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Finite-time synchronization of fractional-order fuzzy Cohen-Grossberg neural networks with time delay. (English) Zbl 1522.93164

MSC:

93D40 Finite-time stability
34K20 Stability theory of functional-differential equations
34K36 Fuzzy functional-differential equations
34K37 Functional-differential equations with fractional derivatives
93C42 Fuzzy control/observation systems
93C43 Delay control/observation systems
Full Text: DOI

References:

[1] A. Abdurahman, H. J. Jiang, Z. D. Teng, Finite-time synchronization for fuzzy cellular neural networks with time-varying delays, Fuzzy Sets and Systems, 297 (2016), 96-111. · Zbl 1386.93173
[2] H. Akca, V. Covachev, Z. Covacheva, Global asymptotic stability of Cohen-Grossberg neural networks of neutral type, Journal of Mathematical Sciences, 205(6) (2015), 719-732. · Zbl 1320.34100
[3] B. S. Chen, J. J. Chen, Razumikhin-type stability theorems for fractional-order differential systems and applications, Applied Mathematics and Computation, 254 (2015), 63-69. · Zbl 1410.34209
[4] L. P. Chen, C. Liu, R. C. Wu, Y. G. He, Y. Chai, Finite-time stability criteria for a class of fractional-order neural networks with delay, Neural Computing and Applications, 27(3) (2016), 549-556.
[5] J. J. Chen, Z. G. Zeng, P. Jiang, Global Mittag-Leffler stability and synchronization of memristor-based fractional-order neural networks, Neural Networks, 51 (2014), 1-8. · Zbl 1306.34006
[6] M. Cohen, S. Grossberg, Absolute stability of global pattern formation and parallel memory storage by competitive neural networks, IEEE Transactions on Systems, Man, and Cybernetics, 13(5) (1983), 815-826. · Zbl 0553.92009
[7] O. Faydasicok, New criteria for global stability of neutral-type Cohen-Grossberg neural networks with multiple delays, Neural Networks, 125 (2020), 330-337. · Zbl 1447.93253
[8] W. N. He, L. X. Chu, Exponential stability criteria for fuzzy bidirectional associative memory Cohen-Grossberg neural networks with mixed delays and impulses, Advances in Difference Equations, 61(1) (2017), 1-16. · Zbl 1422.92006
[9] R. Hilfer, Applications of fractional calculus in physics, World Scientific, Hackensack, 2000. · Zbl 0998.26002
[10] M. Hui, C. Wei, J. Zhang, H. H. C. Iu, N. Luo, R. Yao, L. Bai, Finite-time synchronization of memristor-based fractional-order Cohen-Grossberg neural networks, IEEE Access, 8 (2020), 73698-73713.
[11] J. G. Jian, W. L. Jiang, Lagrange exponential stability for fuzzy Cohen-Grossberg neural networks with time-varying delays, Fuzzy Sets and Systems, 277 (2015), 65-80. · Zbl 1392.93038
[12] J. G. Jian, P. Wan, Global exponential convergence of fuzzy complex-valued neural networks with time-varying delays and impulsive effects, Fuzzy Sets and Systems, 338 (2018), 23-39. · Zbl 1402.34080
[13] J. G. Jian, B. X. Wang, Global Lagrange stability for neutral-type Cohen-Grossberg BAM neural networks with mixed time-varying delays, Mathematics and Computers in Simulation, 116 (2015), 1-25. · Zbl 1540.34135
[14] J. G. Jian, K. Wu, B. X. Wang, Global Mittag-Leffler boundedness of fractional-order fuzzy quaternion-valued neural networks with linear threshold neurons, IEEE Transactions on Fuzzy Systems, 29(10) (2021), 3154-3164.
[15] Y. Q. Ke, C. F. Miao, Stability analysis of fractional-order Cohen-Grossberg neural networks with time delay, International Journal of Computer Mathematics, 92(6) (2015), 1102-1113. · Zbl 1321.82032
[16] A. A. Kilbas, H. M. Srivastava, J. J. Trujillo, Theory and applications of fractional differential equations, Elsevier, New York, 2006. · Zbl 1092.45003
[17] F. C. Kong, R. Rakkiyappan, Finite-time and fixed-time synchronization control of discontinuous fuzzy Cohen-Grossberg neural networks with uncertain external perturbations and mixed time delays, Fuzzy Sets and Systems, 411 (2021), 105-135. · Zbl 1467.93279
[18] F. C. Kong, Q. X. Zhu, T. W. Huang, New fixed-time stability lemmas and applications to the discontinuous fuzzy inertial neural networks, IEEE Transactions on Fuzzy Systems, 29 (2021), 3711-3722.
[19] F. C. Kong, Q. X. Zhu, R. Sakthivel, Finite-time and fixed-time synchronization control of fuzzy Cohen-Grossberg neural networks, Fuzzy Sets and Systems, 394 (2020), 87-109. · Zbl 1452.93018
[20] F. C. Kong, Q. X. Zhu, R. Sakthivel, Finite-time and fixed-time synchronization analysis of fuzzy Cohen-Grossberg neural networks with discontinuous activations and parameter uncertainties, European Journal of Control, 56 (2020), 179-190. · Zbl 1455.93176
[21] M. Krstic, I. Kanellakopoulos, P. V. Kokotovic, Nonlinear and adaptive control design, Wiley, New York, 1995. · Zbl 0763.93043
