메뉴 건너뛰기




Volumn 37, Issue 2, 2013, Pages 189-205

Accelerating a recurrent neural network to finite-time convergence for solving time-varying Sylvester equation by using a sign-bi-power activation function

Author keywords

Finite time convergence; Global convergence; Sylvester equation; Zhang neural network

Indexed keywords

ACTIVATION FUNCTIONS; FINITE-TIME CONVERGENCE; GLOBAL CONVER-GENCE; INVERTED PENDULUM SYSTEM; REAL-TIME CALCULATIONS; REALTIME PROCESSING; SYLVESTER EQUATION; ZHANG NEURAL NETWORKS;

EID: 84879688364     PISSN: 13704621     EISSN: 1573773X     Source Type: Journal    
DOI: 10.1007/s11063-012-9241-1     Document Type: Article
Times cited : (312)

References (40)
  • 1
    • 0003365357 scopus 로고    scopus 로고
    • How and why to solve the operator equation AX-XB = y
    • 1416400 0909.47011 10.1112/S0024609396001828
    • Bhatia R, Rosenthal P (1997) How and why to solve the operator equation AX-XB = Y. Bull Lond Math Soc 29(1): 1-21
    • (1997) Bull Lond Math Soc , vol.29 , Issue.1 , pp. 1-21
    • Bhatia, R.1    Rosenthal, P.2
  • 2
    • 80052901894 scopus 로고    scopus 로고
    • Least squares surface reconstruction from gradients: Direct algebraic methods with spectral, tikhonov, and constrained regularization
    • Colorado Springs
    • Harker M, Leary PO (2011) Least squares surface reconstruction from gradients: direct algebraic methods with spectral, tikhonov, and constrained regularization. In: 2011 IEEE conference on computer vision and pattern recognition (CVPR), Colorado Springs, pp 2529-2536
    • (2011) 2011 IEEE Conference on Computer Vision and Pattern Recognition (CVPR) , pp. 2529-2536
    • Harker, M.1    Leary, P.O.2
  • 3
    • 0028413438 scopus 로고
    • Disturbance decoupling using constrained sylvester equations
    • 1276775 0807.93041 10.1109/9.286255
    • Syrmos VL (1994) Disturbance decoupling using constrained sylvester equations. IEEE Trans Auto Control 39(4): 797-803
    • (1994) IEEE Trans Auto Control , vol.39 , Issue.4 , pp. 797-803
    • Syrmos, V.L.1
  • 4
    • 0027556638 scopus 로고
    • Output feedback eigenstructure assignment using two sylvester equations
    • 1214261 0791.93035 10.1109/9.210155
    • Syrmos VL, Lewis FL (1993) Output feedback eigenstructure assignment using two sylvester equations. IEEE Trans Auto Control 38(3): 495-499
    • (1993) IEEE Trans Auto Control , vol.38 , Issue.3 , pp. 495-499
    • Syrmos, V.L.1    Lewis, F.L.2
  • 5
    • 2542629093 scopus 로고    scopus 로고
    • Linear time-varying eigenstructure assignment with flight control application
    • 10.1109/TAES.2004.1292149
    • Lee HC, Choi JW (2004) Linear time-varying eigenstructure assignment with flight control application. IEEE Trans Aerosp Electron Syst 40(1): 145-157
    • (2004) IEEE Trans Aerosp Electron Syst , vol.40 , Issue.1 , pp. 145-157
    • Lee, H.C.1    Choi, J.W.2
  • 6
    • 84976855597 scopus 로고
    • Solution of the matrix equation AX + XB = C
    • 10.1145/361573.361582
    • Bartels RH, Stewart GW (1972) Solution of the matrix equation AX + XB = C. Commun ACM 15: 820-826
    • (1972) Commun ACM , vol.15 , pp. 820-826
    • Bartels, R.H.1    Stewart, G.W.2
  • 7
    • 31244438168 scopus 로고    scopus 로고
    • Numerical solution and perturbation theory for generalized lyapunov equations
    • 1903729 1003.65042 10.1016/S0024-3795(02)00255-0
    • Stykel T (2002) Numerical solution and perturbation theory for generalized lyapunov equations. Linear Algebra Appl 349(1-3): 155-185
    • (2002) Linear Algebra Appl , vol.349 , Issue.1-3 , pp. 155-185
    • Stykel, T.1
  • 8
    • 52949108764 scopus 로고    scopus 로고
    • Block linear method for large scale Sylvester equations
    • 002
    • Monsalve M (00 2) 2008) Block linear method for large scale Sylvester equations. Comput Appl Math 27: 47-59
    • (2008) Comput Appl Math , vol.27 , pp. 47-59
    • Monsalve, M.1
  • 9
    • 34548827187 scopus 로고    scopus 로고
    • Noise-robust automatic speech recognition using a predictive echo state network
    • 10.1109/TASL.2007.896669
    • Skowronski MD, Harris JG (2007) Noise-robust automatic speech recognition using a predictive echo state network. IEEE Trans Audio Speech Lang Process 15(5): 1724-1730
