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Volumn 65, Issue 4, 2011, Pages 413-419

Robust stability of recurrent neural networks with ISS learning algorithm

Author keywords

Dynamic neural networks; Input to state stability (ISS) approach; Linear matrix inequality (LMI); Weight learning algorithm

Indexed keywords

DYNAMIC NEURAL NETWORKS; EXTERNAL DISTURBANCES; INPUT-TO-STATE STABILITY; LINEAR MATRIX INEQUALITY FORMULATIONS; NUMERICAL EXAMPLE; ROBUST STABILITY; ROBUST WEIGHT;

EID: 84863334042     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-010-9901-5     Document Type: Article
Times cited : (19)

References (30)
  • 2
    • 0025405546 scopus 로고
    • Stability in contractive nonlinear neural networks
    • Kelly, D.G.: Stability in contractive nonlinear neural networks. IEEE Trans. Biomed. Eng. 3, 241-242 (1990)
    • (1990) IEEE Trans. Biomed. Eng. , vol.3 , pp. 241-242
    • Kelly, D.G.1
  • 3
    • 0026679036 scopus 로고
    • Stability conditions for nonlinear continuous neural networks with asymmetric connections weights
    • Matsouka, K.: Stability conditions for nonlinear continuous neural networks with asymmetric connections weights. Neural Netw. 5, 495-500 (1992)
    • (1992) Neural Netw. , vol.5 , pp. 495-500
    • Matsouka, K.1
  • 4
    • 0032154933 scopus 로고    scopus 로고
    • A simple proof of a necessary and sufficient condition for absolute stability of symmetric neural networks
    • Liang, X.B., Wu, L.D.: A simple proof of a necessary and sufficient condition for absolute stability of symmetric neural networks. IEEE Trans. Circuits Syst. I 45, 1010-1011 (1998)
    • (1998) IEEE Trans. Circuits Syst. , vol.I 45 , pp. 1010-1011
    • Liang, X.B.1    Wu, L.D.2
  • 5
    • 0033225902 scopus 로고    scopus 로고
    • Input-to-state stability (iss) analysis for dynamic neural networks
    • Sanchez, E.N., Perez, J.P.: Input-to-state stability (ISS) analysis for dynamic neural networks. IEEE Trans. Circuits Syst. I 46, 1395-1398 (1999)
    • (1999) IEEE Trans. Circuits Syst. , vol.I 46 , pp. 1395-1398
    • Sanchez, E.N.1    Perez, J.P.2
  • 6
    • 0041332889 scopus 로고    scopus 로고
    • Necessary and sufficient condition for absolute stability of normal neural networks
    • Chu, T., Zhang, C., Zhang, Z.: Necessary and sufficient condition for absolute stability of normal neural networks. Neural Netw. 16, 1223-1227 (2003)
    • (2003) Neural Netw. , vol.16 , pp. 1223-1227
    • Chu, T.1    Zhang, C.2    Zhang, Z.3
  • 7
    • 33845656996 scopus 로고    scopus 로고
    • New necessary and sufficient conditions for absolute stability of neural networks
    • Chu, T., Zhang, C.: New necessary and sufficient conditions for absolute stability of neural networks. Neural Netw. 20, 94-101 (2007)
    • (2007) Neural Netw. , vol.20 , pp. 94-101
    • Chu, T.1    Zhang, C.2
  • 8
    • 0028386785 scopus 로고
    • Adaptive control of unknown plants using dynamical neural networks
    • Rovithakis, G.A., Christodoulou, M.A.: Adaptive control of unknown plants using dynamical neural networks. IEEE Trans. Syst. Man Cybern. 24, 400-412 (1994)
    • (1994) IEEE Trans. Syst. Man Cybern. , vol.24 , pp. 400-412
    • Rovithakis, G.A.1    Christodoulou, M.A.2
  • 9
    • 0030410676 scopus 로고    scopus 로고
    • Identification of nonlinear dynamical systems using multilayered neural networks
    • Jagannathan, S., Lewis, F.L.: Identification of nonlinear dynamical systems using multilayered neural networks. Automatica 32, 1707-1712 (1996)
    • (1996) Automatica , vol.32 , pp. 1707-1712
    • Jagannathan, S.1    Lewis, F.L.2
  • 10
    • 0032648040 scopus 로고    scopus 로고
    • Lur'e systems with multilayer perceptron and recurrent neural networks; absolute stability and dissipativity
    • Suykens, J.A.K., Vandewalle, J., De Moor, B.: Lur'e systems with multilayer perceptron and recurrent neural networks; absolute stability and dissipativity. IEEE Trans. Autom. Control 44, 770-774 (1999)
    • (1999) IEEE Trans. Autom. Control , vol.44 , pp. 770-774
    • Suykens, J.A.K.1    Vandewalle, J.2    De Moor, B.3
  • 11
    • 0035249491 scopus 로고    scopus 로고
    • Some stability properties of dynamic neural networks
    • Yu, W., Li, X.: Some stability properties of dynamic neural networks. IEEE Trans. Circuits Syst. I 48, 256-259 (2001)
    • (2001) IEEE Trans. Circuits Syst. , vol.I 48 , pp. 256-259
    • Yu, W.1    Li, X.2
  • 12
    • 33947363760 scopus 로고    scopus 로고
    • New sliding-mode learning law for dynamic neural network observer
    • Chairez, I., Poznyak, A., Poznyak, T.: New sliding-mode learning law for dynamic neural network observer. IEEE Trans. Circuits Syst. II 53, 1338-1342 (2006)
    • (2006) IEEE Trans. Circuits Syst. II , vol.53 , pp. 1338-1342
