© The Institution of Engineering and Technology
A multi-weighted coupled neural networks (MWCNNs) model with event-triggered communication is studied here. On the one hand, the passivity of the presented network model is studied by utilising Lyapunov stability theory and some inequality techniques, and a synchronisation criterion based on the obtained output-strict passivity condition of MWCNNs with event-triggered communication is derived. On the other hand, some robust passivity and robust synchronisation criteria based on output-strict passivity of the proposed network with uncertain parameters are presented. At last, two numerical examples are provided to testify the effectiveness of the output-strict passivity and robust synchronisation results.
References
-
-
1)
-
49. Tang, H.A., Wang, J.L., Wang, L., et al: ‘Impulsive control for passivity and exponential synchronization of coupled neural networks with multiple weights’, J. Franklin Inst., 2019, 356, (10), pp. 5434–5463.
-
2)
-
43. Qiu, S.H., Huang, Y.L., Ren, S.Y.: ‘Finite-time synchronization of multi-weighted complex dynamical networks with and without coupling delay’, Neurocomputing, 2018, 275, pp. 1250–1260.
-
3)
-
1. Bevelevich, V.: ‘Classical network synthesis’ (Van Nostrand, New York, 1968).
-
4)
-
34. Huang, Y.L., Ren, S.Y., Wu, J.G., et al: ‘Passivity and synchronization of switched coupled reaction-diffusion neural networks with non-delayed and delayed couplings’, Int. J. Comput. Math., 2019, 96, (9), pp. 1702–1722.
-
5)
-
35. Ren, S.Y., Wu, J.G., Wang, S.X., et al: ‘Passivity and pinning control of coupled neural networks with and without time-varying delay’, Trans. Inst. Meas. Control, 2017, 40, pp. 2708–2717.
-
6)
-
32. Cao, J.D., Chen, G.R., Li, P.: ‘Global synchronization in an array of delayed neural networks with hybrid coupling’, IEEE Trans. Syst. Man Cybern. B, Cybern., 2008, 38, pp. 488–498.
-
7)
-
51. Huang, Y., Chen, W., Ren, S., et al: ‘Analysis and pinning control for generalized synchronization of delayed coupled neural networks with different dimensional nodes’, J. Franklin Inst., 2018, 355, pp. 5968–5997.
-
8)
-
46. Wang, J.L., Xu, M., Wu, H.N., et al: ‘Passivity analysis and pinning control of multi-weighted complex dynamical networks’, IEEE Trans. Netw. Sci. Eng., 2019, 6, pp. 60–73.
-
9)
-
8. Forbes, J.R., Damaren, C.J.: ‘Hybrid passivity and finite gain stability theorem: stability and control of systems possessing passivity violations’, IET Control Theory Applic., 2010, 4, pp. 1795–1806.
-
10)
-
6. Fan, H., Zhao, Y., Feng, J.: ‘Cluster synchronisation in non-linearly coupled impulsive networks with non-identical nodes and time-varying delays’, IET Control Theory Applic., 2016, 10, pp. 762–771.
-
11)
-
44. Wang, Q., Wang, J.L., Huang, Y.L., et al: ‘Generalized lag synchronization of multiple weighted complex networks with and without time delay’, J. Franklin Inst., 2018, 355, pp. 6597–6616.
-
12)
-
29. Lin, S.R., Huang, Y.L., Wang, J.L., et al: ‘Passivity of coupled neural networks with different dimensional nodes’. 2018 IEEE 8th Annual Int. Conf. on CYBER Technology in Automation, Control, and Intelligent Systems (CYBER), Tianjin, China, 2018, pp. 775–780.
-
13)
-
21. Li, Y.Y.: ‘Impulsive synchronization of stochastic neural networks via controlling partial states’, Neural Process. Lett., 2016, 46, pp. 59–69.
-
14)
-
24. Zhu, F., Xia, M., Antsaklis, P.J.: ‘On passivity analysis and passivation of event-triggered feedback systems using passivity indices’, IEEE Trans. Autom. Control, 2017, 62, pp. 1397–1402.
-
15)
-
42. Li, L., Ho, D.W.C., Cao, J., et al: ‘Pinning cluster synchronization in an array of coupled neural networks under event-based mechanism’, Neural Netw., 2016, 76, pp. 1–12.
-
16)
-
11. Wang, J.L., Wu, H.N., Huang, T.: ‘Passivity-based synchronization of a class of complex dynamical networks with time-varying delay’, Automatica, 2015, 56, pp. 105–112.
-
17)
-
18. Fei, Z., Gao, H., Zheng, W.X.: ‘New synchronization stability of complex networks with an interval time-varying coupling delay’, IEEE Trans. Circuits Syst. II, Express Briefs, 2009, 56, pp. 499–503.
