References
- Applebaum, D. (2009). Lévy processes and stochastic calculus (2nd ed.). Cambridge University Press.
- Boccaletti, S., Latora, V., Moreno, Y., Chavez, M., & Hwang, D. U. (2006, February). Complex networks: Structure and dynamics. Physics Reports – Review Section of Physics Letters, 424(4–5), 175–308. https://doi.org/https://doi.org/10.1016/j.physrep.2005.10.009
- Gan, Q. T. (2012, September). Adaptive synchronization of stochastic neural networks with mixed time delays and reaction–diffusion terms. Nonlinear Dynamics, 69(4), 2207–2219. https://doi.org/https://doi.org/10.1007/s11071-012-0420-4
- Guo, Y., & Ding, X. H. (2017, October). Razumikhin method to global exponential stability for coupled neutral stochastic delayed systems on networks. Mathematical Methods in the Applied Sciences, 40(15), 5490–5501. https://doi.org/https://doi.org/10.1002/mma.v40.15
- Guo, Y., Wang, Y. D., & Ding, X. H. (2018, April). Global exponential stability for multi-group neutral delayed systems based on Razumikhin method and graph theory. Journal of the Franklin Institute – Engineering and Applied Mathematics, 355(6), 3122–3144. https://doi.org/https://doi.org/10.1016/j.jfranklin.2018.02.010
- Guo, B. B., Xiao, Y., & Zhang, C. P. (2017, December). A graph-theoretic method to stabilize the delayed coupled systems on networks based on periodically intermittent control. Mathematical Methods in the Applied Sciences, 40(18), 6760–6775. https://doi.org/https://doi.org/10.1002/mma.v40.18
- Guo, Y., Zhao, W., & Ding, X. H. (2019, February). Input-to-state stability for stochastic multi-group models with multi-dispersal and time-varying delay. Applied Mathematics and Computation, 343(1), 114–127. https://doi.org/https://doi.org/10.1016/j.amc.2018.07.058
- Hu, W., & Zhu, Q. X. (2019, August). Moment exponential stability of stochastic nonlinear delay systems with impulse effects at random times. International Journal of Robust and Nonlinear Control, 29, 3809–3820. https://doi.org/https://doi.org/10.1002/rnc.v29.12
- Hu, W., Zhu, Q. X., & Karimi, H. R. (2019a, November). On the pth moment integral input-to-state stability and input-to-state stability criteria for impulsive stochastic functional differential equations. International Journal of Robust and Nonlinear Control, 29(16), 5609–5620. https://doi.org/https://doi.org/10.1002/rnc.v29.16
- Hu, W., Zhu, Q. X., & Karimi, H. R. (2019b, December). Some improved Razumikhin stability criteria for impulsive stochastic delay differential systems. IEEE Transactions on Automatic Control, 64, 5207–5213. https://doi.org/https://doi.org/10.1109/TAC.9
- Jia, F. J., Lv, G. Y., & Zou, G. A. (2018, May). Dynamic analysis of a rumor propagation model with Lévy noise. Mathematical Methods in the Applied Sciences, 41(4), 1661–1673. https://doi.org/https://doi.org/10.1002/mma.v41.4
- Kunita, H. (2010, October). Itô's stochastic calculus: Its surprising power for applications. Stochastic Processes and Their Applications, 120(5), 622–652. https://doi.org/https://doi.org/10.1016/j.spa.2010.01.013
- Lee, D. H., Joo, Y. H., & Tak, M. H. (2013, June). Linear matrix inequality approach to local stability analysis of discrete-time Takagi-Sugeno fuzzy systems. IET Control Theory and Applications, 7(9), 1309–1318. https://doi.org/https://doi.org/10.1049/iet-cta.2013.0033
- Li, M. Y., & Shuai, Z. S. (2010, January). Global-stability problem for coupled systems of differential equations on networks. Journal of Differential Equations, 248(1), 1–20. https://doi.org/https://doi.org/10.1016/j.jde.2009.09.003
- Li, X. J., & Yang, G. H. (2017, May). Adaptive fault-tolerant synchronization control of a class of complex dynamical networks with general input distribution matrices and actuator faults. IEEE Transactions on Neural Networks and Learning Systems, 28(3), 559–569. https://doi.org/https://doi.org/10.1109/TNNLS.2015.2507183
- Li, S., Zhang, B. G., & Li, W. X. (2019, February). Stabilisation of multiweights stochastic complex networks with time-varying delay driven by G-Brownian motion via aperiodically intermittent adaptive control. International Journal of Control. https://doi.org/https://doi.org/10.1080/00207179.2019.1577562
