ON THE ROBUST STABILITY OF A FAMILY OF DISK POLYNOMIALS Conference Paper uri icon

abstract

  • In his well-known theorem, V. L. Kharitonov established that Hurwitz stability of a set FIof interval polynomials with complex coefficients (polynomials whose coefficients vary in an arbitrary but prescribed rectangle of the complex plane) is equivalent to the Hurwitz stability of only eight polynomials in this set. In this study the authors consider an alternative but equally meaningful model of uncertainty by introducing a set FDof disk polynomials, characterized by the fact that each coefficient of a typical element P(s) in FDcan be any complex number in an arbitary but fixed disk of the complex plane. The result shows that the entire set is Hurwitz stable if and only if the 'center' polynomial is stable and the H-norms of two specific stable rational functions are less than one. Unlike Kharitonov's theorem, the present result can be readily applied to the Schur stability problem, and the resulting condition is equally simple.

name of conference

  • Proceedings of the 28th IEEE Conference on Decision and Control

published proceedings

  • PROCEEDINGS OF THE 28TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-3

author list (cited authors)

  • CHAPELLAT, H., BHATTACHARYYA, S. P., & DAHLEH, M.

citation count

  • 7

complete list of authors

  • CHAPELLAT, H||BHATTACHARYYA, SP||DAHLEH, M

publication date

  • January 1989