synchronization of fractional-order time-varying coupled signed networks with proportional delays. Commun. Nonlinear Sci. Numer. Simul. 126: 107452. doi:10.1016/j.cnsns.2023.107452.
  • Xu, D., Wang, X., Su, H. (2023). Delay event-triggered control for stability analysis of complex networks. IEEE Trans. Circuits Syst. II. 70(3): 1104–1108. doi:10.1109/TCSII.2022.3217066.
  • Liu, M., Zhu, Yu. (2018). Stationary distribution and ergodicity of a stochastic hybrid competition model with Lévy jumps. Nonlinear Anal. Hybrid Syst. 30: 225–239. doi:10.1016/j.nahs.2018.05.002.
  • Ren, Y., Yin, W., Sakthivel, R. (2018). Stabilization of stochastic differential equations driven by G-Brownian motion with feedback control based on discrete-time state observation. Automatica. 95: 146–151. doi:10.1016/j.automatica.2018.05.039.
  • Wu, Y., Sun, Z., Ran, G., Xue, Lei. (2023). Intermittent control for fixed-time synchronization of coupled networks. IEEE/CAA J. Autom. Sin. 10(6): 1488–1490. doi:10.1109/JAS.2023.123363.
  • Liu, Y., Li, Y.-M., Wang, J.-L. Intermittent control to stabilization of stochastic highly nonlinear coupled systems with multiple time delays. IEEE Trans. Neural Netw. Learn. Syst. 34(8): 4674–4686. doi:10.1109/TNNLS.2021.3113508.
  • Chen, H., Shi, P., Lim, C.-C. (2020). Synchronization control for neutral stochastic delay Markov networks via single pinning impulsive strategy. IEEE Trans. Syst. Man. Cybern, Syst. 50(12): 5406–5419. doi:10.1109/TSMC.2018.2882836.
  • Zhou, H., Ding, K., Park, J. H., Li, W. Periodic self-triggered impulsive synchronization of hybrid stochastic complex-valued delayed networks. IEEE Trans. Control Netw. Syst. 11(1): 42–52. doi:10.1109/TCNS.2023.3269005.
  • Zhang, Wei., Huang, J., Wei, P. (2011). Weak synchronization of chaotic neural networks with parameter mismatch via periodically intermittent control. Appl. Math. Modell. 35(2): 612–620. doi:10.1016/j.apm.2010.07.009.
  • Chen, S., Cao, J. (2012). Projective synchronization of neural networks with mixed time-varying delays and parameter mismatch. Nonlinear Dyn 67(2): 1397–1406. doi:10.1007/s11071-011-0076-5.
  • Rao, H., Xu, Y., Peng, Hui., Lu, R., Su, C.-Y. (2020). Quasi-synchronization of time delay Markovian jump neural networks with impulsive-driven transmission and fading channels. IEEE Trans. Cybern. 50(9): 4121–4131. doi:10.1109/TCYB.2019.2941582. 31670689
  • Kandasamy, U., Li, X., Rajan, R. (2020). Quasi-synchronization and bifurcation results on fractional-order quaternion-valued neural networks. IEEE Trans. Neural Netw. Learn. Syst. 31(10): 4063–4072. doi:10.1109/TNNLS.2019.2951846. 31831443
  • Song, Y., Zeng, Z., Sun, W., Jiang, F. (2020). Quasi-synchronization of stochastic memristor-based neural networks with mixed delays and parameter mismatches. Neural Comput. Appl. 32(9): 4615–4628. doi:10.1007/s00521-018-3772-y.
  • Pan, L., Cao, J. (2012). Stochastic quasi-synchronization for delayed dynamical networks via intermittent control. Commun. Nonlinear Sci. Numer. Simul. 17(3): 1332–1343. doi:10.1016/j.cnsns.2011.07.010.
  • Pan, L. (2020). Stochastic quasi-synchronization of delayed neural networks: Pinning impulsive scheme. Neural Process. Lett. 51(1): 947–962. doi:10.1007/s11063-019-10118-5.
  • Hasminskii, R. Z. (1981). Stochastic Stability of Differential Equations. Heidelberg: Sijthoff & Noordhoff.
  • Mao, X. (1994). Stochastic stabilization and destabilization. Systems & Control Letters. 23(4):279–290. doi:10.1016/0167-6911(94)90050-7.
  • Mao, X. (2008). Stochastic Differential Equations and Applications, 2nd ed. Chichester: Horwood Publishing Limited.
  • Li, S., Yao, X., Li, W. (2020). Almost sure exponential stabilization of hybrid stochastic coupled systems via intermittent noises: A higher-order nonlinear growth condition. J. Math. Anal. Appl. 489(1): 23.
  • Cheng, Pei., Deng, F., Yao, F. (2018). Almost sure exponential stability and stochastic stabilization of stochastic differential systems with impulsive effects. Nonlinear Anal. Hybrid Syst. 30: 106–117. doi:10.1016/j.nahs.2018.05.003.
