Discrete-time feedback control of highly nonlinear hybrid stochastic neural networks with non-differentiable delays

References

• Bahar, A., & Mao, X. (2004). Stochastic delay population dynamics. International Journal of Pure and Applied Mathematics, 11(4), 377–399.
   Google Scholar
• Deng, F., Luo, Q., & Mao, X. (2012). Stochastic stabilization of hybrid differential equations. Automatica, 48(9), 2321–2328. https://doi.org/10.1016/j.automatica.2012.06.044
   Web of Science ®Google Scholar
• Dong, H., & Mao, X. (2022). Advances in stabilization of highly nonlinear hybrid delay systems. Automatica, 136, Article 110086. https://doi.org/10.1016/j.automatica.2021.110086
   Web of Science ®Google Scholar
• Dong, H., Tang, J., & Mao, X. (2022). Stabilization of highly nonlinear hybrid stochastic differential delay equations with Lévy noise by delay feedback control. SIAM Journal on Control and Optimization, 60(6), 3302–3325. https://doi.org/10.1137/22M1480392
   Web of Science ®Google Scholar
• Fei, C., Fei, W., Mao, X., Xia, D., & Yan, L. (2020). Stabilization of highly nonlinear hybrid systems by feedback control based on discrete-time state observations. IEEE Transactions on Automatic Control, 65(7), 2899–2912. https://doi.org/10.1109/TAC.9
   Web of Science ®Google Scholar
• Fei, W., Hu, L., Mao, X., & Shen, M. (2017). Delay dependent stability of highly nonlinear hybrid stochastic systems. Automatica, 82, 165–170. https://doi.org/10.1016/j.automatica.2017.04.050
   Web of Science ®Google Scholar
• Hu, J., Mao, W., & Mao, X. (2023). Advances in nonlinear hybrid stochastic differential delay equations: Existence, boundedness and stability. Automatica, 147, Article 110682. https://doi.org/10.1016/j.automatica.2022.110682
   Web of Science ®Google Scholar
• Hu, L., Mao, X., & Shen, Y. (2013). Stability and boundedness of nonlinear hybrid stochastic differential delay equations. Systems & Control Letters, 62(2), 178–187. https://doi.org/10.1016/j.sysconle.2012.11.009
   Web of Science ®Google Scholar
• Huang, L., & Deng, F. (2008). Razumikhin-type theorems on stability of neutral stochastic functional differential equations. IEEE Transactions on Automatic Control, 53(7), 1718–1723. https://doi.org/10.1109/TAC.2008.929383
   Web of Science ®Google Scholar
• Li, B. (2017). A note on stability of hybrid stochastic differential equations. Applied Mathematics and Computation, 299(15), 45–57. https://doi.org/10.1016/j.amc.2016.11.034
   Google Scholar
• Li, Y., Dong, R., & Mao, X. (2023). Discrete-time feedback control for highly nonlinear hybrid stochastic systems with non-differentiable delays. Systems & Control Letters, 175, Article 105507. https://doi.org/10.1016/j.sysconle.2023.105507
   Web of Science ®Google Scholar
• Li, X., & Mao, X. (2020). Stabilisation of highly nonlinear hybrid stochastic differential delay equations by delay feedback control. Automatica, 112, Article 108657. https://doi.org/10.1016/j.automatica.2019.108657
   Web of Science ®Google Scholar
• Lu, J., Li, Y., Mao, X., & Pan, J. (2022). Stabilization of nonlinear hybrid stochastic delay systems by feedback control based on discrete-time state and mode observations. Applicable Analysis, 101(3), 1077–1100. https://doi.org/10.1080/00036811.2020.1769077
   Web of Science ®Google Scholar
• Mao, X. (1999). Stability of stochastic differential equations with Markovian switching. Stochastic Processes and Their Applications, 79(1), 45–67. https://doi.org/10.1016/S0304-4149(98)00070-2
   Web of Science ®Google Scholar
• Mao, X. (2007). Stochastic differential equations and applications (2nd ed.). Horwood Publishing.
