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Volumn 251, Issue , 2015, Pages 14-23

Finite-time stability of a class of non-autonomous neural networks with heterogeneous proportional delays

Author keywords

Finite time stability; M matrix; Non autonomous systems; Proportional delays

Indexed keywords

DISCRETE TIME CONTROL SYSTEMS; NEURAL NETWORKS;

EID: 84913556570     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2014.11.044     Document Type: Article
Times cited : (66)

References (43)
  • 1
    • 0024092072 scopus 로고
    • Cellular neural networks: Applications
    • L.O. Chua, L. Yang, Cellular neural networks: applications, IEEE Trans. Circuits Syst. 35 (1988) 1273-1290.
    • (1988) IEEE Trans. Circuits Syst. , vol.35 , pp. 1273-1290
    • Chua, L.O.1    Yang, L.2
  • 5
    • 84901438357 scopus 로고    scopus 로고
    • New criteria for global robust stability of delayed neural networks with norm-bounded uncertainties
    • S. Arik, New criteria for global robust stability of delayed neural networks with norm-bounded uncertainties, IEEE Trans. Neural Netw. Learn. Syst. 25 (2014) 1045-1052.
    • (2014) IEEE Trans. Neural Netw. Learn. Syst. , vol.25 , pp. 1045-1052
    • Arik, S.1
  • 6
    • 0028468031 scopus 로고
    • How delays affect neural dynamics and learning
    • P. Baldi, A.F. Atiya, How delays affect neural dynamics and learning, IEEE Trans. Neural Networks 5 (1994) 612-621.
    • (1994) IEEE Trans. Neural Networks , vol.5 , pp. 612-621
    • Baldi, P.1    Atiya, A.F.2
  • 7
    • 0036722564 scopus 로고    scopus 로고
    • Harmless delays in Cohen-Grossberg neural networks
    • L. Wang, X.F. Zou, Harmless delays in Cohen-Grossberg neural networks, Phys. D 170 (2002) 162-173.
    • (2002) Phys. D , vol.170 , pp. 162-173
    • Wang, L.1    Zou, X.F.2
  • 8
    • 33751528524 scopus 로고    scopus 로고
    • Further result on asymptotic stability criterion of cellular neural networks with time-varying discrete and distributed delays
    • J.H. Park, Further result on asymptotic stability criterion of cellular neural networks with time-varying discrete and distributed delays, Appl. Math. Comput. 182 (2006) 1661-1666.
    • (2006) Appl. Math. Comput. , vol.182 , pp. 1661-1666
    • Park, J.H.1
  • 9
    • 38349133318 scopus 로고    scopus 로고
    • Periodic solutions and exponential stability for shunting inhibitory cellular neural networks with continuously distributed delays
    • L.V. Hien, T.T. Loan, D.A. Tuan, Periodic solutions and exponential stability for shunting inhibitory cellular neural networks with continuously distributed delays, Electron. J. Differ. Equ. 2008 (2008) 1-10.
    • (2008) Electron. J. Differ. Equ. , vol.2008 , pp. 1-10
    • Hien, L.V.1    Loan, T.T.2    Tuan, D.A.3
  • 10
    • 58549084830 scopus 로고    scopus 로고
    • New stability criteria of neural networks with interval time-varying delay: A piecewise delay method
    • Y. Zhang, D. Yue, E. Tian, New stability criteria of neural networks with interval time-varying delay: a piecewise delay method, Appl. Math. Comput. 208 (2009) 249-259.
    • (2009) Appl. Math. Comput. , vol.208 , pp. 249-259
    • Zhang, Y.1    Yue, D.2    Tian, E.3
  • 11
    • 78149362231 scopus 로고    scopus 로고
    • New passivity analysis for neural networks with discrete and distributed delays
    • H. Li, H. Gao, P. Shi, New passivity analysis for neural networks with discrete and distributed delays, IEEE Trans. Neural Networks 21 (2010) 1842-1847.
    • (2010) IEEE Trans. Neural Networks , vol.21 , pp. 1842-1847
    • Li, H.1    Gao, H.2    Shi, P.3
  • 12
    • 77954562851 scopus 로고    scopus 로고
    • Exponential stabilization of neural networks with various activation functions and mixed time-varying delays
    • V.N. Phat, H. Trinh, Exponential stabilization of neural networks with various activation functions and mixed time-varying delays, IEEE Trans. Neural Networks 21 (2010) 1180-1184.
