메뉴 건너뛰기




Volumn 15, Issue 2, 2007, Pages 125-135

Neuro approach for solving Matrix Riccati Differential Equation

Author keywords

Levenberg marquardt algorithm; Matrix riccati differential equation; Neural networks; RK butcher method; RK method

Indexed keywords


EID: 53449097546     PISSN: 10615369     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (14)

References (20)
  • 1
    • 33751540350 scopus 로고    scopus 로고
    • Solution of matrix Riccati differential equation for the linear quadratic singular system using neural networks
    • P. Balasubramaniam, J. Abdul Samath, N. Kumaresan, A. Vincent Antony Kumar, Solution of matrix Riccati differential equation for the linear quadratic singular system using neural networks, Appl. Math. Comput., 182 (2006), 1832-1839.
    • (2006) Appl. Math. Comput. , vol.182 , pp. 1832-1839
    • Balasubramaniam, P.1    Samath, J.A.2    Kumaresan, N.3    Kumar, A.V.A.4
  • 2
    • 69549097120 scopus 로고    scopus 로고
    • Optimal control for nonlinear singular systems with quadratic performance using neural networks
    • (in press
    • P. Balasubramaniam, J. Abdul Samath, N. Kumaresan, Optimal control for nonlinear singular systems with quadratic performance using neural networks, Appl. Math. Comput., (2006) (in press).
    • (2006) Appl. Math. Comput.
    • Balasubramaniam, P.1    Samath, J.A.2    Kumaresan, N.3
  • 3
    • 0025547705 scopus 로고
    • A survey of numerical methods for solving matrix Riccati differential equation
    • C. H. Choi, A survey of numerical methods for solving matrix Riccati differential equation, Proceedings of Southeastcon, (1990), 696-700.
    • (1990) Proceedings of Southeastcon , pp. 696-700
    • Choi, C.H.1
  • 4
    • 84974231501 scopus 로고
    • Aspects of the numerical analysis of neural networks
    • S. W. Ellacott, 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
  • 7
    • 0000892134 scopus 로고
    • An overview on the solutions of the algebraic matrix Riccati equation and related problems
    • M. Jamshidi, An overview on the solutions of the algebraic matrix Riccati equation and related problems, Large scale Systems, 1 (1980), 167-192.
    • (1980) Large scale Systems , vol.1 , pp. 167-192
    • Jamshidi, M.1
  • 8
    • 21144478176 scopus 로고
    • Closed analytical solution of Riccati type matrix differential equations
    • L. Jodar, E. Navarro, Closed analytical solution of Riccati type matrix differential equations, Indian J. Pure and Appl. Math., 23 (1992), 185-187.
    • (1992) Indian J. Pure and Appl. Math. , vol.23 , pp. 185-187
    • Jodar, L.1    Navarro, E.2
  • 9
    • 0027699924 scopus 로고
    • Identification and decentralized adaptive control using neural networks with application to robotic manipulators
    • A. Karakasoglu, S. L. Sudharsanan, M. K. Sundareshan, Identification and decentralized adaptive control using neural networks with application to robotic manipulators, IEEE Transactions on Neural Networks, 4 (1993), 919-930.
    • (1993) IEEE Transactions on Neural Networks , vol.4 , pp. 919-930
    • Karakasoglu, A.1    Sudharsanan, S.L.2    Sundareshan, M.K.3
  • 10
    • 0028427617 scopus 로고
    • Analytic solution of the Riccati equation for the homing missile linear quadratic control problem
    • N. Lovren, M.Tomic, Analytic solution of the Riccati equation for the homing missile linear quadratic control problem, J. Guidance. Cont. Dynamics , 17 (1994), 619-621.
    • (1994) J. Guidance. Cont. Dynamics , vol.17 , pp. 619-621
    • Lovren, N.1    Tomic, M.2
  • 12
    • 0003396258 scopus 로고    scopus 로고
    • Neural network based system indentification toolbox
    • 97-E-851, Department of Automation, Technical University of Denmark
    • M. Norgaard, Neural Network Based System Indentification Toolbox, Technical Report, 97-E-851, Department of Automation, Technical University of Denmark, 1997.
    • (1997) Technical Report
    • Norgaard, M.1
  • 13
    • 0010593434 scopus 로고    scopus 로고
    • A Schur method for the solution of the matrix Riccati equation
    • M. Razzaghi, 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
  • 14
    • 0018020841 scopus 로고
    • Solution of the matrix Riccati equation in optimal control
    • M. Razzaghi, Solution of the matrix Riccati equation in optimal control, Information Sci., 16 (1978), 61-73.
    • (1978) Information Sci. , vol.16 , pp. 61-73
    • Razzaghi, M.1
  • 15
    • 0010595297 scopus 로고
    • A computational solution for a matrix Riccati differential equation
    • M. Razzaghi, A computational solution for a matrix Riccati differential equation, Numerische Math., 32 (1979), 271-279.
    • (1979) Numerische Math. , vol.32 , pp. 271-279
    • Razzaghi, M.1
  • 16
    • 0010555155 scopus 로고
    • A negative exponential solution for the matrix Riccati equation
    • D.R. Vaughu, 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
  • 18
    • 0032122266 scopus 로고    scopus 로고
    • A multilayer recurrent neural network for solving continuous time algebraic Riccati equations
    • J. Wang, G. Wu, 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
  • 19
    • 27844586682 scopus 로고    scopus 로고
    • A numerical analysis of stochastic neural networks
    • B. Zhang, D. Kannan, A numerical analysis of stochastic neural networks, Neural Parallel Sci. Comput., 8(3-4)(2000), 209-241.
    • (2000) Neural Parallel Sci. Comput. , vol.8 , Issue.3-4 , pp. 209-241
    • Zhang, B.1    Kannan, D.2
  • 20
    • 0024066049 scopus 로고    scopus 로고
    • ∞ optimization
    • K. Zhou, Khargonekar, An algebraic Riccati equation approach to H∞ optimization, Systems and Control Letters, 11 (1998), 85-91.
    • (1998) Systems and Control Letters , vol.11 , pp. 85-91
    • Zhou, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.