On the root distribution of general polynomials with respect to the unit circle

Benidir, M.

doi:10.1016/0165-1684(96)00077-1

Cited by 8 publications

(1 citation statement)

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“…There exists a lot of criteria to determinate the Schur stability of a polynomial, as the Schur-Cohn and Jury's criterion [9][10][11][12]. In [13,14], modified Schur-Cohn and Jury's criterion are given. With respect to polynomial families in topological sense, sufficient conditions to determine an interval of Schur polynomials are given in [15][16][17]; techniques to locate the roots inside the unit circle of a polytope of polynomials are developed; moreover, a robust Hurwitz stability criterion for polynomial intervals is proposed in [18] based on Kharitonov rectangles and in [19] set values are given for polynomials Schur stable, while a method to study the Schur stability of a segment of polynomials was reported recently in [20].…”

Section: Introductionmentioning

confidence: 99%

Robust Stability in Discrete Control Systems via Linear Controllers with Single and Delayed Time

Hernández-Galván

López-Rentería

Aguirre‐Hernández

et al. 2018

Mathematical Problems in Engineering

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In this work, a discrete feedback of single and a delayed time is introduced in a LTI control discrete system, yielding a monoparametric family of LTI systems. A polynomial approach technique to compute the maximal robust stability interval of the monoparametric system with single and delayed time controller is developed by using the zero exclusion principle and the boundary crossing theorem. Illustrative examples are given to show the technique.

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