Sci Math | Robust stability of Metzler operator and delay equation in $L\sp p([-h,0];X)$

Sci Math

Article Contents

1. Titles

2. Authors

Robust stability of Metzler operator and delay equation in $L\sp p([-h,0];X)$

Authors: Bùi Thế Anh, Nguyễn Khoa Sơn, Dương Đặng Xuân Thành,

---

Publisher, magazine: ,

Publication year: 2006

Lưu Trích dẫn

Abstract

In this paper we study how the spectral bound of Mezler operator changes under multi-perturbations. Characterizations of the stability radius of Metzler operators with respect to this type of disturbances are established. We will then apply the obtained results to study the stability radius of delays equation in Lp([−1,0],X).

Tags: Metzler operator, stability radius, C0-semigroup, delay equations.

Trở lại

Các bài viết liên quan đến tác giả Bùi Thế Anh

Stability radii of delay difference systems under affine parameter perturbations in infinite dimensional spaces

Robust stability of Metzler operator and delay equation in $L\sp p([-h,0];X)$

Stability radii of positive linear systems under affine parameter perturbations in infinite dimensional spaces

Stability radii of positive higher order difference system in infinite dimensional spaces

Stability radii of positive linear systems under fractional perturbations

Robust stability of Metzler operators under parameter perturbations

Stability radii of positive linear time-delay systems under fractional perturbations

A Perron-Frobenius theorem for positive polynomial operators in Banach lattices

Robust stability of delay difference systems under fractional perturbations in infinite-dimensional spaces

The Robustness of Strong Stability of Positive Homogeneous Difference Systems Under Parameter Perturbations