On the stability of real exponential polynomials with interval-valued delays
type: Item
instance of: scholarly article
title: On the stability of real exponential polynomials with interval-valued delays
zbMATH Open document ID: 0818.93057
DOI: 10.1007/BF00989279
published in: Multidimensional Systems and Signal Processing
publication date: 1995-08-20T00:00:00Z
review text: Stability of linear retarded dynamical systems with constant coefficients and finitely many interval-valued discrete delays is considered. Necessary and sufficient conditions are established for stability of the family of exponential polynomials \[ f_ T(z):= f_ 0(z)+ f_ 1(z) e^{-zT_ 1}+ f_ 2(z) e^{-zT_ 2}+\cdots + f_ n(z) e^{-zT_ n}, \] where \(0< T_ 1< T_ 2<\cdots< T_ n\) are intervals in \(\mathbb{R}_ +\), \(f_ k(z)\) are real polynomials such that \(\text{deg }f_ 0(z)> \text{deg }f_ k(z)\), \(k= 1,\dots, n\).
reviewed by: Tadeusz Kaczorek
Mathematics Subject Classification ID: 93D09
Mathematics Subject Classification ID: 34K35
Mathematics Subject Classification ID: 93C05
zbMATH DE Number: 682644
zbMATH Keywords: stability
zbMATH Keywords: linear retarded dynamical systems
zbMATH Keywords: discrete delays
author: F. G. Boese
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00989279
OpenAlex ID: W2080238324
description: scientific article; zbMATH DE number 682644