On the stability of quasipolynomials with weighted diamond coefficients
type: Item
instance of: scholarly article
title: On the stability of quasipolynomials with weighted diamond coefficients
zbMATH Open document ID: 0818.93056
DOI: 10.1007/BF00989280
author: Judith Hocherman
author: Jacob Kogan
author: Ezra Zeheb
author: V. L. Kharitonov
published in: Multidimensional Systems and Signal Processing
publication date: 1994-11-06T00:00:00Z
review text: The robust stability of families of time delay systems with multiple interval delays and complex weighted diamond coefficients is considered. Three families of quasipolynomials with weighted diamond coefficients are investigated. Edge-type stability criteria for the quasipolynomials are established. It is shown that regardless of the number of uncertain delays, a testing subfamily of diamond quasipolynomials with interval commensurate delays consists of only eight one-parameter quasipolynomials. If the delays are fixed then the testing subfamily consists of eight quasipolynomials only.
reviewed by: Tadeusz Kaczorek
Mathematics Subject Classification ID: 93D09
Mathematics Subject Classification ID: 34K35
zbMATH DE Number: 682645
zbMATH Keywords: robust stability
zbMATH Keywords: time delay
zbMATH Keywords: quasipolynomials
MaRDI profile type: Publication
cites work: Q4196736
cites work: A dual result to Kharitonov's theorem
cites work: An extreme point result of robust stability of a diamond of polynomials
cites work: Robust stability for time-delay systems: the edge theorem and graphical tests
cites work: Robust stability of perturbed systems with time delays
cites work: Vertex implications of stability for a class of delay-differential interval system
cites work: Comment, with reply, on "Vertex implications of stability for a class of delay-differential interval system" by K.D. Kim and N.K. Bose
cites work: On the asymptotic behavior of solutions of differential-difference equations of neutral type
cites work: Differential-difference equations
cites work: Theory of functional differential equations. 2nd ed
cites work: On exponential stability of linear systems and Hurwitz stability of characteristic quasipolynomials
cites work: On the zeros of some transcendental functions
cites work: Hurwitz stability of weighted diamond polynomials
cites work: Q4035602
cites work: Stability of families of quasipolynomials of neutral type
cites work: A New Representation of a Stability Result of N. D. Hayes
description: scientific article; zbMATH DE number 682645