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Volumn 29, Issue 2, 2012, Pages 199-213

Global stability results of discrete recurrent neural networks with interval delays

Author keywords

delay range dependent stability; discrete time systems; LMIs; recurrent neural networks; time varying delays

Indexed keywords

DECISION VARIABLES; DELAY-DEPENDENT; DELAY-RANGE-DEPENDENT; DISCRETE TIME RECURRENT NEURAL NETWORK; DISCRETE TIME SYSTEM; FEASIBILITY TESTING; GLOBAL EXPONENTIAL STABILITY; GLOBAL STABILITY; INTERVAL DELAY; INTERVAL TIME-VARYING DELAYS; LMIS; LYAPUNOV-KRASOVSKII FUNCTIONALS; NUMERICAL EXAMPLE; PARAMETERIZED; STABILITY METHOD; TIME SPAN; TIME-VARYING DELAY; TIME-VARYING PARAMETER UNCERTAINTY;

EID: 84863570707     PISSN: 02650754     EISSN: 14716887     Source Type: Journal    
DOI: 10.1093/imamci/dnr034     Document Type: Article
Times cited : (4)

References (33)
  • 3
    • 13444256385 scopus 로고    scopus 로고
    • A general framework for global asymptotic stability analysis of delayed neural networks based on LMI approach
    • DOI 10.1016/j.chaos.2004.09.063, PII S0960077904006241
    • CAO, J. & HO, D. W. C. (2005) A general framework for global asymptotic stability analysis of delayed neural networks based on LMI approach. Chaos Solitons Fractals, 24, 1317-1329. (Pubitemid 40206058)
    • (2005) Chaos, Solitons and Fractals , vol.24 , Issue.5 , pp. 1317-1329
    • Cao, J.1    Ho, D.W.C.2
  • 4
    • 0037216976 scopus 로고    scopus 로고
    • Global asymptotic stability of a general class of recurrent neural networks with interval time-varying delays
    • CAO, J. & WANG, J. (2003) Global asymptotic stability of a general class of recurrent neural networks with interval time-varying delays. IEEE Trans. Circuits Syst. I, 50, 34-44.
    • (2003) IEEE Trans. Circuits Syst. i , vol.50 , pp. 34-44
    • Cao, J.1    Wang, J.2
  • 5
    • 14644434391 scopus 로고    scopus 로고
    • Global asymptotic and robust stability of recurrent neural networks with time delays
    • DOI 10.1109/TCSI.2004.841574
    • CAO, J. & WANG, J. (2005) Global asymptotic and robust stability of recurrent neural networks with time-delays. IEEE Trans. Circuits Syst. I, 52, 417-426. (Pubitemid 40319475)
    • (2005) IEEE Transactions on Circuits and Systems I: Regular Papers , vol.52 , Issue.2 , pp. 417-426
    • Cao, J.1    Wang, J.2
  • 6
    • 33645877679 scopus 로고    scopus 로고
    • Image-processing algorithms realized by discrete-time cellular neural networks and their circuit implementations
    • CHEN, W. H., HUNG, Y. C., CHEN, C. K., LIA, T. L. & CHEN, C. K. (2006a) Image-processing algorithms realized by discrete-time cellular neural networks and their circuit implementations. Chaos Solitons Fractals, 29, 1100-1108.
    • (2006) Chaos Solitons Fractals , vol.29 , pp. 1100-1108
    • Chen, W.H.1    Hung, Y.C.2    Chen, C.K.3    Lia, T.L.4    Chen, C.K.5
  • 7
    • 33747162684 scopus 로고    scopus 로고
    • Global exponential stability for discrete-time neural networks with variable delays
    • CHEN, W. H., LU, X. & LIANG, D. Y. (2006b) Global exponential stability for discrete-time neural networks with variable delays. Phys. Lett. A, 358, 186-198.
    • (2006) Phys. Lett. A , vol.358 , pp. 186-198
    • Chen, W.H.1    U, X.L.2    Liang, D.Y.3
  • 9
    • 33846047356 scopus 로고    scopus 로고
