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Języki publikacji
Abstrakty
This paper studies the problem of robust stability analysis for uncertain neutral-type neural networks with discrete and distributed delays. By constructing an appropriate Lyapunov- Krasovskii functional, new delay-dependent criteria are obtained. We utilized the free-weighting matrices approach and bounding lemmas to estimate the derivative of the Lyapunov-Krasovskii functional. The stability criterion are established in terms of linear matrix inequalities (LMIs). Finally, a numerical example is presented to illustrate the effectiveness of the proposed method.
Czasopismo
Rocznik
Tom
Strony
77--97
Opis fizyczny
Bibliogr. 36 poz.
Twórcy
autor
- New Horizon College of Engineering, Marathhalli, Bangalore, 560103, India
autor
- RNS Institute of Technology, Channasandra, Bangalore, 560098, India
autor
- Department of Mathematics, Thiruvalluvar University, Vellore - 632 115, Tamilnadu, India
Bibliografia
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- Arik, S. (2014) New criteria for global robust stability of delayed neural networks with norm-bounded uncertainties. IEEE Trans. Neural Netw. Learn. Syst. 25, 1045–1052.
- Balasubramaniam, P., Nagamani G. and Rakkiyappan, R. (2010) Global passivity analysis of interval neural networks with discrete and distributed delays of neutral type. Neural Processing Letters 32 (2), 109–130.
- Chen, J. Sun, J., Liu, G. and Rees, D. (2010) New delay-dependent stability criteria for neural networks with time-varying interval delay. Phys. Lett. A, 374, 4397-4405.
- Duan, W., Du, B., You, J. and Zou, Y.(2013) Synchronization criteria for neutral complex dynamic networks with interal time-varying coupling delays. Asian J. Cont. 15, 1385–1396.
- Feng, J., Xu, S.Y. and Zou, Y. (2009) Delay-dependent stability of neutral type neural networks with distributed delays. Neurocomputing 72, 2576-2580.
- Ge, C., Hu, C. and Guan, X. (2014) New delay-dependent stability criteria for neural networks with time-varying delay using delay-decomposition approach. IEEE Trans. Neural Netw. 25, 1378–1383.
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- Gu, K., Kharitonov, V. L. and Chen, J. (2003) Stability of time delay systems. Birkhäuser, Boston.
- Guo, W., Austin, F. and Chen, S. (2010) Global synchronization of nonlinearly coupled complex networks with non-delayed coupling. Commun. Nonlinear Sci. Numer. Simul., 15, 1631–1639.
- He, Y., Liu, G., Rees, D. and Wu, M. (2007) Stability analysis for neural networks with time-varying interval delay. IEEE Trans. Neural Netw., 18, 1850-1854.
- Kwon, O.M., Lee, S.M., Park, J.H. and Cha, E.J. (2012) New approaches on stability criteria for neural networks with interval time-varying delays. Appl. Math. Comput. 213, 9953-9964.
- Lee, S.M., Kwon, O.M. and Park, Ju H. (2010) A novel delay-dependent criterion for delayed neural networks of neutral type. Phys. Lett. A 374, 1843-1848.
- Li, Y., Zhong, S., Cheng, J., Shi, K. and Ren, J. (2016) New passivity criteria for uncertain neural networks with time-varying delay. Neurocomputing 171, 1003–1012.
- Liu, D. (1997) Cloning template design of cellular neural networks for associative memories. IEEE Trans. Circuit. Syst. 44, 646-650.
- Liu, P. (2009) Robust exponential stability for uncertain time-varying delay systems with delay dependence. J. Franklin Inst. 346, 958–968.
- Nagamani, G. and Balasubramaniam, P. (2012) Delay-dependent passivity criteria for uncertain switched neural networks of neutral type with interval time-varying delay. Physica Scripta 85 (4), 045010.
- Park, P., Ko, J. W. and Jeong, C. (2011) Reciprocally convex approach to stability of systems with time-varying delays. Automatica 47, 235-238.
- Petersen, I.R. (1987) A stabilization algorithm for a class of uncertain linear systems. Systems and Control Letters 8, 351-357.
- Ren, Y., Feng, Z. and Sun, G. (2016) Improved stability conditions for uncertain neutral-type systems with time-varying delays. Int. J. Syst. Sci. 47, 1982-1993.
- Saravanakumar, R., Syed Ali, M., Cao, J. and Huang, H. (2016) H1 state estimation of generalised neural networks with interval time-varying delays. International Journal of Systems Science 47 (16), 3888–3899.
- Shi, K., Zhu, H., Zhong, S., Zeng, Y. and Zhang, Y. (2015) New stability analysis for neutral type neural networks with discrete and distributed delays using a multiple integral approach. J. Franklin Inst. 352, 155-176.
- Song, Q. K. (2008) Exponential stability of recurrent neural networks with both time-varying delays and general activation functions via LMI approach. Neurocomputing, 71, 2823-2830.
- Sun, J., Liu, G.P., Chen, J. and Rees, D. (2009) Improved stability criteria for neural networks with time-varying delay. Phys. Lett. A, 373, 342-348.
- Syed Ali, M. (2011 ) Global asymptotic stability of stochastic fuzzy recurrent neural networks with mixed time-varying delays. Chin Phys B 20 (8), 080201.
- Syed Ali, M. (2014) Stability analysis ofMarkovian jumping stochastic Cohen–Grossberg neural networks with discrete and distributed time varying delays. Chinese Physics B 23 (6), 060702.
- Syed Ali, M., Saravanakumar, R. and Zhu, Q. (2015) Less conservative delay-dependent control of uncertain neural networks with discrete interval and distributed time-varying delays. Neurocomputing 66, 84–95.
- Syed Ali, M., Arik, S. and Saravanakmuar, R. (2015) Delay-dependent stability criteria of uncertain Markovian jump neural networks with discrete interval and distributed time-varying delays. Neurocomputing 158, 167–173.
- Syed Ali, M. and Saravanan, S. (2016) Robust finite-time H1 control for a class of uncertain switched neural networks of neutral-type with distributed time varying delays. Neurocomputing, 177, 454-468.
- Syed Ali, M., Saravanakumar, R., Ahn, C. K. and Karimi, H. R. (2017) Stochastic H1 filtering for neural networks with leakage delay and mixed time-varying delays. Information Sciences 388, 118–134.
- Syed Ali, M., Gunasekaran, N., Ahn, C.K. and Shi, P. (2018) Sampleddata stabilization for fuzzy genetic regulatory networks with leakage delays. IEEE/ACM Transactions on computational biology and bioinformatics, 15, 271-285.
- Tian, J. and Zhong, S.M. (2011) Improved delay-dependent stability criterion for neural networks with time-varying delay. Appl. Math. Comput. 217, 10278-10288.
- Tian, J. K., Xiong, W. J. and Xu, F. (2014) Improved delay-partitioning method to stability analysis for neural networks with discrete and distributed time-varying delays. Appl. Math. Comput. 233, 152–164.
- Thuan, M.V., Trinh, H. and Hien, L.V. (2016) New inequality-based approach to passivity analysis of neural networks with interval time-varying delay. Neurocomputing 194, 301–307.
- Wang, Y., Yang, C. and Zuo, Z. (2012) On exponential stability analysis for neural networks with time-varying delays and general activation functions. Commun. Nonlinear Sci. Numer. Simul. 17, 1447-1459.
- Zhang, Y., Yue, D. and Tian, E. (2009) New stability criteria of neural networks with interval time-varying delays: a piecewise delay method. Appl. Math. Comput. 208 249-259.
Uwagi
Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).
Typ dokumentu
Bibliografia
Identyfikator YADDA
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