    • Chairez, I.1    Poznyak, A.2    Poznyak, T.3
  • 13
    • 33847314192 scopus 로고    scopus 로고
    • Passivity analysis of dynamic neural networks with different time-scales
    • Yu, W., Li, X.: Passivity analysis of dynamic neural networks with different time-scales. Neural Process. Lett. 25, 143-155 (2007)
    • (2007) Neural Process. Lett. , vol.25 , pp. 143-155
    • Yu, W.1    Li, X.2
  • 14
    • 34249668888 scopus 로고    scopus 로고
    • Nonlinear system identification with recurrent neural networks and dead-zone kalman filter algorithm
    • Rubio, J.J., Yu, W.: Nonlinear system identification with recurrent neural networks and dead-zone Kalman filter algorithm. Neurocomputing 70, 2460-2466 (2007)
    • (2007) Neurocomputing , vol.70 , pp. 2460-2466
    • Rubio, J.J.1    Yu, W.2
  • 15
    • 0031272071 scopus 로고    scopus 로고
    • Nlq theory: Checking and imposing stability of recurrent neural networks for nonlinear modelling
    • Suykens, J.A.K., Vandewalle, J., De Moor, B.: NLq theory: checking and imposing stability of recurrent neural networks for nonlinear modelling. IEEE Trans. Signal Process. 45, 2682-2691 (1997)
    • (1997) IEEE Trans. Signal Process. , vol.45 , pp. 2682-2691
    • Suykens, J.A.K.1    Vandewalle, J.2    De Moor, B.3
  • 16
    • 0024647058 scopus 로고
    • Smooth stabilization implies coprime factorization
    • Sontag, E.D.: Smooth stabilization implies coprime factorization. IEEE Trans. Autom. Control 34, 435-443 (1989)
    • (1989) IEEE Trans. Autom. Control , vol.34 , pp. 435-443
    • Sontag, E.D.1
  • 17
    • 0025419843 scopus 로고
    • Further facts about input to state stabilization
    • Sontag, E.D.: Further facts about input to state stabilization. IEEE Trans. Autom. Control 35, 473-476 (1990)
    • (1990) IEEE Trans. Autom. Control , vol.35 , pp. 473-476
    • Sontag, E.D.1
  • 18
    • 33846166511 scopus 로고
    • Small-gain theorem for iss systems and applications
    • Jiang, Z.P., Teel, A., Praly, L.: Small-gain theorem for ISS systems and applications. Math. Control Signals Syst. 7, 95-120 (1994)
    • (1994) Math. Control Signals Syst. , vol.7 , pp. 95-120
    • Jiang, Z.P.1    Teel, A.2    Praly, L.3
  • 19
    • 0029288045 scopus 로고
    • On characterizations of the inputto-state stability property
    • Sontag, E.D., Wang, Y.: On characterizations of the inputto-state stability property. Syst. Control Lett. 24, 351-359 (1995)
    • (1995) Syst. Control Lett. , vol.24 , pp. 351-359
    • Sontag, E.D.1    Wang, Y.2
  • 20
    • 0030287778 scopus 로고    scopus 로고
    • Singular perturbations and input-to-state stability
    • Christofides, P.D., Teel, A.R.: Singular perturbations and input-to-state stability. IEEE Trans. Autom. Control 41, 1645-1650 (1996)
    • (1996) IEEE Trans. Autom. Control , vol.41 , pp. 1645-1650
    • Christofides, P.D.1    Teel, A.R.2
  • 21
    • 0348241184 scopus 로고    scopus 로고
    • Comments on integral variants of iss
    • Sontag, E.D.: Comments on integral variants of ISS. Syst. Control Lett. 34, 93-100 (1998)
    • (1998) Syst. Control Lett. , vol.34 , pp. 93-100
    • Sontag, E.D.1
  • 22
    • 0032124188 scopus 로고    scopus 로고
    • Connections between razumikhin-type theorems and the iss nonlinear small gain theorem
    • Teel, A.R.: Connections between Razumikhin-type theorems and the ISS nonlinear small gain theorem. IEEE Trans. Autom. Control 43, 960-964 (1998)
    • (1998) IEEE Trans. Autom. Control , vol.43 , pp. 960-964
    • Teel, A.R.1
  • 23
    • 0035391687 scopus 로고    scopus 로고
    • Input-to-state stabilization of switched nonlinear systems
    • Xie, W., Wen, C., Li, Z.: Input-to-state stabilization of switched nonlinear systems. IEEE Trans. Autom. Control 46, 1111-1116 (2001)
    • (2001) IEEE Trans. Autom. Control , vol.46 , pp. 1111-1116
    • Xie, W.1    Wen, C.2    Li, Z.3
  • 24
    • 0035418272 scopus 로고    scopus 로고
    • Power characterizations of inputto-state stability and integral input-to-state stability
    • Angeli, D., Nesic, D.: Power characterizations of inputto-state stability and integral input-to-state stability. IEEE Trans. Autom. Control 46, 1298-1303 (2001)
    • (2001) IEEE Trans. Autom. Control , vol.46 , pp. 1298-1303
    • Angeli, D.1    Nesic, D.2
  • 27
    • 0004469897 scopus 로고
    • Neurons with grade response have collective computational properties like those of two-state neurons
    • Hopfield, J.J.: Neurons with grade response have collective computational properties like those of two-state neurons. Proc. Natl. Acad. Sci. USA 81, 3088-3092 (1984)
    • (1984) Proc. Natl. Acad. Sci. USA , vol.81 , pp. 3088-3092
    • Hopfield, J.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.