- Li, W. X., Zhang, X. Q., & Zhang, C. M. (2015, May). A new method for exponential stability of coupled reaction diffusion systems with mixed delays: Combining Razumikhin method with graph theory. Journal of the Franklin Institute-Engineering and Applied Mathematics, 352(3), 1169–1191. https://doi.org/https://doi.org/10.1016/j.jfranklin.2014.12.012
- Lin, W., & Ma, H. F. (2010, April). Synchronization between adaptively coupled systems with discrete and distributed time-delays. IEEE Transactions on Automatic Control, 55(4), 819–830. https://doi.org/https://doi.org/10.1109/TAC.2010.2041993
- Liu, Y., Li, W. X., & Feng, J. Q. (2018, September). The stability of stochastic coupled systems with time-varying coupling and general topology structure. IEEE Transactions on Neural Networks and Learning Systems, 29(9), 4189–4200. https://doi.org/https://doi.org/10.1109/TNNLS.5962385
- Luo, Y. P., Ling, Z. M., & Yao, Y. J. (2019). Finite time synchronization for reactive diffusion complex networks via boundary control. IEEE Access, 7, 68628–68635. https://doi.org/https://doi.org/10.1109/Access.6287639
- Luo, Y. P., & Yao, Y. J. (2019, December). Finite-time synchronization of uncertain complex dynamic networks with nonlinear coupling. Complexity, 2019, 9821063. https://doi.org/https://doi.org/10.1155/2019/9821063
- Ni, J., Liu, L., Liu, C., & Liu, J. (2017, November). Fixed-time leader-following consensus for second-order multiagent systems with input delay. IEEE Transactions on Industrial Electronics, 64(11), 8635–8646. https://doi.org/https://doi.org/10.1109/TIE.2017.2701775
- Serdukova, L., Zheng, Y. Y., Duan, J. Q., & Kurths, J (2017, August). Metastability for discontinuous dynamical systems under Lévy noise: Case study on amazonian vegetation noise. Scientific Reports, 7, 9336. https://doi.org/https://doi.org/10.1038/s41598-017-07686-8
- Song, Y. L., Y. Y. Han, & Peng, Y. H. (2013, December). Stability and Hopf bifurcation in an unidirectional ring of n neurons with distributed delays. Neurocomputing, 121, 442–452. https://doi.org/https://doi.org/10.1016/j.neucom.2013.05.015
- Strogatz, S. H. (2001, March). Exploring complex networks. Nature, 410(6825), 268–276. https://doi.org/https://doi.org/10.1038/35065725
- Taormina, R., Chau, K. W., & Sethi, R. (2012, December). Artificial neural network simulation of hourly groundwater levels in a coastal aquifer system of the Venice lagoon. Engineering Applications of Artificial Intelligence, 25(8), 1670–1676. https://doi.org/https://doi.org/10.1016/j.engappai.2012.02.009
- Wang, Z., Andrews, M. A., Wu, Z. X., Wang, L., & Bauch, C. T. (2015, December). Coupled disease-behavior dynamics on complex networks: A review. Physics of Life Reviews, 15, 1–29. https://doi.org/https://doi.org/10.1016/j.plrev.2015.07.006
- Wang, P. F., Feng, J. Q., & Su, H. (2019, May). Stabilization of stochastic delayed networks with Markovian switching and hybrid nonlinear coupling via aperiodically intermittent control. Nonlinear Analysis: Hybrid Systems, 32, 115–130. https://doi.org/https://doi.org/10.1016/j.nahs.2018.11.003
- Wang, M. X., & W. X. Li (2019, November). Stability of random impulsive coupled systems on networks with Markovian switching. Stochastic Analysis and Applications, 37(6), 1107–1132. https://doi.org/https://doi.org/10.1080/07362994.2019.1643247
- Wang, Z. D., Liu, Y. R., Li, M. Z., & Liu, X. H. (2006, May). Stability analysis for stochastic Cohen-Grossberg neural networks with mixed time delays. IEEE Transactions on Neural Networks, 17(3), 814–820. https://doi.org/https://doi.org/10.1109/TNN.2006.872355
- Wang, P. F., Zhang, B. G., & Su, H. (2019, May). Stabilization of stochastic uncertain complex-valued delayed networks via aperiodically intermittent nonlinear control. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 49(3), 649–662. https://doi.org/https://doi.org/10.1109/TSMC.6221021
- Wu, Y. B., Zhu, J. L., & Li, W. X. (2019, August). Intermittent discrete observation control for synchronization of stochastic neural networks. IEEE Transactions on Cybernetics. https://doi.org/https://doi.org/10.1109/TCYB.2019.2930579
- Xia, W. H., Zhou, B. F., Luo, Y. P., & Liu, G. H. (2017). Exponential synchronization of a class of N-coupled complex partial differential systems with time-varying delay. Complexity, 5982365.
