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Volumn 420, Issue 2-3, 2007, Pages 672-685

Tensor conditions for the existence of a common solution to the Lyapunov equation

Author keywords

Common quadratic Lyapunov function; Lyapunov equation; Stability theory; Switched linear systems

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; LINEAR SYSTEMS; LYAPUNOV METHODS; MATRIX ALGEBRA; PROBLEM SOLVING;

EID: 33750970014     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2006.09.005     Document Type: Article
Times cited : (21)

References (10)
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  • 4
    • 0036812196 scopus 로고    scopus 로고
    • A new methodology for the stability analysis of pairwise triangularizable and related switching systems
    • Shorten R., and Cairbre F.O. A new methodology for the stability analysis of pairwise triangularizable and related switching systems. IMA J. Appl. Math. 67 5 (2002) 441-457
    • (2002) IMA J. Appl. Math. , vol.67 , Issue.5 , pp. 441-457
    • Shorten, R.1    Cairbre, F.O.2
  • 5
    • 0023344195 scopus 로고
    • An iterative method of Lyapunov function construction for differential inclusions
    • Kamenetski V.A., and Pyatnitskiy Y. An iterative method of Lyapunov function construction for differential inclusions. Systems Control Lett. 8 (1987) 445-451
    • (1987) Systems Control Lett. , vol.8 , pp. 445-451
    • Kamenetski, V.A.1    Pyatnitskiy, Y.2
  • 6
    • 29444454149 scopus 로고    scopus 로고
    • Singularity conditions for the non-existence of a common quadratic Lyapunov function for pairs of third order linear time invariant dynamic systems
    • Shorten R., and King C. Singularity conditions for the non-existence of a common quadratic Lyapunov function for pairs of third order linear time invariant dynamic systems. Linear Algebra Appl. 413 1 (2006) 24-35
    • (2006) Linear Algebra Appl. , vol.413 , Issue.1 , pp. 24-35
    • Shorten, R.1    King, C.2
  • 7
    • 0004151494 scopus 로고
    • Cambridge University Press, Cambridge corrected reprint of the 1985 original
    • Horn R.A., and Johnson C.R. Matrix Analysis (1990), Cambridge University Press, Cambridge corrected reprint of the 1985 original
    • (1990) Matrix Analysis
    • Horn, R.A.1    Johnson, C.R.2
  • 8
    • 33751012128 scopus 로고    scopus 로고
    • T. Laffey, H. Šmigoc, Common solution to the Lyapunov equation for 2 × 2 complex matrices, Linear Algebra Appl., in press, doi:10.1016/j.laa.2006.08.028.
  • 9
    • 33750989166 scopus 로고    scopus 로고
    • N. Cohen, I. Lewkowicz, Robust quadratic stability and convex invertible cones of matrices, Technical Report No. 797, Department of Electrical Engineering, Technion IIT, August 1991.
  • 10
    • 0036936621 scopus 로고    scopus 로고
    • Necessary and sufficient conditions for the existence of a common quadratic Lyapunov function for a finite number of stable second order linear time-invariant systems
    • Shorten R.N., and Narendra K.S. Necessary and sufficient conditions for the existence of a common quadratic Lyapunov function for a finite number of stable second order linear time-invariant systems. Int. J. Adapt. Control Signal Process. 16 (2002) 709-728
    • (2002) Int. J. Adapt. Control Signal Process. , vol.16 , pp. 709-728
    • Shorten, R.N.1    Narendra, K.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.