Robust Stability of Multivariate Polynomials
This chapter deals with stability analysis of multivaric’ polynomials.The maximal class of polynomials is introduced such that polynomials of this class preserve stability under small variations of the coefficients. Basic properties of such stable polynomials are discussed. Some robust stability conditions are given.
KeywordsRobust Stability Univariate Polynomial Multivariate Polynomial Stability Radius Stable Polynomial
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- D. Hinrichsen and A.J. Pritchard, Real and complex stability radii: A survey; inControl of Uncertain SystemsBirkhäuser, Boston, 119–162, 1990.Google Scholar
- V.L. Kharitonov and J.A. Torres Muñoz, Robust stability of multivariate polynomials part 1: Small coefficient perturbations, Multidimensional Syst.Signal Processing10:7–20, 1998.Google Scholar
- V.L. Kharitonov, J.A. Torres Muñoz, and M.-I. Ramirez Sosa, Robust stability of multivariate polynomials Part 2: Polytopic coefficient variations, Multidimensional Syst.Signal Processing10:1–12, 1999.Google Scholar
- B.T. Polyak and S.B. Shmulyian, Frequency domain criteria for robust stability of bivariate polynomials, IEEE Trans. Circuits and Sys. 1:Fundamental Theory Appl.41:161–167, 1994.Google Scholar