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Volumn 389, Issue 1-3, 2004, Pages 215-225

On the semigroup of standard symplectic matrices and its applications

Author keywords

Block LU decomposition; Discrete algebraic Riccati equation; Power method; Semigroup; Standard symplectic form; Structure preserving

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; EIGENVALUES AND EIGENFUNCTIONS; PARAMETER ESTIMATION; PROBLEM SOLVING; SET THEORY;

EID: 3943079249     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2004.03.017     Document Type: Article
Times cited : (10)

References (13)
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  • 4
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  • 5
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    • The periodic Riccati equations
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    • S. Bittanti, P. Colaneri, G.D. Nicolao, The periodic Riccati equations, in: S. Bittanti, A. Laub, J. Willems (Eds.), The Riccati Equation, 1991, pp. 127-162.
    • (1991) The Riccati Equation , pp. 127-162
    • Bittanti, S.1    Colaneri, P.2    Nicolao, G.D.3
  • 8
    • 0028447254 scopus 로고
    • Numerical solution of the discrete-time periodic Riccati equation
    • Hench J.J., Laub A.J. Numerical solution of the discrete-time periodic Riccati equation. IEEE Trans. Auto. Control. 39:1994;1197-1210.
    • (1994) IEEE Trans. Auto. Control , vol.39 , pp. 1197-1210
    • Hench, J.J.1    Laub, A.J.2
  • 9
    • 0002467383 scopus 로고
    • The autonomous linear quadratic control problem, theory and numerical solution
    • Springer-Verlag, Berlin
    • V. Mehrmann, The Autonomous Linear Quadratic Control Problem, Theory and Numerical Solution, Lecture Notes in Control and Information Sciences, vol. 163, Springer-Verlag, Berlin, 1991.
    • (1991) Lecture Notes in Control and Information Sciences , vol.163
    • Mehrmann, V.1
  • 10
    • 1542296878 scopus 로고    scopus 로고
    • The MathWorks Inc., MA
    • MATLAB, Control System Toolbox Reference, ver. 5.2, The MathWorks Inc., MA, 2002. Available from < http://www.mathworks.com/access/helpdesk/help/ pdf_doc/control/reference.pdf>.
    • (2002) Control System Toolbox Reference, Ver. 5.2
  • 11
    • 0019045717 scopus 로고
    • On the numerical solution of the discrete-time algebraic Riccati equation
    • Pappas T., Laub A.J., Sandell N.R. On the numerical solution of the discrete-time algebraic Riccati equation. IEEE Trans. Auto. Control. 25:1980;631-641.
    • (1980) IEEE Trans. Auto. Control , vol.25 , pp. 631-641
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  • 12
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    • Periodic descriptor systems: Solvability and conditionability
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  • 13
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    • A generalized eigenvalue approach for solving Riccati equations
    • Van Dooren P. A generalized eigenvalue approach for solving Riccati equations. SIAM J. Sci. Stat. Comput. 2:1981;121-135.
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    • Van Dooren, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.