  • Russo, G., Shorten, R. (2018). On common noise-induced synchronization in complex networks with state-dependent noise diffusion processes. Physica D. 369: 47–54. doi:10.1016/j.physd.2018.01.003.
  • Fan, G., Russo, G., Bressloff, P. C. (2019). Node-to-node and node-to-medium synchronization in quorum sensing networks affected by state-dependent noise. SIAM J. Appl. Dyn. Syst. 18(4): 1934–1953. doi:10.1137/19M1249515.
  • Russo, G., Wirth, F., Shorten, R. (2019). On synchronization in continuous-time networks of nonlinear nodes with state-dependent and degenerate noise diffusion. IEEE Trans. Automat. Contr. 64(1): 389–395. doi:10.1109/TAC.2018.2829462.
  • Sun, Y., Zhao, D. (2012). Effects of noise on the outer synchronization of two unidirectionally coupled complex dynamical networks. Chaos. 22(2): 10.
  • Li, S., Zhao, J., Ding, X. Quasi sure consensus of multi-agent systems: G-noise communication protocols under DoS attacks. IEEE Trans. Control Netw. Syst. 10(2): 1018–31. doi:10.1109/TCNS.2022.3214772.
  • Zhou, B. (2016). On asymptotic stability of linear time-varying systems. Automatica. 68: 266–276. doi:10.1016/j.automatica.2015.12.030.
  • Zhao, T., Zhou, B., Michiels, W. (2018). Stability analysis of linear time-varying time-delay systems by non-quadratic Lyapunov functions with indefinite derivatives. Syst. Control Lett. 122: 77–85. doi:10.1016/j.sysconle.2018.09.012.
  • Lu, J., She, Z., Feng, W., Ge, S. S. (2019). Stabilizability of time-varying switched systems based on piecewise continuous scalar functions. IEEE Trans. Automat. Contr. 64(6): 2637–2644. doi:10.1109/TAC.2018.2867933.
  • Zhou, B., Zhao, T. (2017). On asymptotic stability of discrete-time linear time-varying systems. IEEE Trans. Automat. Contr. 62(8): 4274–4281. doi:10.1109/TAC.2017.2689499.
  • Hu, W., Zhu, Q. (2020). Stability analysis of impulsive stochastic delayed differential systems with unbounded delays. Syst. Control Lett. 136: 104606 doi:10.1016/j.sysconle.2019.104606.
  • Wu, X., Tang, Y., Cao, J. (2019). Input-to-state stability of time-varying switched systems with time delays. IEEE Trans. Automat. Contr. 64(6): 2537–2544. doi:10.1109/TAC.2018.2867158.
  • Lu, J., Ho, D. W., Cao, J. (2010). A unified synchronization criterion for impulsive dynamical networks. Automatica. 46(7): 1215–1221. doi:10.1016/j.automatica.2010.04.005.
  • Wang, P., Wang, W., Su, H., Feng, J. (2020). Stability of stochastic discrete-time piecewise homogeneous Markov jump systems with time delay and impulsive effects. Nonlinear Anal. Hybrid Syst. 38: 14.
  • Wang, N., Li, X., Lu, J., Alsaadi, F. E. (2018). Unified synchronization criteria in an array of coupled neural networks with hybrid impulses. Neural Netw. 101: 25–32. doi:10.1016/j.neunet.2018.01.017. 29475143
  • Kan, Yu., Lu, J., Qiu, J., Kurths, J. (2019). Exponential synchronization of time-varying delayed complex-valued neural networks under hybrid impulsive controllers. Neural Netw. 114: 157–163. doi:10.1016/j.neunet.2019.02.006. 30974391
  • Wang, W., Huang, C., Huang, C., Cao, J., Lu, J., Wang, L. (2020). Bipartite formation problem of second-order nonlinear multi-agent systems with hybrid impulses. Appl. Math. Comput. 370: 17.
  • Li, X., Yang, X., Huang, T. (2019). Persistence of delayed cooperative models: Impulsive control method. Appl. Math. Comput. 342: 130–146. doi:10.1016/j.amc.2018.09.003.
  • Li, C., Wu, S., Feng, G. G., Liao, X. (2011). Stabilizing effects of impulses in discrete-time delayed neural networks. IEEE Trans. Neural Netw. 22(2): 323–329. doi:10.1109/TNN.2010.2100084. 21233048
  • Li, C., Feng, G., Huang, T. (2008). On hybrid impulsive and switching neural networks. IEEE Trans. Syst. Man Cybern. Part B-Cybern. 38(6): 1549–1560.
  • Liu, H., Wang, X. (2011). Color image encryption using spatial bit-level permutation and high-dimension chaotic system. Opt. Commun. 284(16-17): 3895–3903. doi:10.1016/j.optcom.2011.04.001.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.