Abstract
The synchronization control problem of discrete-time switched neural networks is considered in this paper. Wherein, the switchings among subsystems are described by the mode-dependent persistent dwell-time switching rule. Due to restricted network bandwidth resources, a dynamic event-triggered mechanism is introduced to alleviate the frequency of data transmission. In addition, the activation function dividing method is utilized to make the result less conservative. Then, using Lyapunov stability theory, several sufficient criteria are obtained to ensure that the synchronization error system can achieve mean-square exponential stability and meet the specified passive performance under DoS attacks. Based on these criteria, the concrete form of controller gain is solved. Finally, numerical examples demonstrate the rationality and superiority of the proposed method.
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.References
Auge D, Hille J, Mueller E et al (2021) A survey of encoding techniques for signal processing in spiking neural networks. Neural Process Lett 53(6):4693–4710
Fan Y, Wang M, Sun G et al (2020) Quasi-time-dependent robust \(H_{\infty }\) static output feedback control for uncertain discrete-time switched systems with mode-dependent persistent dwell-time. J Franklin Inst 357(15):10329–10352
Girard A (2015) Dynamic triggering mechanisms for event-triggered control. IEEE Trans Autom Control 60(7):1992–1997
Guan C, Sun D, Fei Z et al (2018) Synchronization for switched neural networks via variable sampled-data control method. Neurocomputing 311:325–332
Herrero Á, Corchado E, Gastaldo P et al (2009) Neural projection techniques for the visual inspection of network traffic. Neurocomputing 72(16–18):3649–3658
Hespanha JP (2004) Uniform stability of switched linear systems: extensions of Lasalle’s invariance principle. IEEE Trans Autom Control 49(4):470–482
Huang Z, Shen H, Xia J et al (2019) Extended \(H_{\infty }\) synchronization control for switched neural networks with multi quantization densities based on a persistent dwell-time approach. Neural Process Lett 50(3):2821–2841
Jia H, Wang J, Chen X et al (2022) \(H_{\infty }\) synchronization of fuzzy neural networks based on a dynamic event-triggered sliding mode control method. Int J Control Autom 20(6):1882–1890
Kwan HK, Cai Y (1994) A fuzzy neural network and its application to pattern recognition. IEEE Trans Fuzzy Syst 2(3):185–193
Li F, Song S, Zhao J et al (2019) Synchronization control for Markov jump neural networks subject to HMM observation and partially known detection probabilities. Appl Math Comput 360:1–13
Li YX, Ba D, Tong S (2019) Event-triggered control design for nonlinear systems with actuator failures and uncertain disturbances. Int J Robust Nonlinear Control 29(17):6199–6211
Liu C, Liu W, Liu X et al (2015) Stability of switched neural networks with time delay. Nonlinear Dyn 79:2145–2154
Liu S, He H, Qi W et al (2022) Asynchronous control for discrete-time switched time-delay systems with mode-dependent persistent dwell-time. Int J Control Autom 20(4):1205–1214
Ma L, Wang Z, Cai C et al (2021) A dynamic event-triggered approach to \(H_{\infty }\) control for discrete-time singularly perturbed systems with time-delays and sensor saturations. IEEE Trans Syst Man Cybern Syst 51(11):6614–6625
Shen H, Huang Z, Yang X et al (2018) Quantized energy-to-peak state estimation for persistent dwell-time switched neural networks with packet dropouts. Nonlinear Dyn 93:2249–2262
Shen H, Huang Z, Cao J et al (2020) Exponential \(H_{\infty }\) filtering for continuous-time switched neural networks under persistent dwell-time switching regularity. IEEE Trans Cybern 50(6):2440–2449
Shen H, Xing M, Yan H et al (2022) Observer-based \(l_{2}\)-\(l_{\infty }\) control for singularly perturbed semi-Markov jump systems with an improved weighted TOD protocol. Sci China Inf Sci 65(9):1–2
Shen H, Hu X, Wang J et al (2023) Non-fragile \(H_{\infty }\) synchronization for Markov jump singularly perturbed coupled neural networks subject to double-layer switching regulation. IEEE Trans Neural Netw Learn Syst 34(5):2682–2692
