论文信息 - Robust Stability of Quasipolynomials with Annular Uncertainties

Robust Stability of Quasipolynomials with Annular Uncertainties

The paper concerns Hurwitz stability of a family of quasipolynomials. Each coefficient of a quasipolynomial belongs to a prescribed annulus in the complex plane, and each delay belongs to a prescribed real interval. Computationally tractable necessary and sufficient robust stability conditions are the main result of the paper.

Ezra Zeheb | Jacob Kogan | Arie Leizarowitz | Judith Hocherman

[1] Fritz G. Boese,et al. On the stability of real exponential polynomials with interval-valued delays , 1994, Multidimens. Syst. Signal Process..

[2] Y. Li,et al. Stability analysis of polynomials with coefficients in disks , 1992 .

[3] B. T. Polyak,et al. Construction of value set for robustness analysis via circular arithmetic , 1994 .

[4] J. Kogan,et al. On exponential stability of linear systems and Hurwitz stability of characteristic quasipolynomials , 1995 .

[5] A. Olbrot,et al. Robust stability for time-delay systems: the edge theorem and graphical tests , 1989 .

[6] Jacob Kogan,et al. On stability of quasipolynomials with annular uncertainties and interval commensurate delays , 1998 .

[7] Richard Bellman,et al. Differential-Difference Equations , 1967 .

[8] B. Ross Barmish,et al. Robust stability of perturbed systems with time delays, , 1989, Autom..

[9] Domingo Docampo,et al. Robust stability of complex polynomials with annular uncertainties , 1994, Multidimens. Syst. Signal Process..

[10] Shankar P. Bhattacharyya,et al. Robust stability of a family of disc polynomials , 1990 .

[11] J. Kogan. How near is a stable polynomial to an unstable polynomial , 1992 .

[12] Y. Tsypkin,et al. Robust stability of time-delay systems with an uncertain time-delay constant , 1993 .

[13] Jacob Kogan,et al. Robust Stability and Convexity: An Introduction , 1994 .