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Volumn 57, Issue , 2014, Pages 94-102

A new switching design to finite-time stabilization of nonlinear systems with applications to neural networks

Author keywords

Finite time stabilization; Neural networks; Switching scheme

Indexed keywords

NEURAL NETWORKS; NONLINEAR SYSTEMS;

EID: 84902977579     PISSN: 08936080     EISSN: 18792782     Source Type: Journal    
DOI: 10.1016/j.neunet.2014.05.025     Document Type: Article
Times cited : (87)

References (45)
  • 1
    • 0035452456 scopus 로고    scopus 로고
    • Finite-time control of linear systems subject to parametric uncertainties and disturbances
    • Amato F., Ariola M., Dorato P. Finite-time control of linear systems subject to parametric uncertainties and disturbances. Automatica 2001, 37(9):1459-1463.
    • (2001) Automatica , vol.37 , Issue.9 , pp. 1459-1463
    • Amato, F.1    Ariola, M.2    Dorato, P.3
  • 2
    • 0032070908 scopus 로고    scopus 로고
    • Continuous finite-time stabilization of the translational and rotational double integrators
    • Bhat S., Bernstein D. Continuous finite-time stabilization of the translational and rotational double integrators. IEEE Transactions on Automatic Control 1998, 43(5):678-682.
    • (1998) IEEE Transactions on Automatic Control , vol.43 , Issue.5 , pp. 678-682
    • Bhat, S.1    Bernstein, D.2
  • 3
  • 4
    • 80052029663 scopus 로고    scopus 로고
    • Finite-time distributed consensus via binary control protocols
    • Chen G., Lewis F., Xie L. Finite-time distributed consensus via binary control protocols. Automatica 2012, 47(9):1962-1968.
    • (2012) Automatica , vol.47 , Issue.9 , pp. 1962-1968
    • Chen, G.1    Lewis, F.2    Xie, L.3
  • 7
    • 33748930431 scopus 로고    scopus 로고
    • Finite-time convergent gradient flows with applications to network consensus
    • Cortés J. Finite-time convergent gradient flows with applications to network consensus. Automatica 2006, 42(11):1993-2000.
    • (2006) Automatica , vol.42 , Issue.11 , pp. 1993-2000
    • Cortés, J.1
  • 8
    • 0003608428 scopus 로고
    • Differential equations with discontinuous right-hand side
    • Kluwer Academic Publishers, Boston
    • Filippov A.F. Differential equations with discontinuous right-hand side. Mathematics and its applications (soviet series) 1988, Kluwer Academic Publishers, Boston.
    • (1988) Mathematics and its applications (soviet series)
    • Filippov, A.F.1
  • 9
    • 31144460192 scopus 로고    scopus 로고
    • Generalized Lyapunov approach for convergence of neural networks with discontinuous or non-Lipschitz activations
    • Forti M., Grazzini M., Nistri P., Pancioni L. Generalized Lyapunov approach for convergence of neural networks with discontinuous or non-Lipschitz activations. Physica D 2006, 214(1):88-99.
    • (2006) Physica D , vol.214 , Issue.1 , pp. 88-99
    • Forti, M.1    Grazzini, M.2    Nistri, P.3    Pancioni, L.4
  • 11
    • 84884236106 scopus 로고    scopus 로고
    • Global exponential dissipativity and stabilization of memristor-based recurrent neural networks with time-varying delays
    • Guo Z., Wang J., Yan Z. Global exponential dissipativity and stabilization of memristor-based recurrent neural networks with time-varying delays. Neural Networks 2013, 48:158-172.
    • (2013) Neural Networks , vol.48 , pp. 158-172
    • Guo, Z.1    Wang, J.2    Yan, Z.3
  • 14
    • 0035249145 scopus 로고    scopus 로고
    • On an output feedback finite-time stabilization problem
    • Hong Y., Huang J., Xu Y. On an output feedback finite-time stabilization problem. IEEE Transactions on Automatic Control 2001, 46(2):305-309.
    • (2001) IEEE Transactions on Automatic Control , vol.46 , Issue.2 , pp. 305-309
    • Hong, Y.1    Huang, J.2    Xu, Y.3
  • 15
    • 33845748252 scopus 로고    scopus 로고
    • Finite-time stabilization of nonlinear systems with parametric and dynamic uncertainties
    • Hong Y., Jiang Z. Finite-time stabilization of nonlinear systems with parametric and dynamic uncertainties. IEEE Transactions on Automatic Control 2006, 51(12):1950-1956.
