This paper investigates the exponential quasi-synchronization problem of complex dynamical networks with switched coupling strengths. First, a generalized Halanay’s inequality has been established, which further extends the existing result in Mazenc et al. This inequality not only allows the gain to surpass the decay rate but also helps to cope with quasi-synchronization of complex dynamical networks with switched coupling strengths. Then, in virtue of the obtained inequality, Lyapunov function, and some other important inequalities, sufficient criteria ensuring the quasi-synchronization for the considered system are derived analytically. A numerical example is provided to verify the feasibility of the results.
AnQFuXHuangD, et al. (2020) Analysis of adding-runs strategy for peak-hour regular bus services. Transportation Research Part E143: 102100.
2.
BuscarinoAFrascaMBranciforteM, et al. (2017) Synchronization of two Rössler systems with switching coupling. Nonlinear Dynamics88: 673–683.
3.
ChuXXuLHuH (2020) Exponential quasi-synchronization of conformable fractional-order complex dynamical networks. Chaos, Solitons and Fractals140: 110268.
4.
DingSWangZ (2017) Lag quasi-synchronization for memristive neural networks with switching jumps mismatch. Neural Computing and Applications28(12): 4011–4022.
5.
FengJChenJWangJ, et al. (2022) Synchronization of complex networks with hybrid delays based on event intermittent control. Journal of the Franklin359: 10966–10985.
6.
HeDBaoBHuH, et al. (2023) Asymptotic boundedness of conformable fractional delay differential systems. IEEE Transactions on Circuits and Systems II: Express Briefs70: 4186–4190
7.
HeWQianFHanQ, et al. (2019) Lag quasi-synchronization of coupled delayed systems with parameter mismatch. IEEE Transactions on Circuits and Systems I: Regular Papers58(6): 1345–1357.
8.
HeWQianFLamJ, et al. (2015) Quasi-synchronization of heterogeneous dynamic networks via distributed impulsive control: Error estimation, optimization and design. Automatica62: 249–262.
9.
HuangTLiCLiaoX (2007) Synchronization of a class of coupled chaotic delayed systems with parameter mismatch. Chaos17: 033121.
10.
HuiJHuCYuJ, et al. (2021) Intermittent control based exponential synchronization of inertial neural networks with mixed delays. Neural Processing Letters53: 3965–3979.
11.
LiXFangJLiH (2017) Master-slave exponential synchronization of delayed complex-valued memristor-based neural networks via impulsive control. Neural Networks93: 165–175.
12.
LiXWeiGDingD (2021) Distributed resilient interval estimation for sensor networks under aperiodic denial-of-service attacks and adaptive event-triggered protocols. Applied Mathematics and Computation409: 126371.
13.
LiYLiC (2016) Complete synchronization of delayed chaotic neural networks by intermittent control with two switches in a control period. Neurocomputing173: 1341–1347.
14.
LiuCZhouNZhanX, et al. (2020) Markov-based solution for information diffusion on adaptive social networks. Applied Mathematics and Computation380: 125286.
15.
LiuXChenTCaoJ, et al. (2011) Dissipativity and quasi-synchronization for neural networks with discontinuous activations and parameter mismatches. Neural Networks24(10): 1013–1021.
16.
LuoYYaoY (2019) Finite-time synchronization of uncertain complex dynamic networks with nonlinear coupling. Complexity2019: 9821063.
17.
LvXCaoJLiX, et al. (2021) Synchronization analysis for complex dynamical networks with coupling delay via event-triggered delayed impulsive control. IEEE Transactions on Cybernetics51(11): 5269–5278.
18.
MaJLiFHuangL, et al. (2011) Complete synchronization, phase synchronization and parameters estimation in a realistic chaotic system. Communications in Nonlinear Science and Numerical Simulation16: 3770–3785.
19.
MazencFMalisoffMKrsticM (2021) Stability and observer designs using new variants of Halanay’s inequality. Automatica123: 109299.
20.
PanLCaoJ (2012) Stochastic quasi-synchronization for delayed dynamical networks via intermittent control. Communications in Nonlinear Science and Numerical Simulation17: 1332–1343.
21.
PanLCaoJAl-JubooriUA, et al. (2019) Cluster synchronization of stochastic neural networks with delay via pinning impulsive control. Neurocomputing366: 109–117.
22.
ParasteshFAzarnoushHJafariS, et al. (2019) Synchronizability of two neurons with switching in the coupling. Applied Mathematics and Computation350: 217–223.
23.