   Google Scholar
• Mao, X. (2013). Stabilization of continuous-time hybrid stochastic differential equations by discrete-time feedback control. Automatica, 49(12), 3677–3681. https://doi.org/10.1016/j.automatica.2013.09.005
   Web of Science ®Google Scholar
• Mao, X., Lam, J., Xu, S., & Gao, H. (2006). Razumikhin method and exponential stability of hybrid stochastic delay interval systems. Journal of Mathematical Analysis and Applications, 314(1), 45–66. https://doi.org/10.1016/j.jmaa.2005.03.056
   Web of Science ®Google Scholar
• Mei, C., Fei, C., Fei, W., & Mao, X. (2020). Stabilisation of highly non-linear continuous-time hybrid stochastic differential delay equations by discrete-time feedback control. IET Control Theory & Applications, 14(2), 313–323. https://doi.org/10.1049/cth2.v14.2
   Web of Science ®Google Scholar
• Rajchakit, G., Chanthorn, P., Niezabitowski, M., Raja, R., Baleanu, D., & Pratap, A. (2020). Impulsive effects on stability and passivity analysis of memristor-based fractional-order competitive neural networks. Neurocomputing, 417(5), 290–301. https://doi.org/10.1016/j.neucom.2020.07.036
   Web of Science ®Google Scholar
• Rajchakit, G., Chanthorn, P., Kaewmesri, P., Sriraman, R., & Lim, C. (2020). Global mittag-leffler stability and stabilization analysis of fractional-order quaternion-valued memristive neural networks. Mathematics, 8(3), 422. https://doi.org/10.3390/math8030422
   Web of Science ®Google Scholar
• Rajchakit, G., Pratap, A., Raja, R., Cao, J., Alzabut, J., & Huang, C. (2019). Hybrid control scheme for projective lag synchronization of Riemann-Liouville sense fractional order memristive BAM neural networks with mixed delays. Mathematics, 7(8), 759. https://doi.org/10.3390/math7080759
   Web of Science ®Google Scholar
• Rajchakit, G., & Sriraman, R. (2021). Robust passivity and stability analysis of uncertain complex-valued impulsive neural networks with time-varying delays. Neural Processing Letters, 53(1), 581–606. https://doi.org/10.1007/s11063-020-10401-w
   Web of Science ®Google Scholar
• Shen, M., Fei, C., Fei, W., & Mao, X. (2019). Boundedness and stability of highly nonlinear hybrid neutral stochastic systems with multiple delays. Science China Information Sciences, 62, Article 202205. https://doi.org/10.1007/s11432-018-9755-7
   Web of Science ®Google Scholar
• Shi, B., Mao, X., & Wu, F. (2022). Stabilisation of hybrid system with different structures by feedback control based on discrete-time state observations. Nonlinear Analysis: Hybrid Systems, 45, Article 101198.
   Web of Science ®Google Scholar
• Song, R., Wang, B., & Zhu, Q. (2021). Stabilization by variable-delay feedback control for highly nonlinear hybrid stochastic differential delay equations. Systems & Control Letters, 157, Article 105041. https://doi.org/10.1016/j.sysconle.2021.105041
   Web of Science ®Google Scholar
• Wu, A., Yu, H., & Zeng, Z. (2024). Variable-delay feedback control for stabilisation of highly nonlinear hybrid stochastic neural networks with time- varying delays. International Journal of Control, 97(4), 744–755. https://doi.org/10.1080/00207179.2023.2168878
   Web of Science ®Google Scholar
• Zhang, T., Chen, H., Yuan, C., & Caraballo, T. (2019). On the asymptotic behavior of highly nonlinear hybrid stochastic delay differential equations. Discrete and Continuous Dynamical Systems-B, 24(10), 5355–5375.
   Google Scholar
• Zhu, F., Han, Z., & Zhang, J. (2012). Stability analysis of stochastic differential equations with Markovian switching. Systems & Control Letters, 61(12), 1209–1214. https://doi.org/10.1016/j.sysconle.2012.08.013
   Web of Science ®Google Scholar