    • (2006) IEEE Transactions on Automatic Control , vol.51 , Issue.12 , pp. 1950-1956
    • Hong, Y.1    Jiang, Z.2
  • 16
    • 56949107715 scopus 로고    scopus 로고
    • Novel stability of cellular neural networks with interval time-varying delay
    • Hu L., Gao H., Zheng W. Novel stability of cellular neural networks with interval time-varying delay. Neural Networks 2008, 21(10):1458-1463.
    • (2008) Neural Networks , vol.21 , Issue.10 , pp. 1458-1463
    • Hu, L.1    Gao, H.2    Zheng, W.3
  • 17
    • 84884250270 scopus 로고    scopus 로고
    • Exponential stabilization of delayed recurrent neural networks: a state estimation based approach
    • Huang H., Huang T., Chen X., Qian C. Exponential stabilization of delayed recurrent neural networks: a state estimation based approach. Neural Networks 2013, 48:153-157.
    • (2013) Neural Networks , vol.48 , pp. 153-157
    • Huang, H.1    Huang, T.2    Chen, X.3    Qian, C.4
  • 18
    • 14844340820 scopus 로고    scopus 로고
    • Global finite-time stabilization of a class of uncertain nonlinear systems
    • Huang X., Lin W., Yang B. Global finite-time stabilization of a class of uncertain nonlinear systems. Automatica 2005, 41(5):881-888.
    • (2005) Automatica , vol.41 , Issue.5 , pp. 881-888
    • Huang, X.1    Lin, W.2    Yang, B.3
  • 19
    • 54049150392 scopus 로고    scopus 로고
    • Finite-time semistability and consensus for nonlinear dynamical networks
    • Hui Q., Haddad W., Bhat S. Finite-time semistability and consensus for nonlinear dynamical networks. IEEE Transactions on Automatic Control 2008, 53(8):1887-1900.
    • (2008) IEEE Transactions on Automatic Control , vol.53 , Issue.8 , pp. 1887-1900
    • Hui, Q.1    Haddad, W.2    Bhat, S.3
  • 20
    • 67349246510 scopus 로고    scopus 로고
    • Robust finite-time consensus tracking algorithm for multirobot systems
    • Khoo S., Xie L., Man Z. Robust finite-time consensus tracking algorithm for multirobot systems. IEEE/ASME Transactions on Mechatronics 2009, 14(2):219-228.
    • (2009) IEEE/ASME Transactions on Mechatronics , vol.14 , Issue.2 , pp. 219-228
    • Khoo, S.1    Xie, L.2    Man, Z.3
  • 21
    • 0032021448 scopus 로고    scopus 로고
    • Robust exact differentiation via sliding mode technique
    • Levant A. Robust exact differentiation via sliding mode technique. Automatica 1998, 34(3):379-384.
    • (1998) Automatica , vol.34 , Issue.3 , pp. 379-384
    • Levant, A.1
  • 22
    • 79953207030 scopus 로고    scopus 로고
    • Robust state estimation for neural networks with discontinuous activations
    • Liu X., Cao J. Robust state estimation for neural networks with discontinuous activations. IEEE Transactions on Systems, Man, and Cybernetics, Part B 2010, 40(6):1425-1437.
    • (2010) IEEE Transactions on Systems, Man, and Cybernetics, Part B , vol.40 , Issue.6 , pp. 1425-1437
    • Liu, X.1    Cao, J.2
  • 23
    • 80054787200 scopus 로고    scopus 로고
    • Dissipativity and quasi-synchronization for neural networks with discontinuous activations and parameter mismatches
    • Liu X., Chen T., Cao J., Lu W. Dissipativity and quasi-synchronization for neural networks with discontinuous activations and parameter mismatches. Neural Networks 2011, 24(10):1013-1021.
    • (2011) Neural Networks , vol.24 , Issue.10 , pp. 1013-1021
    • Liu, X.1    Chen, T.2    Cao, J.3    Lu, W.4
  • 24
    • 84880717606 scopus 로고    scopus 로고
    • Finite-time stochastic stabilization for BAM neural networks with uncertainties
    • Liu X., Jiang N., Cao J., Wang S., Wang Z. Finite-time stochastic stabilization for BAM neural networks with uncertainties. Journal of the Franklin Institute 2013, 350:2109-2123.
    • (2013) Journal of the Franklin Institute , vol.350 , pp. 2109-2123
    • Liu, X.1    Jiang, N.2    Cao, J.3    Wang, S.4    Wang, Z.5
  • 25
    • 84880089877 scopus 로고    scopus 로고
    • A new approach to the stability analysis of continuous-time distributed consensus algorithms