    • (2010) IEEE Trans. Neural Networks , vol.21 , pp. 1180-1184
    • Phat, V.N.1    Trinh, H.2
  • 13
    • 79952002325 scopus 로고    scopus 로고
    • Passivity-based control for Hopfield neural networks using convex representation
    • D.H. Ji, J.H. Koo, S.C. Won, S.M. Lee, J.H. Park, Passivity-based control for Hopfield neural networks using convex representation, Appl. Math. Comput. 217 (2011) 6168-6175.
    • (2011) Appl. Math. Comput. , vol.217 , pp. 6168-6175
    • Ji, D.H.1    Koo, J.H.2    Won, S.C.3    Lee, S.M.4    Park, J.H.5
  • 14
    • 84860430838 scopus 로고    scopus 로고
    • New approaches on stability criteria for neural networks with interval time-varying delays
    • O.M. Kwon, S.M. Lee, J.H. Park, E.J. Cha, New approaches on stability criteria for neural networks with interval time-varying delays, Appl. Math. Comput. 218 (2012) 9953-9964.
    • (2012) Appl. Math. Comput. , vol.218 , pp. 9953-9964
    • Kwon, O.M.1    Lee, S.M.2    Park, J.H.3    Cha, E.J.4
  • 15
    • 84856402045 scopus 로고    scopus 로고
    • Synchronization criteria for coupled neural networks with interval time-varying delays and leakage delay
    • M.J. Park, O.M. Kwon, J.H. Park, S.M. Lee, E.J. Cha, Synchronization criteria for coupled neural networks with interval time-varying delays and leakage delay, Appl. Math. Comput. 218 (2012) 6762-6775.
    • (2012) Appl. Math. Comput. , vol.218 , pp. 6762-6775
    • Park, M.J.1    Kwon, O.M.2    Park, J.H.3    Lee, S.M.4    Cha, E.J.5
  • 16
    • 84876518585 scopus 로고    scopus 로고
    • Stability criteria for BAM neural networks with leakage delays and probabilistic timevarying delays
    • S. Lakshmanan, J.H. Park, T.H. Lee, H.Y. Jung, R. Rakkiyappan, Stability criteria for BAM neural networks with leakage delays and probabilistic timevarying delays, Appl. Math. Comput. 219 (2013) 9408-9423.
    • (2013) Appl. Math. Comput. , vol.219 , pp. 9408-9423
    • Lakshmanan, S.1    Park, J.H.2    Lee, T.H.3    Jung, H.Y.4    Rakkiyappan, R.5
  • 17
    • 84877949653 scopus 로고    scopus 로고
    • ∞ control of neural networks with time-varying delays
    • ∞ control of neural networks with time-varying delays, Neural Comput. Appl. 22 (2013) 323-331.
    • (2013) Neural Comput. Appl. , vol.22 , pp. 323-331
    • Phat, V.N.1    Trinh, H.2
  • 18
    • 84878379928 scopus 로고    scopus 로고
    • Stochastic sampled-data control for state estimation of time-varying delayed neural networks
    • T.H. Lee, J.H. Park, O.M. Kwon, S.M. Lee, Stochastic sampled-data control for state estimation of time-varying delayed neural networks, Neural Networks 46 (2013) 99-108.
    • (2013) Neural Networks , vol.46 , pp. 99-108
    • Lee, T.H.1    Park, J.H.2    Kwon, O.M.3    Lee, S.M.4
  • 20
    • 84896033434 scopus 로고    scopus 로고
    • An improved robust stability result for uncertain neural networks with multiple time delays
    • S. Arik, An improved robust stability result for uncertain neural networks with multiple time delays, Neural Networks 54 (2014) 1-10.
    • (2014) Neural Networks , vol.54 , pp. 1-10
    • Arik, S.1
  • 21
    • 84893009784 scopus 로고    scopus 로고
    • Delay fractioning approach to robust exponential stability of fuzzy Cohen-Grossberg neural networks
    • K. Mathiyalagan, J.H. Park, R. Sakthivel, S.M. Anthoni, Delay fractioning approach to robust exponential stability of fuzzy Cohen-Grossberg neural networks, Appl. Math. Comput. 230 (2014) 451-463.
    • (2014) Appl. Math. Comput. , vol.230 , pp. 451-463
    • Mathiyalagan, K.1    Park, J.H.2    Sakthivel, R.3    Anthoni, S.M.4
  • 22
    • 84901248141 scopus 로고    scopus 로고
    • Existence and global asymptotic stability of positive periodic solution of delayed Cohen-Grossberg neural networks
    • L.V. Hien, T.T. Loan, B.T. Huyen Trang, H. Trinh, Existence and global asymptotic stability of positive periodic solution of delayed Cohen-Grossberg neural networks, Appl. Math. Comput. 240 (2014) 200-212.
