Computational method to analyse the stability of interval matrices

IEE Proceedings: Control Theory and Applications

Volumn 151, Issue 6, 2004, Pages 669-674

  Carotenuto, L ^a   Franze G ^a   Muraca, P ^a  

^a UNIVERSITY OF CALABRIA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; EIGENVALUES AND EIGENFUNCTIONS; MATRIX ALGEBRA; PARAMETER ESTIMATION; POLYNOMIALS; STABILITY; UNCERTAIN SYSTEMS;

GERSHGORIN'S THEOREM; INTERVAL MATRIX; NOMINAL SYSTEM; VERTEX MATRICES;

LINEAR SYSTEMS;

EID: 10944222720     PISSN: 13502379     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1049/ip-cta:20040907     Document Type: Conference Paper

References (9)

1. Barmish, B.R.: 'New tools for robustness of linear systems' (Macmillan, New York, 1994)
2. Bialas, S.: 'A necessary and sufficient condition for the stability of interval matrices', Int. J. Control, 1983, 37, pp. 717-722
3. Jiang, C.I.: 'Sufficient and necessary conditions for the asymptotic stability of discrete linear interval systems', Int. J. Control, 1988, 47, pp. 1563-1565
4. Soh, C.B.: 'Necessary and sufficient conditions for stability of symmetric interval matrices', Int. J. Control, 1990, 51, pp. 243-248
5. Yedavally, R.K.: 'An "extreme point" necessary and sufficient condition for checking interior instability of interval matrices in the march towards a necessary and sufficient result'. Proc. 37th IEEE Conf. on Decision and Control, Tampa, Fl., 16-18 December 1998, pp. 2780-2785
6. Bhattacharyya, S.P., Chapellat, H., and Keel, L.H.: 'Robust control, the parametric approach' (Prentice Hall, Upper Saddle River, NJ, 1995)
7. Xu, S.J., Darouach, M., and Schaefers, J.: 'Expansion of det(A + B) and robustness analysis of uncertain state space system', IEEE Trans. Autom. Control, 1993, 38, pp. 1671-1675
8. Juang, Y.T., and Shao, C.S.: 'Stability analysis of dynamic interval systems', Int. J. Control, 1989, 49, pp. 1401-1408
9. Horn, R.A., and Johnson, C.R.: 'Matrix Analysis' (Cambridge University Press, Cambridge, UK, 1985)