-
18)
-
23. Fei, Z., Wang, X., Liu, M., et al: ‘Reliable control for vehicle active suspension systems under event-triggered scheme with frequency range limitation’, IEEE Trans. Syst. Man Cybern., Syst., 2019, (10), Article in Press, doi: 10.1109/TSMC.2019.2899942.
-
19)
-
48. Wang, J.L., Xu, M., Wu, H.N., et al: ‘Finite-time passivity of coupled neural networks with multiple weights’, IEEE Trans. Netw. Sci. Eng., 2018, 5, pp. 184–197.
-
20)
-
15. Li, H., Liao, X., Chen, G., et al: ‘Event-triggered asynchronous intermittent communication strategy for synchronization in complex dynamical networks’, Neural Netw., 2015, 66, pp. 1–10.
-
21)
-
20. Guan, C., Fei, Z., Hamid, R.K., et al: ‘Finite-time H∞ synchronization for switched neural networks via quantized feedback control’, IEEE Trans. Syst. Man Cybern., Syst., 2019, Article in Press, doi: 10.1109/TSMC.2019.2917497.
-
22)
-
40. Huang, C., Wang, W., Cao, J., et al: ‘Synchronization-based passivity of partially coupled neural networks with event-triggered communication’, Neurocomputing, 2018, 319, pp. 134–143.
-
23)
-
45. Wang, J.L., Qin, Z., Wu, H.N., et al: ‘Analysis and pinning control for output synchronization and H∞ output synchronization of multiweighted complex networks’, IEEE Trans. Cybern., 2019, 49, pp. 1314–1326.
-
24)
-
28. Wang, J.L., Zhang, X.X., Wu, H.N., et al: ‘Finite-time passivity of adaptive coupled neural networks with undirected and directed topologies’, IEEE Trans. Cybern., 2018, Article in Press, doi: 10.1109/TCYB.2018.2882252.
-
25)
-
36. Tan, M.C.: ‘Stabilization of coupled time-delay neural networks with nodes of different dimensions’, Neural Process. Lett., 2016, 43, pp. 255–268.
-
26)
-
22. Wang, X., Fei, Z., Gao, H., et al: ‘Integral-based event-triggered fault detection filter design for unmanned surface vehicles’, IEEE Trans. Ind. Inf., 2019, 15, (10), pp. 5626–5636.
-
27)
-
16. Zhou, B., Liao, X., Huang, T.: ‘Event-based exponential synchronization of complex networks’, Cognit. Neurodyn., 2016, 10, pp. 423–436.
-
28)
-
7. Zhou, H., Li, W.: ‘Synchronisation of stochastic-coupled intermittent control systems with delays and Lévy noise on networks without strong connectedness’, IET Control Theory Applic., 2019, 13, pp. 36–49.
-
29)
-
33. Li, N., Cao, J.D.: ‘Passivity and robust synchronisation of switched interval coupled neural networks with time delay’, Int. J. Syst. Sci., 2016, 47, pp. 2827–2836.
-
30)
-
27. Issa, A.S., Chakravarty, A., Kar, I.: ‘Improved event-triggered adaptive control of non-linear uncertain networked systems’, IET Control Theory Applic., 2019, 13, pp. 2146–2152.
-
31)
-
41. Lv, S., He, W., Qian, F., et al: ‘Leaderless synchronization of coupled neural networks with the event-triggered mechanism’, Neural Netw., 2018, 105, pp. 316–327.
-
32)
-
4. Huang, C., Ho, D.W.C., Lu, J.Q., et al: ‘Pinning synchronization in T-S fuzzy complex networks with partial and discrete-time couplings’, IEEE Trans. Fuzzy Syst., 2015, 23, pp. 1274–1285.
-
33)
-
19. Fei, Z., Guan, C., Gao, H.: ‘Exponential synchronization of networked chaotic delayed neural network by a hybrid event trigger scheme’, IEEE Trans. Neural Netw. Learn. Syst., 2018, 29, pp. 2558–2567.
-
34)
-
25. Li, B., Wang, Z., Ma, L.: ‘An event-triggered pinning control approach to synchronization of discrete-time stochastic complex dynamical networks’, IEEE Trans. Neural Netw. Learn. Syst., 2018, 29, pp. 5812–5822.
-
35)
-
17. Dai, H., Chen, W., Jia, J., et al: ‘Exponential synchronization of complex dynamical networks with time-varying inner coupling via event-triggered communication’, Neurocomputing, 2017, 245, pp. 124–132.