RakkiyappanRDharaniS (2017) Sampled-data synchronization of randomly coupled reaction diffusion neural networks with markovian jumping and mixed delays using multiple integral approach. Neural Computing and Applications28(3): 449–462.
24.
ShiJZengZ (2020) Global exponential stabilization and lag synchronization control of inertial neural networks with time delays. Neural Networks126: 11–20.
SunSRenT (2021) Pinning synchronization control for multi-layer complex networks via adaptive fuzzy logic system. Transactions of the Institute of Measurement and Control43(15): 3388–3398.
27.
TangZParkJFengJ (2018) Impulsive effects on quasi-synchronization of neural networks with parameter mismatches and time-varying delay. IEEE Transactions on Neural Networks and Learning Systems29(4): 908–919.
28.
TangZParkJWangY, et al. (2019) Distributed impulsive quasi-synchronization of Lur’e networks with proportional delay. IEEE Transactions on Cybernetics49(8): 3105–3115.
29.
WangJLiuFQinS (2021) Exponential stabilization of memristor-based recurrent neural networks with disturbance and mixed time delays via periodically intermittent control. International Journal of Control Automation and Systems19(6): 2284–2296.
30.
WangLQianWWangQ (2013) Exponential synchronization in complex networks with a single coupling delay. Journal of the Franklin350(6): 1406–1423.
31.
WangXLiuXSheK, et al. (2017) Pinning impulsive synchronization of complex dynamical networks with various time-varying delay sizes. Nonlinear Analysis: Hybrid Systems26: 307–318.
32.
WangZXiaCChenZ, et al. (2020) Epidemic propagation with positive and negative preventive information in multiplex networks. IEEE Transactions on Cybernetics51(3): 1454–1462.
33.
WenLYuYWangW (2008) Generalized Halanay inequalities for dissipativity of Volterra functional differential equations. Journal of Mathematical Analysis and Applications: 347: 169–178.
34.
WuYLuRShiP, et al. (2018) Sampled-data synchronization of complex networks with partial couplings and T-S fuzzy nodes. IEEE Transactions on Fuzzy Systems26(2): 782–793.
35.
XinYLiYHuangX, et al. (2019) Quasi-synchronization of delayed chaotic memristive neural networks. IEEE Transactions on Cybernetics49(2): 712–718.
36.
XuDXuL (2010) New results for studying a certain class of nonlinear delay differential systems. IEEE Transactions on Automatic Control55(7): 1641–1645.
37.
XuDYangZ (2005) Impulsive delay differential inequality and stability of neural networks. Journal of Mathematical Analysis and Applications305: 107–120.
38.
XuDYangZ (2007) Attracting and invariant sets for a class of impulsive functional differential equations. Journal of Mathematical Analysis and Applications329: 1036–1044.
39.
XuLChuXHuH (2021) Quasi-synchronization analysis for fractional-order delayed complex dynamical networks. Mathematics and Computers in Simulation185: 594–613.
40.
XuRKaoYGaoM (2016) Finite-time synchronization of Markovian jump complex networks with generally uncertain transition rates. Transactions of the Institute of Measurement and Control39(1): 52–60.
41.
XuZShiPSuH, et al. (2018) Global H∞ pinning synchronization of complex networks with sampled-data communications. IEEE Transactions on Neural Networks and Learning Systems29(5): 1467–1476.
42.
YiCFengJWangJ, et al. (2019) Pinning synchronization of nonlinear and delayed coupled neural networks with multi-weights via aperiodically intermittent control. Neural Processing Letters49: 141–157.
43.
YuJHuCJiangH, et al. (2020a) Exponential and adaptive synchronization of inertial complex-valued neural networks: A non-reduced order and non-separation approach. Neural Networks124: 50–59.
44.
YuYWangXZhongS, et al. (2020b) Extended robust exponential stability of fuzzy switched memristive inertial neural networks with time-varying delays on mode-dependent destabilizing impulsive control protocol. IEEE Transactions on Neural Networks and Learning Systems32(1): 308–321.
45.
ZhaiSZhengW (2021) Dynamic behavior for social networks with state-dependent susceptibility and antagonistic interactions. Automatica129: 109652.
46.
ZhangGHuJZengZ (2019) New criteria on global stabilization of delayed memristive neural networks with inertial item. IEEE Transactions on Cybernetics50(6): 2770–2780.
47.
ZhangHZhangWMiaoQ, et al. (2019) Synchronization of switched coupled neural networks with distributed impulsive effects: An impulsive strength dependent approach. Neural Processing Letters50: 515–529.