Shi S, Shi Z, Fei Z et al (2018) Finite-time output feedback control for discrete-time switched linear systems with mode-dependent persistent dwell-time. J Franklin Inst 355(13):5560–5575
Su L, Ye D (2018) A cooperative detection and compensation mechanism against denial-of-service attack for cyber-physical systems. Inf Sci 444:122–134
Sultana A, Bardalai A, Sarma KK (2022) Salp swarm-artificial neural network based cyber-attack detection in smart grid. Neural Process Lett 54(4):2861–2883
Tan M, Li X, Liu Y (2019) Finite-time stability and synchronization of the coupled switched neural networks with nodes of different dimensions. Neural Process Lett 49:285–303
Wang J, Su L, Shen H et al (2017) Mixed \(H_{\infty }\)/passive sampled-data synchronization control of complex dynamical networks with distributed coupling delay. J Franklin Inst 354(3):1302–1320
Wang X, Ding D, Ge X et al (2022) Neural-network-based control for discrete-time nonlinear systems with denial-of-service attack: the adaptive event-triggered case. Int J Robust Nonlinear Control 32(5):2760–2779
Wu L, Feng Z, Zheng WX (2010) Exponential stability analysis for delayed neural networks with switching parameters: average dwell time approach. IEEE Trans Neural Netw 21(9):1396–1407
Wu Y, Cao J, Li Q et al (2017) Finite-time synchronization of uncertain coupled switched neural networks under asynchronous switching. Neural Netw 85:128–139
Xiong X, Tang R, Yang X (2019) Finite-time synchronization of memristive neural networks with proportional delay. Neural Process Lett 50:1139–1152
Zeng P, Deng F, Liu X et al (2021) Event-triggered \(H_{\infty }\) control for network-based uncertain Markov jump systems under DoS attacks. J Franklin Inst 358(6):2895–2914
Zhang L, Guo G (2021) Control of connected vehicles with event-triggered transmission and prescribed energy budget. J Franklin Inst 358(7):3651–3677
Zhang L, Zhuang S, Shi P et al (2015) Uniform tube based stabilization of switched linear systems with mode-dependent persistent dwell-time. IEEE Trans Autom Control 60(11):2994–2999
Zhao D, Wang Z, Ho DW et al (2021) Observer-based PID security control for discrete time-delay systems under cyber-attacks. IEEE Trans Syst Man Cybern Syst 51(6):3926–3938
Author information
Authors and Affiliations
Contributions
XW wrote the main manuscript text JX check the manuscript and polish the language LS and HS provide the funds and conduct the simulation work
Corresponding author
Ethics declarations
Conflict of interest
The authors declare no competing interests.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
This work is supported by the National Natural Science Foundation of China under Grants 62103005,62273006,62173001,61703004. The Natural Science Foundation for Distinguished Young Scholars of Higher Education Institutions of Anhui Province under grant 2022AH020034, the Natural Science Foundation for Excellent Young Scholars of Higher Education Institutions of Anhui Province under grant 2023AH030030,2022AH030049, the Major Natural Science Foundation of Higher Education Institutions of Anhui Province under grant KJ2020ZD28, Natural Science Foundation for Excellent Young Scholars of Anhui Province 2108085Y21, the Major Technologies Research and Development Special Program of Anhui Province under Grant 202003a05020001, the Key research and development projects of Anhui Province under Grant 202104a05020015, the Open Project of China International Science and Technology Cooperation Base on Intelligent Equipment Manufacturing in Special Service Environment under Grant ISTC2021KF04.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Wang, X., Xia, J., Su, L. et al. Dynamic Event-Triggered Passive Synchronization for Mode-Dependent Persistent Dwell-Time Switched Neural Networks Subject to DoS Attacks. Neural Process Lett 55, 12421–12436 (2023). https://doi.org/10.1007/s11063-023-11426-7
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11063-023-11426-7