    • Liu B., Lu W., Chen T. A new approach to the stability analysis of continuous-time distributed consensus algorithms. Neural Networks 2013, 46:242-248.
    • (2013) Neural Networks , vol.46 , pp. 242-248
    • Liu, B.1    Lu, W.2    Chen, T.3
  • 26
    • 58249090775 scopus 로고    scopus 로고
    • Asymptotic stability for neural networks with mixed time-delays: the discrete-time case
    • Liu Y., Wang Z., Liu X. Asymptotic stability for neural networks with mixed time-delays: the discrete-time case. Neural Networks 2009, 22(1):67-74.
    • (2009) Neural Networks , vol.22 , Issue.1 , pp. 67-74
    • Liu, Y.1    Wang, Z.2    Liu, X.3
  • 27
    • 70350347096 scopus 로고    scopus 로고
    • Pinning stabilization of linearly coupled stochastic neural networks via minimum number of controllers
    • Lu J., Ho D.W.C., Wang Z. Pinning stabilization of linearly coupled stochastic neural networks via minimum number of controllers. IEEE Transactions on Neural Networks 2009, 20(10):1617-1629.
    • (2009) IEEE Transactions on Neural Networks , vol.20 , Issue.10 , pp. 1617-1629
    • Lu, J.1    Ho, D.W.C.2    Wang, Z.3
  • 28
    • 67650733229 scopus 로고    scopus 로고
    • Exponential stabilization of switched stochastic dynamical networks
    • Lu J., Ho D.W.C., Wu L. Exponential stabilization of switched stochastic dynamical networks. Nonlinearity 2009, 22(4):889-911.
    • (2009) Nonlinearity , vol.22 , Issue.4 , pp. 889-911
    • Lu, J.1    Ho, D.W.C.2    Wu, L.3
  • 29
    • 45449104036 scopus 로고    scopus 로고
    • Finite-time stabilization for nonlinear impulsive dynamical systems
    • Nersesov S., Haddad W. Finite-time stabilization for nonlinear impulsive dynamical systems. Nonlinear Analysis. Hybrid Systems 2008, 2(3):832-845.
    • (2008) Nonlinear Analysis. Hybrid Systems , vol.2 , Issue.3 , pp. 832-845
    • Nersesov, S.1    Haddad, W.2
  • 30
    • 78149246576 scopus 로고    scopus 로고
    • Design of sliding mode control subject to packet losses
    • Niu Y., Ho D.W.C. Design of sliding mode control subject to packet losses. IEEE Transactions on Automatic Control 2010, 55(11):2623-2628.
    • (2010) IEEE Transactions on Automatic Control , vol.55 , Issue.11 , pp. 2623-2628
    • Niu, Y.1    Ho, D.W.C.2
  • 31
    • 52249107323 scopus 로고    scopus 로고
    • H∞ control for nonlinear stochastic systems: a sliding-mode approach
    • H∞ control for nonlinear stochastic systems: a sliding-mode approach. IEEE Transactions on Automatic Control 2008, 53(7):1695-1701.
    • (2008) IEEE Transactions on Automatic Control , vol.53 , Issue.7 , pp. 1695-1701
    • Niu, Y.1    Ho, D.W.C.2    Wang, X.3
  • 32
    • 79952584377 scopus 로고    scopus 로고
    • Finite time stabilization of a perturbed double integrator-part I: continuous sliding mode-based output feedback synthesis
    • Orlov Y., Aoustin Y., Chevallereau C. Finite time stabilization of a perturbed double integrator-part I: continuous sliding mode-based output feedback synthesis. IEEE Transactions on Automatic Control 2011, 56(3):614-618.
    • (2011) IEEE Transactions on Automatic Control , vol.56 , Issue.3 , pp. 614-618
    • Orlov, Y.1    Aoustin, Y.2    Chevallereau, C.3
  • 33
    • 21344459434 scopus 로고    scopus 로고
    • Global finite-time stabilization by output feedback for planar systems without observable linearization
    • Qian C., Li J. Global finite-time stabilization by output feedback for planar systems without observable linearization. IEEE Transactions on Automatic Control 2005, 50(6):885-890.
    • (2005) IEEE Transactions on Automatic Control , vol.50 , Issue.6 , pp. 885-890
    • Qian, C.1    Li, J.2
  • 34
    • 81355138765 scopus 로고    scopus 로고
    • Finite-time synchronization of coupled neural networks via discontinuous controllers
    • Shen J., Cao J. Finite-time synchronization of coupled neural networks via discontinuous controllers. Cognitive Neurodynamics 2011, 5(4):373-385.
    • (2011) Cognitive Neurodynamics , vol.5 , Issue.4 , pp. 373-385
    • Shen, J.1    Cao, J.2