    • New delay-dependent stability criteria for neural networks with yime-varying delay
    • DOI 10.1109/TNN.2006.888373
    • HE, Y., LIU, G. P. & REES, D. (2007) New delay-dependent stability criteria for neutral networks with timevarying delays. IEEE Trans. Neural Netw., 18, 310-314. (Pubitemid 46062938)
    • (2007) IEEE Transactions on Neural Networks , vol.18 , Issue.1 , pp. 310-314
    • He, Y.1    Liu, G.2    Rees, D.3
  • 10
    • 31344468612 scopus 로고    scopus 로고
    • Global robust stability of a class of discrete-time interval neural networks
    • DOI 10.1109/TCSI.2005.854288
    • HU, S. & WANG, J. (2006) Global robust stability of a class of discrete-time interval neural networks. IEEE Trans. Circuits Syst. I, 53, 129-138. (Pubitemid 43141936)
    • (2006) IEEE Transactions on Circuits and Systems I: Regular Papers , vol.53 , Issue.1 , pp. 129-138
    • Hu, S.1    Wang, J.2
  • 11
    • 0029759821 scopus 로고    scopus 로고
    • Multilayer discrete-time neural-net controller with guaranteed performance
    • PII S1045922796001579
    • JAGANNATHAN, S. & LEWIS, F. L. (1996) Multilayer discrete-time neural net controller with guaranteed performance. IEEE Trans. Neural Netw., 7, 107-130. (Pubitemid 126811732)
    • (1996) IEEE Transactions on Neural Networks , vol.7 , Issue.1 , pp. 107-130
    • Jagannathan, S.1    Lewis, F.L.2
  • 12
    • 0028545025 scopus 로고
    • Absolute stability conditions for discrete-time recurrent neural networks
    • JIN, L., NIKIFORUCK, P. N. & GUPTA, M. M. (1994) Absolute stability conditions for discrete-time recurrent neural networks. IEEE Trans. Neural Netw., 5, 954-964.
    • (1994) IEEE Trans. Neural Netw. , vol.5 , pp. 954-964
    • Jin, L.1    Nikiforuck, P.N.2    Gupta, M.M.3
  • 13
    • 18644377250 scopus 로고    scopus 로고
    • Convergence of discrete-time recurrent neural networks with variable delay
    • LIANG, J. & CAO, J. (2005) Convergence of discrete-time recurrent neural networks with variable delay. Int. J. Bifurcat. Chaos, 15, 5811-5895.
    • (2005) Int. J. Bifurcat. Chaos , vol.15 , pp. 5811-5895
    • Liang, J.1    Cao, J.2
  • 14
    • 12544259222 scopus 로고    scopus 로고
    • Discrete-time bidirectional associative memory neural networks with variable delays
    • DOI 10.1016/j.physleta.2004.12.026, PII S0375960104017359
    • LIANG, J., CAO, J. & HO, D. W. C. (2005) Discrete-time bidirectional associative memory neural networks with variable delays. Phys. Lett. A, 335, 226-234. (Pubitemid 40152956)
    • (2005) Physics Letters, Section A: General, Atomic and Solid State Physics , vol.335 , Issue.2-3 , pp. 226-234
    • Liang, J.1    Cao, J.2    Ho, D.W.C.3
  • 15
    • 0000459678 scopus 로고    scopus 로고
    • Global stability for cellular neural networks with time-delay
    • LIAO, T. L. & WANG, F. C. (2000) Global stability for cellular neural networks with time-delay. IEEE Trans. Neural Netw., 11, 1481-1484.
    • (2000) IEEE Trans. Neural Netw. , vol.11 , pp. 1481-1484
    • Liao, T.L.1    Wang, F.C.2
  • 16
    • 34548658812 scopus 로고    scopus 로고
    • Discrete-time analogs for a class of continuous-time recurrent neural networks
    • DOI 10.1109/TNN.2007.891593
    • LIU, P. & HAN, Q. L. (2007) Discrete-time analogs for a class of continuous-time recurrent neural networks. IEEE Trans. Neural Netw., 18, 1343-1355. (Pubitemid 47408536)