[22] N. Laskin, Fractional market dynamics, Physica A, 287(3) (2000), 482-492.
[23] H. L. Li, J. D. Cao, H. J. Jiang, A. Alsaedi, Graph theory-based finite-time synchronization of fractional-order complex dynamical networks, Journal of the Franklin Institute, 355(13) (2018), 5771-5789. · Zbl 1451.93341
[24] X. F. Li, J. A. Fang, W. B. Zhang, H. Y. Li, Finite-time synchronization of fractional-order memristive recurrent neural networks with discontinuous activation functions, Neurocomputing, 316 (2018), 284-293.
[25] L. L. Li, J. G. Jian, Exponential convergence and Lagrange stability for impulsive Cohen-Grossberg neural networks with time-varying delays, Journal of Computational and Applied Mathematics, 277 (2015), 23-35. · Zbl 1307.34117
[26] X. Peng, H. Q. Wu, J. D. Cao, Global nonfragile synchronization in finite time for fractional-order discontinuous neural networks with nonlinear growth activations, IEEE Transactions on Neural Networks and Learning Systems, 30(7) (2019), 2123-2137.
[27] X. Peng, H. Q. Wu, K. Song, J. X. Shi, Global synchronization in finite time for fractional-order neural networks with discontinuous activations and time delays, Neural Networks, 94 (2017), 46-54. · Zbl 1437.93116
[28] A. Pratap, R. Raja, J. Cao, C. P. Lim, O. Bagdasar, Stability and pinning synchronization analysis of fractional-order delayed Cohen-Grossberg neural networks with discontinuous activations, Applied Mathematics and Compu-tation, 359 (2019), 241-260. · Zbl 1428.92013
[29] R. Rakkiyappan, G. Velmurugan, J. Cao, Finite-time stability analysis of fractional-order complex-valued memristor-based neural networks with time delays, Nonlinear Dynamics, 78(4) (2014), 2823-2836. · Zbl 1331.34154
[30] S. Sevgen, New stability results for Takagi-Sugeno fuzzy Cohen-Grossberg neural networks with multiple delays, Neural Networks, 114 (2019), 60-66. · Zbl 1441.93233
[31] T. Takagi, M. Sugeno, Fuzzy identification of systems and its applications to modeling and control, IEEE Transac-tions on Systems, Man, and Cyberneticsm, 15(1) (1985), 116-132. · Zbl 0576.93021
[32] G. Velmurugan, R. Rakkiyappan, J. D. Cao, Finite-time synchronization of fractional-order memristor-based neural networks with time delays, Neural Networks, 73 (2016), 36-46. · Zbl 1398.34110
[33] P. Wan, J. G. Jian, Global Mittag-Leffler boundedness for fractional-order complex-valued Cohen-Grossberg neural networks, Neural Processing Letters, 49(1) (2019), 121-139.
[34] L. G. Wan, A. L. Wu, Mittag-Leffler stability analysis of fractional-order fuzzy Cohen-Grossberg neural networks with deviating argument, Advances in Difference Equations, 308(1) (2017), 1-19. · Zbl 1422.92011
[35] Z. L. Wang, D. S. Yang, T. D. Ma, N. Sun, Stability analysis for nonlinear fractional-order systems based on comparison principle, Nonlinear Dynamics, 75(1) (2014), 387-402. · Zbl 1281.34012
[36] R. Y. Xie, C. D. Li, Stability analysis on Cohen-Grossberg neural networks with saturated impulse inputs, Neural Processing Letters, 51(2) (2020), 1265-1283.
[37] S. Yang, C. Hu, J. Yu, H. J. Jiang, Exponential stability of fractional-order impulsive control systems with applica-tions in synchronization, IEEE Transactions on Cybernetics, 50(7) (2020), 3157-3168.
[38] X. J. Yang, Q. K. Song, Y. R. Liu, Z. J. Zhao, Finite-time stability analysis of fractional-order neural networks with delay, Neurocomputing, 152 (2015), 19-26.
[39] T. Yang, L. B. Yang, The global stability of fuzzy cellular neural networks, IEEE Transactions on Circuits and Systems, 43(10) (1996), 880-883.
[40] S. Yang, J. Yu, C. Hu, H. J. Jiang, Finite-time synchronization of memristive neural networks with fractional-order, IEEE Transactions on Systems, Man, and Cybernetics: Systems, 51(6) (2021), 3739-3750.
[41] W. R. Zhao, Global exponential stability analysis of Cohen-Grossberg neural networks with delays, Communications in Nonlinear Science and Numerical Simulation, 13(5) (2008), 847-856. · Zbl 1221.93207
[42] Y. H. Zhou, C. D. Li, L. Chen, T. W. Huang, Global exponential stability of memristive Cohen-Grossberg neural networks with mixed delays and impulse time window, Neurocomputing, 275 (2018), 2384-2391.
[43] Q. X. Zhu, J. D. Cao, Robust exponential stability of Markovian jump impulsive stochastic Cohen-Grossberg neural networks with mixed time delays, IEEE Transactions on Neural Networks, 21(8) (2010), 1314-1325.
[44] Q. X. Zhu, X. D. Li, Exponential and almost sure exponential stability of stochastic fuzzy delayed Cohen-Grossberg neural networks, Fuzzy Sets and Systems, 203 (2012), 74-94. · Zbl 1253.93135
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