  • 35
    • 56349134893 scopus 로고    scopus 로고
    • Semi-global finite-time observers for nonlinear systems
    • Shen Y., Xia X. Semi-global finite-time observers for nonlinear systems. Automatica 2008, 44(12):3152-3156.
    • (2008) Automatica , vol.44 , Issue.12 , pp. 3152-3156
    • Shen, Y.1    Xia, X.2
  • 36
    • 77949284720 scopus 로고    scopus 로고
    • Static output-feedback stabilization of discrete-time Markovian jump linear systems: a system augmentation approach
    • Shu Z., Lam J., Xiong J. Static output-feedback stabilization of discrete-time Markovian jump linear systems: a system augmentation approach. Automatica 2010, 46(4):687-694.
    • (2010) Automatica , vol.46 , Issue.4 , pp. 687-694
    • Shu, Z.1    Lam, J.2    Xiong, J.3
  • 37
    • 73949135312 scopus 로고    scopus 로고
    • Coexistence and local stability of multiple equilibria in neural networks with piecewise linear nondecreasing activation functions
    • Wang L., Lu W., Chen T. Coexistence and local stability of multiple equilibria in neural networks with piecewise linear nondecreasing activation functions. Neural Networks 2010, 23(2):189-200.
    • (2010) Neural Networks , vol.23 , Issue.2 , pp. 189-200
    • Wang, L.1    Lu, W.2    Chen, T.3
  • 38
    • 77950855889 scopus 로고    scopus 로고
    • Finite-time consensus problems for networks of dynamic agents
    • Wang L., Xiao F. Finite-time consensus problems for networks of dynamic agents. IEEE Transactions on Automatic Control 2010, 55(4):950-955.
    • (2010) IEEE Transactions on Automatic Control , vol.55 , Issue.4 , pp. 950-955
    • Wang, L.1    Xiao, F.2
  • 39
    • 79959751279 scopus 로고    scopus 로고
    • Sliding mode control of switched hybrid systems with stochastic perturbation
    • Wu L., Ho D.W.C., Li C. Sliding mode control of switched hybrid systems with stochastic perturbation. Systems & Control Letters 2011, 60(8):531-539.
    • (2011) Systems & Control Letters , vol.60 , Issue.8 , pp. 531-539
    • Wu, L.1    Ho, D.W.C.2    Li, C.3
  • 40
    • 84864426148 scopus 로고    scopus 로고
    • L2 gain performance of Markovian jump singular time-delay systems
    • L2 gain performance of Markovian jump singular time-delay systems. Automatica 2012, 48(8):1929-1933.
    • (2012) Automatica , vol.48 , Issue.8 , pp. 1929-1933
    • Wu, L.1    Su, X.2    Shi, P.3
  • 41
    • 70349981439 scopus 로고    scopus 로고
    • Finite-time formation control for multi-agent systems
    • Xiao F., Wang L., Chen J., Gao Y. Finite-time formation control for multi-agent systems. Automatica 2009, 45(11):2605-2611.
    • (2009) Automatica , vol.45 , Issue.11 , pp. 2605-2611
    • Xiao, F.1    Wang, L.2    Chen, J.3    Gao, Y.4
  • 42
    • 30644469165 scopus 로고    scopus 로고
    • A new approach to exponential stability analysis of neural networks with time-varying delays
    • Xu S., Lam J. A new approach to exponential stability analysis of neural networks with time-varying delays. Neural Networks 2006, 19(1):76-83.
    • (2006) Neural Networks , vol.19 , Issue.1 , pp. 76-83
    • Xu, S.1    Lam, J.2
  • 44
    • 33751212466 scopus 로고    scopus 로고
    • Global exponential stability of recurrent neural networks with time-varying delays in the presence of strong external stimuli
    • Zeng Z., Wang J. Global exponential stability of recurrent neural networks with time-varying delays in the presence of strong external stimuli. Neural Networks 2006, 19(10):1528-1537.
    • (2006) Neural Networks , vol.19 , Issue.10 , pp. 1528-1537
    • Zeng, Z.1    Wang, J.2
  • 45
    • 84857795021 scopus 로고    scopus 로고
    • Finite-time stabilization by state feedback control for a class of time-varying nonlinear systems
    • Zhang X., Feng G., Sun Y. Finite-time stabilization by state feedback control for a class of time-varying nonlinear systems. Automatica 2012, 48(3):499-504.
    • (2012) Automatica , vol.48 , Issue.3 , pp. 499-504
    • Zhang, X.1    Feng, G.2    Sun, Y.3


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