-
36)
-
13. Wang, A., Dong, T., Liao, X.: ‘Event-triggered synchronization strategy for complex dynamical networks with the Markovian switching topologies’, Neural Netw., 2016, 74, pp. 52–57.
-
37)
-
54. Li, N., Cao, J.: ‘Periodically intermittent control on robust exponential synchronization for switched interval coupled networks’, Neurocomputing, 2014, 131, pp. 52–58.
-
38)
-
5. Huang, C., Ho, D.W.C., Lu, J.Q.: ‘Partial-information-based synchronization analysis for complex dynamical networks’, J. Franklin Inst., 2015, 352, pp. 3458–3475.
-
39)
-
37. Huang, Y.L., Xu, B.B., Ren, S.Y.: ‘Analysis and pinning control for passivity of coupled reaction-diffusion neural networks with nonlinear coupling’, Neurocomputing, 2018, 272, pp. 334–342.
-
40)
-
26. Nowzari, C., Garcia, E., Corts, J.: ‘Event-triggered communication and control of networked systems for multi-agent consensus’, Automatica, 2019, 105, pp. 1–27.
-
41)
-
52. Huang, Y., Qiu, S., Ren, S., et al: ‘Fixed-time synchronization of coupled Cohen-Grossberg neural networks with and without parameter uncertainties’, Neurocomputing, 2018, 315, pp. 157–168.
-
42)
-
31. Zhang, H., Gong, D., Chen, B., et al: ‘Synchronization for coupled neural networks with interval delay: a novel augmented Lyapunov–Krasovskii functional method’, IEEE Trans. Neural Netw. Learn. Syst., 2013, 24, pp. 58–70.
-
43)
-
9. Zhang, W., Li, C., Yang, S., et al: ‘Exponential synchronisation of complex networks with delays and perturbations via impulsive and adaptive control’, IET Control Theory Applic., 2019, 13, pp. 395–402.
-
44)
-
3. Wang, J.L., Wu, H.N., Huang, T., et al: ‘Passivity and output synchronization of complex dynamical networks with fixed and adaptive coupling strength’, IEEE Trans. Neural Netw. Learn. Syst., 2018, 29, pp. 364–376.
-
45)
-
47. Wang, J.L., Wei, P.C., Wu, H.N., et al: ‘Pinning synchronization of complex dynamical networks with multiweights’, IEEE Trans. Syst. Man Cybern., Syst., 2019, 49, (7), pp. 1357–1370.
-
46)
-
14. Hu, A., Cao, J., Hu, M., et al: ‘Cluster synchronization of complex networks via event-triggered strategy under stochastic sampling’, Phys. A, Stat. Mech. Appl., 2015, 434, pp. 99–110.
-
47)
-
38. Huang, Y.L., Qiu, S.H., Ren, S.Y.: ‘Finite-time synchronization and passivity of coupled memristive neural networks’, Int. J. Control, 2019, Article in Press, doi: 10.1080/00207179.2019.1566640.
-
48)
-
39. Huang, Y.L., Wang, S.X., Ren, S.Y.: ‘Pinning exponential synchronization and passivity of coupled delayed reaction-diffusion neural networks with and without parametric uncertainties’, Int. J. Control, 2019, 92, pp. 1167–1182.
-
49)
-
50. Lin, S., Huang, Y., Ren, S.: ‘Event-triggered passivity and synchronization of delayed multiple-weighted coupled reaction-diffusion neural networks with non-identical nodes’, Neural Networks, 2020, 121, pp. 259–275.
-
50)
-
12. Dong, Y., Chen, J.W., Xian, J.G.: ‘Event-triggered control for finite-time lag synchronisation of time-delayed complex networks’, IET Control Theory Applic., 2018, 12, pp. 1916–1923.
-
51)
-
2. Wang, J.L., Wu, H.N., Huang, T., et al: ‘Analysis and control of output synchronization in directed and undirected complex dynamical networks’, IEEE Trans. Neural Netw. Learn. Syst., 2018, 29, pp. 3326–3338.
-
52)
-
10. Yang, S., Li, C., Huang, T.: ‘State-dependent impulsive synchronisation of complex dynamical networks with non-linear coupling’, IET Control Theory Applic., 2018, 12, pp. 1189–1200.
-
53)
-
30. Zhang, W., Li, C., Huang, T., et al: ‘Synchronization of memristor-based coupling recurrent neural networks with time-varying delays and impulses’, IEEE Trans. Neural Netw. Learn. Syst., 2015, 26, pp. 3308–3313.
-
54)
-
53. Zheng, C., Cao, J.: ‘Robust synchronization of coupled neural networks with mixed delays and uncertain parameters by intermittent pinning control’, Neurocomputing, 2014, 141, pp. 153–159.
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