    • (2014) Appl. Math. Comput. , vol.240 , pp. 200-212
    • Hien, L.V.1    Loan, T.T.2    Huyen Trang, B.T.3    Trinh, H.4
  • 23
    • 84905048022 scopus 로고    scopus 로고
    • Extended dissipative analysis for neural networks with time-varying delays
    • T.H. Lee, M.J. Park, J.H. Park, O.M. Kwon, S.M. Lee, Extended dissipative analysis for neural networks with time-varying delays, IEEE Trans. Neural Networks (2014), http://dx.doi.org/10.1109/TNNLS.2013.2296514.
    • (2014) IEEE Trans. Neural Networks
    • Lee, T.H.1    Park, M.J.2    Park, J.H.3    Kwon, O.M.4    Lee, S.M.5
  • 24
    • 0031081849 scopus 로고    scopus 로고
    • On neural functional-differential equation with proportional delays
    • A. Iserles, On neural functional-differential equation with proportional delays, J. Math. Anal. Appl. 207 (1997) 73-95.
    • (1997) J. Math. Anal. Appl. , vol.207 , pp. 73-95
    • Iserles, A.1
  • 25
    • 3242733258 scopus 로고    scopus 로고
    • Holomorphic solutions to pantograph type equations with neural fixed points
    • B. Van, J.C. Marshall, G.C. Wake, Holomorphic solutions to pantograph type equations with neural fixed points, J. Math. Anal. Appl. 295 (2004) 557-569.
    • (2004) J. Math. Anal. Appl. , vol.295 , pp. 557-569
    • Van, B.1    Marshall, J.C.2    Wake, G.C.3
  • 26
    • 84890570427 scopus 로고    scopus 로고
    • Delay-dependent exponential stability of cellular neural networks with multi-proportional delays
    • L. Zhou, Delay-dependent exponential stability of cellular neural networks with multi-proportional delays, Neural Process. Lett. 38 (2013) 347-359.
    • (2013) Neural Process. Lett. , vol.38 , pp. 347-359
    • Zhou, L.1
  • 27
    • 84902267707 scopus 로고    scopus 로고
    • Global asymptotic stability of cellular neural networks with proportional delays
    • L. Zhou, Global asymptotic stability of cellular neural networks with proportional delays, Nonlinear Dyn. 77 (2014) 41-47.
    • (2014) Nonlinear Dyn. , vol.77 , pp. 41-47
    • Zhou, L.1
  • 28
    • 84880919189 scopus 로고    scopus 로고
    • Dissipativity of a class of cellular neural networks with proportional delays
    • L. Zhou, Dissipativity of a class of cellular neural networks with proportional delays, Nonlinear Dyn. 73 (2013) 1895-1903.
    • (2013) Nonlinear Dyn. , vol.73 , pp. 1895-1903
    • Zhou, L.1
  • 29
    • 84892742143 scopus 로고    scopus 로고
    • Asymptotic stability of cellular neural networks with multiple proportional delays
    • L. Zhou, X. Chen, Y. Yang, Asymptotic stability of cellular neural networks with multiple proportional delays, Appl. Math. Comput. 229 (2014) 457-466.
    • (2014) Appl. Math. Comput. , vol.229 , pp. 457-466
    • Zhou, L.1    Chen, X.2    Yang, Y.3
  • 30
    • 37249073362 scopus 로고    scopus 로고
    • Existence and stability of almost periodic solution for Cohen-Grossberg neural networks with variable coefficients
    • H. Zhao, L. Chen, Z. Mao, Existence and stability of almost periodic solution for Cohen-Grossberg neural networks with variable coefficients, Nonlinear Anal. Real World Appl. 9 (2008) 663-673.
    • (2008) Nonlinear Anal. Real World Appl. , vol.9 , pp. 663-673
    • Zhao, H.1    Chen, L.2    Mao, Z.3
  • 31
    • 63449139434 scopus 로고    scopus 로고
    • Stability analysis in Lagrange sense for a non-autonomous Cohen-Grossberg neural network with mixed delays
    • X. Wang, M. Jiang, S. Fang, Stability analysis in Lagrange sense for a non-autonomous Cohen-Grossberg neural network with mixed delays, Nonlinear Anal. Theory Methods Appl. 70 (2009) 4294-4306.
    • (2009) Nonlinear Anal. Theory Methods Appl. , vol.70 , pp. 4294-4306
    • Wang, X.1    Jiang, M.2    Fang, S.3
  • 32
    • 84876586601 scopus 로고    scopus 로고
    • Global exponential stability of nonautonomous neural network models with continuous distributed delays
