Asymptotic Analysis of Multiple Characteristics Roots for Quasi-polynomials of Retarded-Type - Archive ouverte HAL Access content directly
Book Sections Year : 2019

Asymptotic Analysis of Multiple Characteristics Roots for Quasi-polynomials of Retarded-Type

Abstract

In this chapter, the analysis of the behavior of multiple critical roots with respect to the delay parameters for a class of quasi-polynomials is addressed. The analysis is based on the construction of the so-called Weierstrass polynomial. Several numerical examples encountered in the control literature are considered to illustrate the proposed approach.
No file

Dates and versions

hal-02350881 , version 1 (06-11-2019)

Identifiers

Cite

A. Martínez-González, Silviu-Iulian Niculescu, Jie Chen, César Fernando Méndez Barrios, José Guadalupe Romero Velázquez, et al.. Asymptotic Analysis of Multiple Characteristics Roots for Quasi-polynomials of Retarded-Type. Giorgio Valmorbida; Islam Boussaada; Alexandre Seuret; Rifat Sipahi. Delays and Interconnections: Methodology, Algorithms and Applications, 10, Springer, pp.131-151, 2019, Part of the Advances in Delays and Dynamics book series (ADVSDD), ⟨10.1007/978-3-030-11554-8_9⟩. ⟨hal-02350881⟩
44 View
0 Download

Altmetric

Share

Gmail Facebook X LinkedIn More