A note on Hurwitz stability of matrices

Automatica

Volumn 34, Issue 4, 1998, Pages 509-511

  Duan, Guang Ren ^a,b   Patton, Ron J ^a  

^a UNIVERSITY OF HULL   (United Kingdom)

^b HARBIN INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Convexity; Generalised positive definiteness; Hurwitz stability; Matrices; Simple connectivity

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; MATRIX ALGEBRA;

GENERALIZED NEGATIVE DEFINITE MATRIX; HURWITZ STABILITY; SYMMETRIC POSITIVE DEFINITE MATRIX;

CONTROL THEORY;

EID: 0032048756     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0005-1098(97)00217-3     Document Type: Article

References (4)

1. Duan, G. R., W. Y. Hu and Z. X. Wang (1996). A note on quadratic stability of matrix families. J. Harbin Inst. Technol. (English Edn.), E-3(1), 26-28.
2. Duan, G. R. and M. Z. Wang (1994). Properties of the entire set of Hurwitz polynomials and stability analysis of polynomial families. IEEE Trans. Automat. Control, 39(2), 2490-2494.
3. Duan, G. R., S. J. Xu and W. H. Huang (1989). Generalised positive definite matrices and applications in stability analysis. Acta Mechanica Sinica, 21(6), 259-264 (in Chinese).
4. Duan, G. R. and Z. X. Wang (1996). Simple connectivity of the D-stability domain and D-stability of polynomial families. In Proc. 35th IEEE Conf. on Decision and Control, Kobe, Japan, 11-13 December, 1301-1302.