Stability and feedback stabilizability of delay periodic differential equations with pairwise permutable matrix functions-Reference-Cited by-同舟云学术

Stability and feedback stabilizability of delay periodic differential equations with pairwise permutable matrix functions

Published:2022-03-28 Issue:2 Volume:72 Page:379-396
ISSN:0139-9918
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Medveď Milan¹,Pospíšil Michal¹²

Affiliation:

1. Department of Mathematical Analysis and Numerical Mathematics , Faculty of Mathematics, Physics and Informatics Comenius University in Bratislava , Mlynská dolina 842 48 , Bratislava , Slovak Republic

2. Mathematical Institute Slovak Academy of Sciences , Štefánikova 49 814 73 , Bratislava , Slovak Republic

Abstract

Abstract Representation of solutions of delayed differential equations with multiple delays and periodic coefficients is established. Consequently, results on stabilizability of weakly delayed closed-loop systems and stability of non-weakly delayed periodic systems are proved. The stabilizability result is an extension of the classical Brunovský theorem for linear periodic systems of ordinary differential equations to a class of delay differential equations with pairwise permutable matrix functions.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2022-0026/pdf

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