    • S. Esteves, E. Gökmen, J.J. Oliveira, Global exponential stability of nonautonomous neural network models with continuous distributed delays, Appl. Math. Comput. 219 (2013) 9296-9307.
    • (2013) Appl. Math. Comput. , vol.219 , pp. 9296-9307
    • Esteves, S.1    Gökmen, E.2    Oliveira, J.J.3
  • 33
    • 84907189345 scopus 로고    scopus 로고
    • New results on exponential stabilization of time-varying delay neural networks via Riccati equations
    • M.V. Thuan, L.V. Hien, V.N. Phat, New results on exponential stabilization of time-varying delay neural networks via Riccati equations, Appl. Math. Comput. 246 (2014) 533-545.
    • (2014) Appl. Math. Comput. , vol.246 , pp. 533-545
    • Thuan, M.V.1    Hien, L.V.2    Phat, V.N.3
  • 35
    • 84891814083 scopus 로고    scopus 로고
    • An explicit criterion for finite-time stability of linear nonautonomous systems with delays
    • L.V. Hien, An explicit criterion for finite-time stability of linear nonautonomous systems with delays, Appl. Math. Lett. 30 (2014) 12-18.
    • (2014) Appl. Math. Lett. , vol.30 , pp. 12-18
    • Hien, L.V.1
  • 36
    • 61349189820 scopus 로고    scopus 로고
    • Finite-time stabilization of linear time-varying continuous systems
    • G. Garcia, S. Tarbouriech, J. Bernussou, Finite-time stabilization of linear time-varying continuous systems, IEEE Trans. Automat. Control 54 (2009) 364-369.
    • (2009) IEEE Trans. Automat. Control , vol.54 , pp. 364-369
    • Garcia, G.1    Tarbouriech, S.2    Bernussou, J.3
  • 37
    • 77950626955 scopus 로고    scopus 로고
    • Finite-time control of discrete-time linear systems: Analysis and design conditions
    • F. Amato, M. Ariola, C. Cosentino, Finite-time control of discrete-time linear systems: analysis and design conditions, Automatica 46 (2010) 919-924.
    • (2010) Automatica , vol.46 , pp. 919-924
    • Amato, F.1    Ariola, M.2    Cosentino, C.3
  • 38
    • 77958002212 scopus 로고    scopus 로고
    • Observer-based finite-time control of time-delayed jump systems
    • S. He, F. Liu, Observer-based finite-time control of time-delayed jump systems, Appl. Math. Comput. 217 (2010) 2327-2338.
    • (2010) Appl. Math. Comput. , vol.217 , pp. 2327-2338
    • He, S.1    Liu, F.2
  • 39
    • 77958002212 scopus 로고    scopus 로고
    • Observer-based finite-time control of time-delayed jump systems
    • S. He, F. Liu, Observer-based finite-time control of time-delayed jump systems, Appl. Math. Comput. 217 (2010) 2327-2338.
    • (2010) Appl. Math. Comput. , vol.217 , pp. 2327-2338
    • He, S.1    Liu, F.2
  • 40
    • 84871226968 scopus 로고    scopus 로고
    • Robust finite-time bounded observer design for a class of uncertain non-linear Markovian jump systems
    • W. Xiang, J. Xiao, M.N. Iqbal, Robust finite-time bounded observer design for a class of uncertain non-linear Markovian jump systems, IMA J. Math. Control Inf. 29 (2012) 551-572.
    • (2012) IMA J. Math. Control Inf. , vol.29 , pp. 551-572
    • Xiang, W.1    Xiao, J.2    Iqbal, M.N.3
  • 41
    • 84902128945 scopus 로고    scopus 로고
    • A new approach to state bounding for linear time-varying systems with delay and bounded disturbances
    • L.V. Hien, H.M. Trinh, A new approach to state bounding for linear time-varying systems with delay and bounded disturbances, Automatica 50 (2014) 1735-1738.
    • (2014) Automatica , vol.50 , pp. 1735-1738
    • Hien, L.V.1    Trinh, H.M.2
  • 43
    • 34547901782 scopus 로고    scopus 로고
    • Power-rate global stability of dynamical systems with unbounded time-varying delays
    • T. Chen, L. Wang, Power-rate global stability of dynamical systems with unbounded time-varying delays, IEEE Trans. Circuits Syst. II 54 (2007) 705-709.
    • (2007) IEEE Trans. Circuits Syst. II , vol.54 , pp. 705-709
    • Chen, T.1    Wang, L.2


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