- Xu, Y., Feng, J., Li, J. J., & Zhang, H. Q. (2013, October). Stochastic bifurcation for a tumor-immune system with symmetric Lévy noise. Physica A: Statistical Mechanics and its Applications, 392(20), 4739–4748. https://doi.org/https://doi.org/10.1016/j.physa.2013.06.010
- Xu, Y., Li, Y. Z., & Li, W. X. (2019, April). Graph-theoretic approach to synchronization of fractional-order coupled systems with time-varying delays via periodically intermittent control. Chaos Solitons & Fractals, 121, 108–118. https://doi.org/https://doi.org/10.1016/j.chaos.2019.01.038
- Xu, Y., Zhou, H., & Li, W. X. (2020). Stabilisation of stochastic delayed systems with Lévy noise on networks via periodically intermittent control. International Journal of Control, 93(3), 505–518. https://doi.org/https://doi.org/10.1080/00207179.2018.1479538
- Yang, R. N., Zhang, Z. X., & Shi, P. (2010, December). Exponential stability on stochastic neural networks with discrete interval and distributed delays. IEEE Transactions on Neural Networks, 21(1), 169–175. https://doi.org/https://doi.org/10.1109/TNN.2009.2036610
- Yuan, C. G., & Mao, X. R. (2010, November–December). Stability of stochastic delay hybrid systems with jumps. European Journal of Control, 16(6), 595–608. https://doi.org/https://doi.org/10.3166/ejc.16.595-608
- Zhang, C. M., & Han, B. S (2020, January). Stability analysis of stochastic delayed complex networks with multi-weights based on Razumikhin technique and graph theory. Physica A: Statistical Mechanics and its Applications, 538, 122827. https://doi.org/https://doi.org/10.1016/j.physa.2019.122827
- Zhang, H., Lewis, F. L., & Qu, Z. (2012, July). Lyapunov, adaptive, and optimal design techniques for cooperative systems on directed communication graphs. IEEE Transactions on Industrial Electronics, 59(7), 3026–3041. https://doi.org/https://doi.org/10.1109/TIE.2011.2160140
- Zhang, C. M., Li, W. X., & Wang, K. (2015, August). Graph theory-based approach for stability analysis of stochastic coupled systems with Lévy noise on networks. IEEE Transactions on Neural Networks and Learning Systems, 26(8), 1698–1709. https://doi.org/https://doi.org/10.1109/TNNLS.2014.2352217
- Zhou, H., & Li, W. X. (2019, January). Synchronisation of stochastic-coupled intermittent control systems with delays and Lévy noise on networks without strong connectedness. IET Control Theory & Applications, 13(1), 36–49. https://doi.org/https://doi.org/10.1049/iet-cta.2018.5187
- Zhou, W. N., Yang, J., Yang, X. Q., Dai, A. D., Liu, H. S., & Fang, J. A. (2015, May). pth moment exponential stability of stochastic delayed hybrid systems with Lévy noise. Applied Mathematical Modelling, 39(18), 5650–5658. https://doi.org/https://doi.org/10.1016/j.apm.2015.01.025
- Zhou, H., Zhang, Y., & Li, W. X. (2019, July). Synchronization of stochastic Lévy noise systems on a multi-weights network and its applications of Chua's circuits. IEEE Transactions on Circuits and Systems I: Regular Papers, 66(7), 2709–2722. https://doi.org/https://doi.org/10.1109/TCSI.8919
- Zhou, L. W., Zhu, Q. Y., Wang, Z. J., Zhou, W. N., & Su, H. Y. (2017, December). Adaptive exponential synchronization of multislave time-delayed recurrent neural networks with Lévy noise and negime switching. IEEE Transactions on Neural Networks and Learning Systems, 28, 2885–2898. https://doi.org/https://doi.org/10.1109/TNNLS.2016.2609439
- Zhu, Q. X. (2014a, July). pth moment exponential stability of impulsive stochastic functional differential equations with Markovian switching. Journal of the Franklin Institute-Engineering and Applied Mathematics, 351, 3965–3986. https://doi.org/https://doi.org/10.1016/j.jfranklin.2014.04.001
- Zhu, Q. X. (2014b, August). Asymptotic stability in the pth moment for stochastic differential equations with Lévy noise. Journal of Mathematical Analysis and Applications, 416(1), 126–142. https://doi.org/https://doi.org/10.1016/j.jmaa.2014.02.016
- Zhu, Q. X. (2017). Razumikhin-type theorem for stochastic functional differential equations with Lévy noise and Markov switching. International Journal of Control, 90(8), 1703–1712. https://doi.org/https://doi.org/10.1080/00207179.2016.1219069
- Zhu, Q. X. (2018, August). Stability analysis of stochastic delay differential equations with Lévy noise. Systems & Control Letters, 118, 62–68. https://doi.org/https://doi.org/10.1016/j.sysconle.2018.05.015
- Zhu, Q. X., Xi, F. B., & Li, X. D. (2012, July). Robust exponential stability of stochastically nonlinear jump systems with mixed time delays. Journal of Optimization Theory and Applications, 154(1), 154–174. https://doi.org/https://doi.org/10.1007/s10957-012-9997-5
- Zou, X. L., Zheng, Y. T., Zhang, L. R., & Lv, J. L (2020, April). Survivability and stochastic bifurcations for a stochastic Holling type II predator-prey model. Communications in Nonlinear Science and Numerical Simulation, 83, 105136. https://doi.org/https://doi.org/10.1016/j.cnsns.2019.105136