    • (2007) IEEE Trans Audio Speech Lang Process , vol.15 , Issue.5 , pp. 1724-1730
    • Skowronski, M.D.1    Harris, J.G.2
  • 11
    • 0037239496 scopus 로고    scopus 로고
    • Recurrent neural networks for time series classification
    • 10.1016/S0925-2312(01)00706-8
    • Husken M, Stagge P (2003) Recurrent neural networks for time series classification. Neurocomputing 50: 223-235
    • (2003) Neurocomputing , vol.50 , pp. 223-235
    • Husken, M.1    Stagge, P.2
  • 12
    • 84864417868 scopus 로고    scopus 로고
    • Model-free control of lorenz chaos using an approximate optimal control strategy
    • 10.1016/j.cnsns.2012.04.013
    • Lin S, Li Y, Liu B (2012) Model-free control of lorenz chaos using an approximate optimal control strategy. Commun Nonlinear Sci Numer Simul 17: 12
    • (2012) Commun Nonlinear Sci Numer Simul , vol.17 , pp. 12
    • Lin, S.1    Li, Y.2    Liu, B.3
  • 13
    • 0002381070 scopus 로고    scopus 로고
    • Neural networks for combinatorial optimization: A review of more than a decade of research
    • 1688124 1034.90528 10.1287/ijoc.11.1.15
    • Smith KA (1999) Neural networks for combinatorial optimization: a review of more than a decade of research. INFORMS J Comput 11: 15-34
    • (1999) INFORMS J Comput , vol.11 , pp. 15-34
    • Smith, K.A.1
  • 14
    • 84879690228 scopus 로고    scopus 로고
    • Bluetooth aided mobile phone localization: A nonlinear neural circuit approach
    • (accepted)
    • Li S, Lou Y, Liu B (2012) Bluetooth aided mobile phone localization: a nonlinear neural circuit approach. ACM Trans Embedded Comput Syst (accepted)
    • (2012) ACM Trans Embedded Comput Syst
    • Li, S.1    Lou, Y.2    Liu, B.3
  • 15
    • 0004469897 scopus 로고
    • Neurons with graded response have collective computational properties like those of two-state neurons
    • 10.1073/pnas.81.10.3088
    • Hopfield JJ (1984) Neurons with graded response have collective computational properties like those of two-state neurons. Proc Natl Acad Sci 81(10): 3088-3092
    • (1984) Proc Natl Acad Sci , vol.81 , Issue.10 , pp. 3088-3092
    • Hopfield, J.J.1
  • 16
    • 26244448321 scopus 로고    scopus 로고
    • Gradient based iterative algorithms for solving a class of matrix equations
    • 2156053 10.1109/TAC.2005.852558
    • Ding F, Chen T (2005) Gradient based iterative algorithms for solving a class of matrix equations. IEEE Trans Auto Control 50(8): 1216-1221
    • (2005) IEEE Trans Auto Control , vol.50 , Issue.8 , pp. 1216-1221
    • Ding, F.1    Chen, T.2
  • 17
    • 58149346165 scopus 로고    scopus 로고
    • Least squares solutions to general coupled sylvester matrix equations
    • 2492909 1161.65034 10.1016/j.cam.2008.06.014
    • Zhou B, Li ZY, Duan GR, Wang Y (2009) Least squares solutions to general coupled sylvester matrix equations. J Comput Appl Math 224: 759-776
    • (2009) J Comput Appl Math , vol.224 , pp. 759-776
    • Zhou, B.1    Li, Z.Y.2    Duan, G.R.3    Wang, Y.4
  • 18
    • 1542341839 scopus 로고
    • Analog methods for computation of the generalized inverse
    • 10.1109/TAC.1968.1098973
    • Manherz R, Jordan B, Hakimi S (1968) Analog methods for computation of the generalized inverse. IEEE Trans Auto Control 13(5): 582-585
    • (1968) IEEE Trans Auto Control , vol.13 , Issue.5 , pp. 582-585
    • Manherz, R.1    Jordan, B.2    Hakimi, S.3
  • 19
  • 20
    • 28244493362 scopus 로고    scopus 로고
    • Design and analysis of a general recurrent neural network model for time-varying matrix inversion
    • 10.1109/TNN.2005.857946
    • Zhang Y, Ge SS (2005) Design and analysis of a general recurrent neural network model for time-varying matrix inversion. IEEE Trans Neural Netw 16(6): 1477-1490
    • (2005) IEEE Trans Neural Netw , vol.16 , Issue.6 , pp. 1477-1490
    • Zhang, Y.1    Ge, S.S.2
  • 21
    • 80053625738 scopus 로고    scopus 로고
    • Zhang neural network versus gradient neural network for solving time-varying linear inequalities
    • 2837343 10.1109/TNN.2011.2163318
    • Xiao L, Zhang Y (2011) Zhang neural network versus gradient neural network for solving time-varying linear inequalities. IEEE Trans Neural Netw 22(10): 1676-1684
    • (2011) IEEE Trans Neural Netw , vol.22 , Issue.10 , pp. 1676-1684
    • Xiao, L.1    Zhang, Y.2
  • 22
    • 67651154605 scopus 로고    scopus 로고
