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Volumn 192, Issue 1, 2007, Pages 78-89

Optimal control for linear singular system using genetic programming

Author keywords

Grammatical evolution and genetic programming; Linear singular system; Matrix Riccati differential equation; Optimal control; Runge Kutta method

Indexed keywords

DIFFERENTIAL EQUATIONS; GENETIC PROGRAMMING; LINEAR SYSTEMS; MATRIX ALGEBRA; NUMERICAL METHODS; RUNGE KUTTA METHODS;

EID: 34548401751     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2007.02.122     Document Type: Article
Times cited : (22)

References (31)
  • 1
    • 33751540350 scopus 로고    scopus 로고
    • Solution of matrix Riccati differential equation for the linear quadratic singular system using neural networks
    • Balasubramaniam P., Abdul Samath J., Kumaresan N., and Vincent Antony Kumar A. Solution of matrix Riccati differential equation for the linear quadratic singular system using neural networks. Appl. Math. Comput. 2 (2006) 1832-1839
    • (2006) Appl. Math. Comput. , vol.2 , pp. 1832-1839
    • Balasubramaniam, P.1    Abdul Samath, J.2    Kumaresan, N.3    Vincent Antony Kumar, A.4
  • 2
    • 34247262520 scopus 로고    scopus 로고
    • P. Balasubramaniam, J. Abdul Samath, N. Kumaresan, Optimal control for nonlinear singular systems with quadratic performance using neural networks, Appl. Math. Comput., in press, doi:10.1016/j.amc.2006.09.072.
  • 4
    • 0025547705 scopus 로고    scopus 로고
    • A survey of numerical methods for solving Matrix Riccati differential equations
    • Choi C.H. A survey of numerical methods for solving Matrix Riccati differential equations. Proc. IEEE Conf. Southeaston 1 (1999) 696-700
    • (1999) Proc. IEEE Conf. Southeaston , vol.1 , pp. 696-700
    • Choi, C.H.1
  • 5
    • 0000984146 scopus 로고    scopus 로고
    • Evolutionary modeling on system of ordinary differential equation with genetic programming
    • Cao H., Kang L., Chen Y., and Yu J. Evolutionary modeling on system of ordinary differential equation with genetic programming. Genetic Programming and Evolvable Machines 1 (2000) 309-337
    • (2000) Genetic Programming and Evolvable Machines , vol.1 , pp. 309-337
    • Cao, H.1    Kang, L.2    Chen, Y.3    Yu, J.4
  • 8
    • 0000579727 scopus 로고
    • Solvability of general differential-algebraic equations
    • Campbell S.L., and Griepentrog E. Solvability of general differential-algebraic equations. SIAM J. Sci. Comput. 16 (1995) 257-270
    • (1995) SIAM J. Sci. Comput. , vol.16 , pp. 257-270
    • Campbell, S.L.1    Griepentrog, E.2
  • 10
    • 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
  • 12
    • 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 Systems 1 (1980) 167-192
    • (1980) Large Scale Systems , vol.1 , pp. 167-192
    • Jamshidi, M.1
  • 13
    • 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
  • 17
    • 0032165970 scopus 로고    scopus 로고
    • Artificial neural networks for solving ordinary and partial differential equations
    • Lagaris I.E., Likas A., and Fotiadis D.I. Artificial neural networks for solving ordinary and partial differential equations. IEEE Trans. Neural Networks 9 (1998) 987-1000
    • (1998) IEEE Trans. Neural Networks , vol.9 , pp. 987-1000
    • Lagaris, I.E.1    Likas, A.2    Fotiadis, D.I.3
  • 18
    • 0022945161 scopus 로고
    • A survey of linear singular systems
    • Lewis F.L. A survey of linear singular systems. Circ. Syst. Sig. Proc. 5 1 (1986) 3-36
    • (1986) Circ. Syst. Sig. Proc. , vol.5 , Issue.1 , pp. 3-36
    • Lewis, F.L.1
  • 19
    • 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. Guidance. Cont. Dyn. 17 (1994) 619-621
    • (1994) J. Guidance. Cont. Dyn. , vol.17 , pp. 619-621
    • Lovren, N.1    Tomic, M.2
  • 20
    • 0031153078 scopus 로고    scopus 로고
    • Steady-state modelling of chemical process systems using genetic programming
    • Mckay B., Wills M., and Barton G. Steady-state modelling of chemical process systems using genetic programming. Comput. Chem. Eng. 1 (1997) 981-996
    • (1997) Comput. Chem. Eng. , vol.1 , pp. 981-996
    • Mckay, B.1    Wills, M.2    Barton, G.3
  • 23
    • 1642418149 scopus 로고    scopus 로고
    • Grammatical evolution: evolutionary automatic programming in an arbitary language
    • Kluwer Academic Publishers
    • O'Neill M., and Ryan C. Grammatical evolution: evolutionary automatic programming in an arbitary language. Genetic Programming vol. 4 (2003), Kluwer Academic Publishers
    • (2003) Genetic Programming , vol.4
    • O'Neill, M.1    Ryan, C.2
  • 24
    • 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
  • 25
    • 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
  • 26
    • 33646733021 scopus 로고    scopus 로고
    • Solving differential equations with genetic programming
    • Tsoulos I.G., and Lagaris I.E. Solving differential equations with genetic programming. Genet. Program Evolvable Mach. 7 (2006) 33-54
    • (2006) Genet. Program Evolvable Mach. , vol.7 , pp. 33-54
    • Tsoulos, I.G.1    Lagaris, I.E.2
  • 27
    • 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
  • 28
    • 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
  • 29
    • 34548399419 scopus 로고    scopus 로고
    • K.C. Sharman, A.I. Esparcia Alcazar, Y. Li, Evolving signal processing algorithms by genetic programming, in: Proceeding of the Third Annual Conference, 1998, pp. 359-364.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.