    • (2007) IEEE Transactions on Neural Networks , vol.18 , Issue.5 , pp. 1343-1355
    • Liu, P.1    Han, Q.-L.2
  • 17
    • 33846401362 scopus 로고    scopus 로고
    • Discrete-time recurrent neural networks with time-varying delays: Exponential stability analysis
    • LIU, Y., WANG, Z., SERRANO, A. & LIU, X. (2007) Discrete-time recurrent neural networks with time-varying delays: exponential stability analysis. Phys. Lett. A, 362, 480-488.
    • (2007) Phys. Lett. A , vol.362 , pp. 480-488
    • Liu, Y.1    Wang, Z.2    Serrano, A.3    Liu, X.4
  • 18
    • 37549045167 scopus 로고    scopus 로고
    • A delay-range-dependent approach to global robust stability for discrete-time uncertain recurrent neural networks with interval time-varying delay
    • LU, C. Y. (2007) A delay-range-dependent approach to global robust stability for discrete-time uncertain recurrent neural networks with interval time-varying delay. Proc. IMechE I J. Syst. Control Eng., 221, 1123-1132.
    • (2007) Proc. IMechE i J. Syst. Control Eng. , vol.221 , pp. 1123-1132
    • C, Y.L.U.1
  • 19
    • 1642444071 scopus 로고    scopus 로고
    • Uncertain jumping systems with strong and weak functional delays
    • MAHMOUD, M. S. (2004) Uncertain jumping systems with strong and weak functional delays. Automatica, 40, 501-510.
    • (2004) Automatica , vol.40 , pp. 501-510
    • Mahmoud, M.S.1
  • 20
    • 12944289522 scopus 로고    scopus 로고
    • New results on delay-dependent control of time-delay systems
    • DOI 10.1109/TAC.2004.841130
    • MAHMOUD, M. S. & ISMAIL, A. (2005) New results on delay-dependent control of time-delay systems. IEEE Trans. Autom. Control, 50, 95-100. (Pubitemid 40173729)
    • (2005) IEEE Transactions on Automatic Control , vol.50 , Issue.1 , pp. 95-100
    • Mahmoud, M.S.1    Ismail, A.2
  • 21
    • 67650312239 scopus 로고    scopus 로고
    • Delay-dependent robust stability and stabilization of neutral systems
    • MAHMOUD, M. S. & ISMAIL, A. (2007) Delay-dependent robust stability and stabilization of neutral systems. J. Appl. Math. Sci., 1, 491-505.
    • (2007) J. Appl. Math. Sci. , vol.1 , pp. 491-505
    • Mahmoud, M.S.1    Ismail, A.2
  • 22
    • 0037440578 scopus 로고    scopus 로고
    • Exponential stability of continuous-time and discrete-time cellular neural networks with delays
    • MOHAMED, S. & GOPBALSAMY, K. (2003) Exponential stability of continuous-time and discrete-time cellular neural networks with delays. Appl. Math. Comput., 135, 17-38.
    • (2003) Appl. Math. Comput. , vol.135 , pp. 17-38
    • Mohamed, S.1    Gopbalsamy, K.2
  • 24
    • 40749147693 scopus 로고    scopus 로고
    • A new global robust stability criteria for uncertain neural networks with fast time-varying delays
    • DOI 10.1016/j.chaos.2007.10.040, PII S0960077907009228
    • QIU, J., ZHANG, J., WANG, J., XIA, Y. & SHI, P. (2008) A new global robust stability criteria for uncertain neural networks with fast time-varying delays. Chaos Solitons Fractals, 37, 360-368. (Pubitemid 351380492)
    • (2008) Chaos, Solitons and Fractals , vol.37 , Issue.2 , pp. 360-368
    • Qiu, J.1    Zhang, J.2    Wang, J.3    Xia, Y.4    Shi, P.5
  • 26
    • 1242331018 scopus 로고    scopus 로고
    • A generalized LMI-based approach to the global asymptotic stability of delayed cellular neural networks
