메뉴 건너뛰기




Volumn 182, Issue 2, 2006, Pages 1832-1839

Solution of matrix Riccati differential equation for the linear quadratic singular system using neural networks

Author keywords

Differential equation; Linear; Matrix Riccati; Optimal control; Quadratic; Runge Kutta Butcher method and neural networks; Runge Kutta method; Singular system

Indexed keywords

COMPUTATIONAL METHODS; DIFFERENTIAL EQUATIONS; MATRIX ALGEBRA; NEURAL NETWORKS; OPTIMAL CONTROL SYSTEMS; QUADRATIC PROGRAMMING; RUNGE KUTTA METHODS;

EID: 33751540350     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.06.020     Document Type: Article
Times cited : (41)

References (22)
  • 4
    • 2442537391 scopus 로고
    • Quadratic control for linear periodic systems
    • Da Prato G., and Ichikawa A. Quadratic control for linear periodic systems. Appl. Math. Optim. 18 (1988) 39-66
    • (1988) Appl. Math. Optim. , vol.18 , pp. 39-66
    • Da Prato, G.1    Ichikawa, A.2
  • 5
    • 84974231501 scopus 로고
    • Aspects of the numerical analysis of neural networks
    • Ellacott S.W. Aspects of the numerical analysis of neural networks. Acta Numer. 5 (1994) 145-202
    • (1994) Acta Numer. , vol.5 , pp. 145-202
    • Ellacott, S.W.1
  • 6
    • 84960444647 scopus 로고    scopus 로고
    • M. Gaiceanu, E. Rosu, A.-M. Tataru, Neuro-optimal controller for three-phase induction motor based on Levenberg-Marquardt training algorithm, in: Proceedings Power Con. IEEE Conference on Power System Technology, vol. 1, 2000, pp. 97-102.
  • 7
    • 0029749574 scopus 로고    scopus 로고
    • F.M. Ham, E.G. Collins, A neurocomputing approach for solving the algebraic matrix Riccati equation, in: Proceedings IEEE International Conference on Neural Networks, vol. 1, 1996, pp. 617-622.
  • 8
    • 20444452359 scopus 로고    scopus 로고
    • A Levenberg-Marquardt iterative solver for least-squares problems
    • Ho H.W., and Wong S.C. A Levenberg-Marquardt iterative solver for least-squares problems. Commun. Numer. Meth. Eng. 21 (2005) 327-335
    • (2005) Commun. Numer. Meth. Eng. , vol.21 , pp. 327-335
    • Ho, H.W.1    Wong, S.C.2
  • 9
    • 0000892134 scopus 로고
    • An overview on the solutions of the algebraic matrix Riccati equation and related problems
    • Jamshidi M. An overview on the solutions of the algebraic matrix Riccati equation and related problems. Large Scale Syst. 1 (1980) 167-192
    • (1980) Large Scale Syst. , vol.1 , pp. 167-192
    • Jamshidi, M.1
  • 10
    • 21144478176 scopus 로고
    • Closed analytical solution of Riccati type matrix differential equations
    • Jodar L., and Navarro E. Closed analytical solution of Riccati type matrix differential equations. Indian J. Pure Appl. Math. 23 (1992) 185-187
    • (1992) Indian J. Pure Appl. Math. , vol.23 , pp. 185-187
    • Jodar, L.1    Navarro, E.2
  • 11
    • 0027699924 scopus 로고
    • Identification and decentralized adaptive control using neural networks with application to robatic manipulators
    • Karakasoglu A., Sudharsanan S.L., and Sundareshan M.K. Identification and decentralized adaptive control using neural networks with application to robatic manipulators. IEEE Trans. Neural Networks 4 (1993) 919-930
    • (1993) IEEE Trans. Neural Networks , vol.4 , pp. 919-930
    • Karakasoglu, A.1    Sudharsanan, S.L.2    Sundareshan, M.K.3
  • 12
    • 0022945161 scopus 로고
    • A survey of linear singular systems
    • Lewis F.L. A survey of linear singular systems. Circ. Syst. Signal Process. 5 1 (1986) 3-36
    • (1986) Circ. Syst. Signal Process. , vol.5 , Issue.1 , pp. 3-36
    • Lewis, F.L.1
  • 13
    • 0028427617 scopus 로고
    • Analytic solution of the Riccati equation for the homing missile linear quadratic control problem
    • Lovren N., and Tomic M. Analytic solution of the Riccati equation for the homing missile linear quadratic control problem. J. Guid. Control Dyn. 17 (1994) 619-621
    • (1994) J. Guid. Control Dyn. , vol.17 , pp. 619-621
    • Lovren, N.1    Tomic, M.2
  • 14
    • 0025399567 scopus 로고
    • Identification and control of dynamical systems using neural networks
    • Narendra K.S., and Parathasarathy K. Identification and control of dynamical systems using neural networks. IEEE Trans. Neural Networks 1 (1990) 4-27
    • (1990) IEEE Trans. Neural Networks , vol.1 , pp. 4-27
    • Narendra, K.S.1    Parathasarathy, K.2
  • 15
    • 33751529530 scopus 로고    scopus 로고
    • M. Norgaard, Neural network based system indentification toolbox, Technical Report, 97-E-851, Department of Automation, Technical University of Denmark, 1997.
  • 16
    • 0010593434 scopus 로고    scopus 로고
    • A Schur method for the solution of the matrix Riccati equation
    • Razzaghi M. A Schur method for the solution of the matrix Riccati equation. Int. J. Math. Math. Sci. 20 (1997) 335-338
    • (1997) Int. J. Math. Math. Sci. , vol.20 , pp. 335-338
    • Razzaghi, M.1
  • 17
    • 0018020841 scopus 로고
    • Solution of the matrix Riccati equation in optimal control
    • Razzaghi M. Solution of the matrix Riccati equation in optimal control. Inform. Sci. 16 (1978) 61-73
    • (1978) Inform. Sci. , vol.16 , pp. 61-73
    • Razzaghi, M.1
  • 18
    • 0010595297 scopus 로고
    • A computational solution for a matrix Riccati differential equation
    • Razzaghi M. A computational solution for a matrix Riccati differential equation. Numer. Math. 32 (1979) 271-279
    • (1979) Numer. Math. , vol.32 , pp. 271-279
    • Razzaghi, M.1
  • 19
    • 0010555155 scopus 로고
    • A negative exponential solution for the matrix Riccati equation
    • Vaughu D.R. A negative exponential solution for the matrix Riccati equation. IEEE Trans. Automat. Control 14 (1969) 72-75
    • (1969) IEEE Trans. Automat. Control , vol.14 , pp. 72-75
    • Vaughu, D.R.1
  • 21
    • 0032122266 scopus 로고    scopus 로고
    • A multilayer recurrent neural network for solving continuous-time algebraic Riccati equations
    • Wang J., and Wu G. A multilayer recurrent neural network for solving continuous-time algebraic Riccati equations. Neural Networks 11 (1998) 939-950
    • (1998) Neural Networks , vol.11 , pp. 939-950
    • Wang, J.1    Wu, G.2
  • 22
    • 0024066049 scopus 로고    scopus 로고
    • An algebraic Riccati equation approach to H optimization
    • Zhou K., and Khargonekar. An algebraic Riccati equation approach to H optimization. Syst. Control Lett. 11 (1998) 85-91
    • (1998) Syst. Control Lett. , vol.11 , pp. 85-91
    • Zhou, K.1    Khargonekar2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.