Abstract
In this paper, the exponential synchronization of a class of coupled neural network model under impulsive constraint control is presented. Under impulsive constraint control, several useful linear matrix inequalities (LMIs) are derived by applying Lyapunov function and generalized sector condition. Moreover, under impulsive partial constraint control, a novel sufficient condition guaranteeing exponential synchronization of coupled neural network model is presented. Finally, a numerical simulation is presented to verify the validity of the theoretical analysis results.
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References
Ding, L., Zheng, W.X., Guo, G.: Network-based practical set consensus of multi-agent systems subject to input saturation. Automatica 89, 316–324 (2018)
He, W., Qian, F., Cao, J.: Pinning-controlled synchronization of delayed neural networks with distributed-delay coupling via impulsive control. Neural Networks 85, 1–9 (2017)
Hu, T., Lin, Z.: Control Systems with Actuator Saturation: Analysis and Design. Springer Science & Business Media, New York (2001)
Huang, H., Li, D., Lin, Z., Xi, Y.: An improved robust model predictive control design in the presence of actuator saturation. Automatica 47(4), 861–864 (2011)
Huang, T., Chan, A., Huang, Y., Cao, J.: Stability of cohen-grossberg neural networks with time-varying delays. Neural Networks 20(8), 868–873 (2007)
Huang, T., Li, C., Duan, S., Starzyk, J.A.: Robust exponential stability of uncertain delayed neural networks with stochastic perturbation and impulse effects. IEEE Trans. Neural Netw. Learning Syst. 23(6), 866–875 (2012)
Huang, T., Li, C., Yu, W., Chen, G.: Synchronization of delayed chaotic systems with parameter mismatches by using intermittent linear state feedback. Nonlinearity 22(3), 569 (2009)
Li, C., Feng, G., Huang, T.: On hybrid impulsive and switching neural networks. IEEE Trans. Syst. Man Cybern. Part B 38(6), 1549–1560 (2008)
Li, H., Li, C., Huang, T.: Periodicity and stability for variable-time impulsive neural networks. Neural Networks 94, 24–33 (2017)
Li, H., Li, C., Huang, T., Ouyang, D.: Fixed-time stability and stabilization of impulsive dynamical systems. J. Frankl. Inst. 354(18), 8626–8644 (2017)
Li, H., Li, C., Huang, T., Zhang, W.: Fixed-time stabilization of impulsive cohen-grossberg BAM neural networks. Neural Networks 98, 203–211 (2018)
Li, H., Li, C., Zhang, W., Xu, J.: Global dissipativity of inertial neural networks with proportional delay via new generalized halanay inequalities. Neural Process. Lett., 1–19 (2018)
Li, L., Li, C., Li, H.: An analysis and design for time-varying structures dynamical networks via state constraint impulsive control. Int. J. Control, 1–9 (2018)
Li, L., Li, C., Li, H.: Fully state constraint impulsive control for non-autonomous delayed nonlinear dynamic systems. Nonlinear Anal. Hybrid Syst. 29, 383–394 (2018)
Li, Z., Fang, J., Huang, T., Miao, Q., Wang, H.: Impulsive synchronization of discrete-time networked oscillators with partial input saturation. Inf. Sci. 422, 531–541 (2018)
Lin, X., Li, X., Zou, Y., Li, S.: Finite-time stabilization of switched linear systems with nonlinear saturating actuators. J. Frankl. Inst. 351(3), 1464–1482 (2014)
Liu, D., Michel, A.N.: Stability analysis of systems with partial state saturation nonlinearities. IEEE Trans. Circuits Syst. I Fundam. Theory Appl. 43(3), 230–232 (1996)
Liu, X., Cao, J., Yu, W., Song, Q.: Nonsmooth finite-time synchronization of switched coupled neural networks. IEEE Trans. Cybern. 46(10), 2360–2371 (2016)
Rakkiyappan, R., Latha, V.P., Zhu, Q., Yao, Z.: Exponential synchronization of markovian jumping chaotic neural networks with sampled-data and saturating actuators. Nonlinear Anal. Hybrid Syst. 24, 28–44 (2017)
Seuret, A., da Silva Jr., J.M.G.: Taking into account period variations and actuator saturation in sampled-data systems. Syst. Control Lett. 61(12), 1286–1293 (2012)
Zhou, B., Gao, H., Lin, Z., Duan, G.: Stabilization of linear systems with distributed input delay and input saturation. Automatica 48(5), 712–724 (2012)
Zou, F., Nossek, J.A.: Bifurcation and chaos in cellular neural networks. IEEE Trans. Circuits Syst. I Fundam. Theory Appl. 40(3), 166–173 (1993)
Acknowledgments
This study was funded by National Natural Science Foundation of China (Nos. 61633011, 61374078), Qatar National Research Fund (No. NPRP 8-274-2-107), Graduate Student Research Innovation Project of Chongqing (No. CYB17076), Chongqing Research Program of Basic Research and Frontier Technology (No. cstc2015jcyjBX0052).
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Ouyang, D., Huang, T., Li, C., Chen, C., Li, H. (2018). Impulsive Constraint Control of Coupled Neural Network Model with Actual Saturation. In: Cheng, L., Leung, A., Ozawa, S. (eds) Neural Information Processing. ICONIP 2018. Lecture Notes in Computer Science(), vol 11307. Springer, Cham. https://doi.org/10.1007/978-3-030-04239-4_17
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DOI: https://doi.org/10.1007/978-3-030-04239-4_17
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