    • SINGH, V. (2004) A generalized LMI-based approach to the global asymptotic stability of delayed cellular neural networks. IEEE Trans. Neural Netw., 15, 223-225.
    • (2004) IEEE Trans. Neural Netw. , vol.15 , pp. 223-225
    • Singh, V.1
  • 27
    • 12544252350 scopus 로고    scopus 로고
    • Global robust stability of delayed neural networks: An LMI approach
    • DOI 10.1109/TCSII.2004.840118
    • SINGH, V. (2005) Global robust stability of delayed cellular neural networks: an LMI approach. IEEE Trans. Circuits Syst. II Exp. Briefs, 52, 33-36. (Pubitemid 40152139)
    • (2005) IEEE Transactions on Circuits and Systems II: Express Briefs , vol.52 , Issue.1 , pp. 33-36
    • Singh, V.1
  • 28
    • 33745873486 scopus 로고    scopus 로고
    • New global robust stability results for delayed cellular neural networks based on norm-bounded uncertainties
    • DOI 10.1016/j.chaos.2005.08.183, PII S0960077905008507
    • SINGH, V. (2006) New global robust stability results for delayed cellular neural networks based on norm-bounded uncertainties. Chaos Solitons Fractals, 30, 1165-1171. (Pubitemid 44037386)
    • (2006) Chaos, Solitons and Fractals , vol.30 , Issue.5 , pp. 1165-1171
    • Singh, V.1
  • 29
    • 0742306448 scopus 로고    scopus 로고
    • Global exponential stability of discrete-time neural networks for constrained quadratic optimization
    • DOI 10.1016/S0925-2312(03)00442-9, PII S0925231203004429
    • TAN, K., TANG, H. & YI, Z. (2004) Global exponential stability of discrete-time neural networks for constrained quadratic optimization. Neurocomputing, 56, 399-406. (Pubitemid 38145635)
    • (2004) Neurocomputing , vol.56 , Issue.1-4 , pp. 399-406
    • Tan, K.C.1    Tang, H.J.2    Yi, Z.3
  • 30
    • 33747143187 scopus 로고    scopus 로고
    • Sufficient and necessary conditions for global exponential stability of discrete-time recurrent neural networks
    • DOI 10.1109/TCSI.2006.874179
    • WANG, L. & XU, Z. (2006) Sufficient and necessary conditions for global exponential stability of discrete-time recurrent neural networks. IEEE Trans. Circuits Syst. I, 53, 1373-1380. (Pubitemid 44218358)
    • (2006) IEEE Transactions on Circuits and Systems I: Regular Papers , vol.53 , Issue.6 , pp. 1373-1380
    • Wang, L.1    Xu, Z.2
  • 31
    • 33644982553 scopus 로고    scopus 로고
    • New results on global exponential stability of recurrent neural networks with time-varying delays
    • DOI 10.1016/j.physleta.2005.12.031, PII S0375960105019043
    • XU, S., CHU, Y. & LU, J. (2006) New results on global exponential stability of recurrent neural networks with interval time-varying delays. Phys. Lett. A, 352, 371-379. (Pubitemid 43395315)
    • (2006) Physics Letters, Section A: General, Atomic and Solid State Physics , vol.352 , Issue.4-5 , pp. 371-379
    • Xu, S.1    Chu, Y.2    Lu, J.3
  • 32
    • 0242523780 scopus 로고    scopus 로고
    • Nonlinear system identification using discrete-time recurrent neural networks with stable learning algorithms
    • YU, W. (2004) Nonlinear system identification using discrete-time recurrent neural networks with stable learning algorithms. Inf. Sci., 158, 131-147.
    • (2004) Inf. Sci. , vol.158 , pp. 131-147
    • U, W.Y.1


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