论文信息 - Robust Stability of Multivariate Polynomials, Part 2: Polytopic Coefficient Variations

Robust Stability of Multivariate Polynomials, Part 2: Polytopic Coefficient Variations

This paper deals with robustness of stability propety of a class of multivariate polynomials, recently introduced in kharjt. The aim is to show the use of this class when analyzing stability of mutivariate polynomial families with polytopic coefficient variations. This study is developed on the basis of some known stability results for polytopic families of scattering Hurwitz stable (SHS) as well as strict sense stable (SSS) multivariate polynomials.

Vladimir L. Kharitonov | Jorge A. Torres-Muñoz | M. I. Ramirez-Sosa | V. Kharitonov | J. Torres-Muñoz

[1] Boris Polyak,et al. Frequency domain criteria for robust stability of bivariate polynomials , 1994 .

[2] Roberto Tempo,et al. An extreme point result of robust stability of a diamond of polynomials , 1992 .

[3] Nirmal K. Bose,et al. Edge property from end-points for scattering Hurwitz polynomials , 1996, Autom..

[4] Jacob Kogan,et al. Computation of stability radius for families of bivariate polynomials , 1993, Multidimens. Syst. Signal Process..

[5] Vladimir L. Kharitonov,et al. Robust Stability of Multivariate Polynomials. Part 1: Small Coefficient Perturbations , 1999, Multidimens. Syst. Signal Process..

[6] Roberto Tempo,et al. A dual result to Kharitonov's theorem , 1990 .

[7] Anders Rantzer. Stability conditions for polytopes of polynomials , 1992 .

[8] S. Basu,et al. On the multidimensional generalization of robustness of scattering Hurwitz property of complex polynomials , 1989 .

[9] Huang Lin,et al. Root locations of an entire polytope of polynomials: It suffices to check the edges , 1987, 1987 American Control Conference.

[10] S. Basu,et al. On boundary implications of stability and positivity properties of multidimensional systems , 1990, Proc. IEEE.