An algorithm for checking Hurwitz stability of K-symmetrizable interval matrices

• Autorzy: Kowynia J.
• Języki publikacji: EN

Abstrakty

EN

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

EN

symmetrizable matrix; interval matrix; positive definite matrix

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2005
• Tom: Vol. 34, no 2
• Strony: 477--486
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Kowynia J.

• Department of Mathematics, AGH University of Science and Technology, Al. Mickiewicza 30, 30-059 Cracow,

Bibliografia

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• 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.