Kharitonov's theorem extension to interval polynomials which can drop in degree: A Nyquist approach

IEEE Transactions on Automatic Control

Volumn 41, Issue 7, 1996, Pages 1009-1012

  Hernandez R ^a   Dormido, S ^a  

^a UNIVERSIDAD NACIONAL DE EDUCACIÓN A DISTANCIA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; NYQUIST DIAGRAMS; POLYNOMIALS; ROOT LOCI; SYSTEM STABILITY;

HURWITZ STABILITY; KHARITONOV THEOREM;

CONTROL THEORY;

EID: 0030189164     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.508907     Document Type: Article

References (6)

1. B. R. Barmish, New Tools for Robustness of Linear Systems. Macmillan, 1993.
2. A. Sideris and B. R. Barmish, "An edge theorem for polytopes of polynomials which can drop in degree," Syst. Contr. Lett., vol. 13, pp. 233-238, 1989.
3. T. Mori and H. Kokame, "Stability of interval polynomials with vanishing extreme coefficients," Recent Advances in Mathematical Theory of Systems, Control, Networks and Signal Processing I. Tokyo, Japan: Mita, 1992, pp. 409-414.
4. S. Dasgupta, "Kharitonov's theorem revisited," Syst. Contr. Lett., vol. 11, pp. 381-384, 1988.
5. R. J. Minnichelli, J. J. Anagnost, and C. A. Desoer, "An elementary proof of Kharitonov's stability theorem with extensions," IEEE Trans. Automat. Contr., vol. 34. pp. 995-998, 1989.
6. H. Lin, C. V. Hollot, and A. C. Bartlett, "Stability of families of polynomials: Geometric considerations in coefficient space," Int. J. Contr., vol. 45, pp. 649-660, 1987.