Necessary stability conditions for integral delay systems

DOI

https://doi.org/10.1109/TAC.2019.2955962
Final published version

Reynaldo Ortiz
Saul Del Valle
Alexey V. Egorov
Sabine Mondie

In this article, necessary stability conditions for integral delay systems with distributed single delay are presented. Based on new properties that connect the Lyapunov delay matrix and the fundamental matrix of this class of equations, a complete type Lyapunov-Krasovskii functional is introduced. It allows us to present necessary stability conditions in terms of the delay Lyapunov matrix. The result is illustrated by some examples.

Original language	English
Article number	8913603
Pages (from-to)	4377-4384
Number of pages	8
Journal	IEEE Transactions on Automatic Control
Volume	65
Issue number	10
DOIs	https://doi.org/10.1109/TAC.2019.2955962
State	Published - Oct 2020

Research areas

Delay Lyapunov matrix, delay systems, integral delay systems, necessary stability conditions, LINEAR-SYSTEMS, Symmetric matrices, Delay systems, APPROXIMATION, DIFFERENCE-EQUATIONS, ADDITIONAL DYNAMICS, Stability criteria, Integral equations, Delays, Mathematical model, POINTWISE, FINITE SPECTRUM ASSIGNMENT

Scopus subject areas

Electrical and Electronic Engineering
Control and Systems Engineering
Computer Science Applications

ID: 70099165