    • From zhang neural network to newton iteration for matrix inversion
    • 2682689 10.1109/TCSI.2008.2007065
    • Zhang Y, Ma W, Cai B (2009) From zhang neural network to newton iteration for matrix inversion. IEEE Trans Circuits Syst I 56(7): 1405-1415
    • (2009) IEEE Trans Circuits Syst i , vol.56 , Issue.7 , pp. 1405-1415
    • Zhang, Y.1    Ma, W.2    Cai, B.3
  • 23
    • 79251606792 scopus 로고    scopus 로고
    • Comparison on zhang neural dynamics and gradient-based neural dynamics for online solution of nonlinear time-varying equation
    • 10.1007/s00521-010-0452-y
    • Zhang Y, Yi C, Guo D, Zheng J (2011) Comparison on zhang neural dynamics and gradient-based neural dynamics for online solution of nonlinear time-varying equation. Neural Comput Appl 20: 1-7
    • (2011) Neural Comput Appl , vol.20 , pp. 1-7
    • Zhang, Y.1    Yi, C.2    Guo, D.3    Zheng, J.4
  • 25
    • 0000761428 scopus 로고    scopus 로고
    • Finite-time stability of continuous autonomous systems
    • 1756893 0945.34039 10.1137/S0363012997321358
    • Bhat SP, Bernstein DS (2000) Finite-time stability of continuous autonomous systems. SIAM J Control Optim 38: 751-766
    • (2000) SIAM J Control Optim , vol.38 , pp. 751-766
    • Bhat, S.P.1    Bernstein, D.S.2
  • 27
    • 1542288234 scopus 로고    scopus 로고
    • A general recurrent neural network model for time-varying matrix inversion
    • San Diego
    • Zhang Y, Ge S (2003) A general recurrent neural network model for time-varying matrix inversion, vol 6. In: Proceedings of 42nd IEEE conference on decision and control, San Diego, pp 6169 - 6174
    • (2003) Proceedings of 42nd IEEE Conference on Decision and Control , vol.6 , pp. 6169-6174
    • Zhang, Y.1    Ge, S.2
  • 28
    • 79955513952 scopus 로고    scopus 로고
    • Improved Zhang neural network model and its solution of time-varying generalized linear matrix equations
    • 10.1016/j.eswa.2010.04.007
    • Li Z, Zhang Y (2010) Improved Zhang neural network model and its solution of time-varying generalized linear matrix equations. Expert Syst Appl 37: 7213-7218
    • (2010) Expert Syst Appl , vol.37 , pp. 7213-7218
    • Li, Z.1    Zhang, Y.2
  • 29
    • 0004178386 scopus 로고    scopus 로고
    • 3 Prentice Hall Englewood Cliffs
    • Khalil HK (2001) Nonlinear Systems, 3rd edn. Prentice Hall, Englewood Cliffs
    • (2001) Nonlinear Systems
    • Khalil, H.K.1
  • 33
    • 84897028449 scopus 로고
    • Generalized inverse of matrices and its applications
    • Banerjee KS (1980) Generalized inverse of matrices and its applications. Technometrics 15(1): 471-512
    • (1980) Technometrics , vol.15 , Issue.1 , pp. 471-512
    • Banerjee, K.S.1
  • 35
    • 33748094263 scopus 로고    scopus 로고
    • Introduction to inverse kinematics with jacobian transpose, pseudoinverse and damped least squares methods
    • Buss SR (2004) Introduction to inverse kinematics with jacobian transpose, pseudoinverse and damped least squares methods, Technical report. pp 1-19
    • (2004) Technical Report , pp. 1-19
    • Buss, S.R.1
  • 36
    • 0027678195 scopus 로고
    • Regularized image reconstruction using svd and a neural network method for matrix inversion
    • 0825.68654 10.1109/78.277813
    • Steriti RJ, Fiddy MA (1993) Regularized image reconstruction using svd and a neural network method for matrix inversion. IEEE Trans Signal Process 41(10): 3074-3077
    • (1993) IEEE Trans Signal Process , vol.41 , Issue.10 , pp. 3074-3077
    • Steriti, R.J.1    Fiddy, M.A.2
  • 38
    • 38249001468 scopus 로고
    • A recurrent neural network for real-time matrix inversion
    • 1207451 0772.65015 10.1016/0096-3003(93)90007-2
    • Wang J (1993) A recurrent neural network for real-time matrix inversion. Appl Math Comput 55(1): 89-100
    • (1993) Appl Math Comput , vol.55 , Issue.1 , pp. 89-100
    • Wang, J.1
  • 39
    • 0001287194 scopus 로고
    • Pole assignment via Sylvester's equation
    • 0473.93037 10.1016/S0167-6911(82)80009-1
    • Bhattacharyya SP, Souza ED (1982) Pole assignment via Sylvester's equation. Syst Control Lett 1(4): 261-263
    • (1982) Syst Control Lett , vol.1 , Issue.4 , pp. 261-263
    • Bhattacharyya, S.P.1    Souza, E.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.