Title :
How near is a stable polynomial to an unstable polynomial?
Author_Institution :
Dept. of Math., Maryland Univ., Baltimore, MD, USA
fDate :
8/1/1992 12:00:00 AM
Abstract :
Frequency response techniques are applied to the problem of robust Hurwitz stability of a family of polynomials with complex coefficients. The distance between two polynomials is measured by a weighted lp norm, 0>p⩽Ω. Necessary and sufficient conditions for robust stability, as well as formulas for the stability radius and a minimal norm destabilizing polynomial are provided. This work is motivated by and follows the spirit of a result reported by Y.Z. Tsypkin and B.T. Polyak (see IEEE Trans. on Autom. Control, vol.36, p.1464-9, 1991)
Keywords :
control system analysis; polynomials; stability; complex coefficients; minimal norm destabilizing polynomial; robust Hurwitz stability; stability radius; stable polynomial; unstable polynomial; Adaptive signal processing; Circuits and systems; Fading; Frequency response; Integral equations; Mathematical analysis; Nonlinear equations; Nonlinear filters; Polynomials; Robust stability;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
