메뉴 건너뛰기




Volumn 43, Issue 7, 2007, Pages 1156-1164

System theory for numerical analysis

Author keywords

Absolute stability; Internal model principle; Linear matrix inequality; Lur'e control systems; Newton's method; Numerical analysis; Stability of numerical methods; System theory

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; NEWTON-RAPHSON METHOD; NONLINEAR EQUATIONS; NUMERICAL ANALYSIS; STABILITY CRITERIA;

EID: 34249055817     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2006.12.028     Document Type: Article
Times cited : (29)

References (14)
  • 1
    • 85128530978 scopus 로고    scopus 로고
    • Bhaya, A., & Kaszkurewicz, E. (2003). Iterative methods as dynamical systems with feedback control. In Proceedings of the 42nd IEEE conference on decision and control (pp. 2374-2380).
  • 2
    • 85128579751 scopus 로고    scopus 로고
    • Bhaya, A., & Kaszkurewicz, E. (2004). Newton algorithms via control Liapunov functions for polynomial zero finding. In Proceedings of the 43rd IEEE conference on decision and control (pp. 1629-1634).
  • 4
    • 0016592726 scopus 로고
    • The internal model principle for linear multivariable regulators
    • Francis B.A., and Wonham W.M. The internal model principle for linear multivariable regulators. Applied Mathematics and Optimization 2 (1975) 170-194
    • (1975) Applied Mathematics and Optimization , vol.2 , pp. 170-194
    • Francis, B.A.1    Wonham, W.M.2
  • 5
    • 0000687568 scopus 로고
    • A PI stepsize controller for the numerical solution of ordinary differential equations
    • Gustafsson K., Lundh M., and Söderlind G. A PI stepsize controller for the numerical solution of ordinary differential equations. BIT 28 (1988) 270-287
    • (1988) BIT , vol.28 , pp. 270-287
    • Gustafsson, K.1    Lundh, M.2    Söderlind, G.3
  • 6
    • 12944249246 scopus 로고    scopus 로고
    • Generalized KYP lemma: Unified frequency domain inequalities with design applications
    • Iwasaki T., and Hara S. Generalized KYP lemma: Unified frequency domain inequalities with design applications. IEEE Transactions on Automatic Control 50 1 (2005) 41-59
    • (2005) IEEE Transactions on Automatic Control , vol.50 , Issue.1 , pp. 41-59
    • Iwasaki, T.1    Hara, S.2
  • 12
    • 0035437156 scopus 로고    scopus 로고
    • The shooting method for the solution of ordinary differential equations: A control-theoretical perspective
    • Schaerer C.E., and Kaszkurewicz E. The shooting method for the solution of ordinary differential equations: A control-theoretical perspective. International Journal of Systems Science 32 (2001) 1047-1053
    • (2001) International Journal of Systems Science , vol.32 , pp. 1047-1053
    • Schaerer, C.E.1    Kaszkurewicz, E.2
  • 13
    • 38249025076 scopus 로고
    • Algebraic characterization of A-stable Runge-Kutta methods
    • Scherer R., and Türke H. Algebraic characterization of A-stable Runge-Kutta methods. Applied Numerical Mathematics 5 (1989) 133-144
    • (1989) Applied Numerical Mathematics , vol.5 , pp. 133-144
    • Scherer, R.1    Türke, H.2
  • 14
    • 34249010296 scopus 로고    scopus 로고
    • Wakasa, Y., & Yamamoto, Y. (2001). An iterative method for solving linear equations by using robust control methods (in Japanese). In Proceedings of SICE first annual conference on control systems (pp. 451-454).


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.