Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
The necessary and sufficient condition for stability of K-symmetrizable interval matrix is given. An algorithm for checking stability of K-symmetrizable interval matrix is proposed.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
477--486
Opis fizyczny
Bibliogr. 11 poz.
Twórcy
autor
- Department of Mathematics, AGH University of Science and Technology, Al. Mickiewicza 30, 30-059 Cracow, kowynia@wms.mat.agh.edu.pl
Bibliografia
- Bellman, R. (1960) Introduction to Mtrix Analysis. McGraw - Hill, New York.
- Białas, S. (1985) A necessary and sufficient condition for the stability of convex combinations of stable polynomials or matrices. Bull. Pol. Ac. 33, 473-480.
- Białas, S. (1995) A generalization of the criterion that a quadratic form is positive definite. Bull. Pol. Ac. 43, 397-400.
- Fiedler, M. (1986) Special Matrices and their Applications in Numerical Mathematics. Martinus Nijhoff Publishers, Boston.
- Kowynia, J. (2000) Stability of symmetrizable interval matrices. Bull. Pol. Ac. 48, 41-48.
- Kowynia, J. (2001) Stability of an interval matrix symmetrizable by distinct diagonal matrices. Bull. Pol. Ac. 49, 433-443.
- Rohn, J. (1992) Stability of interval matrices: the real eigenvalue case. IEEE Trans. Automat. Control 37 (10), 1604-1605.
- Rohn, J. (1994) Positive definiteness and stability of interval matrices. SIAM J. Matrix Anal. Appl. 15 (1), 175-184.
- Rohn, J. (1996) An algorithm for checking stability of symmetric interval matrices. IEEE Trans. Automat. Control 41 (1), 133-136.
- Soh, C.B. (1990) Necessary and sufficient conditions for stability of symmetric interval matrices. Int. J. Control 51 (1) 243-248.
- Wang, K., Michal, A.N. and Liu, D. (1994) Necessary and sufficient conditions for the Hurwitz and Schur stability of interval matrices. IEEE Trans. Automat. Control 39 (6), 1251-1255.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0007-0099