The delay Lyapunov matrix in robust stability analysis of time-delay systems

Research output: Contribution to journal › Article › peer-review

Federal State Budgetary Educational Institution of Higher Education"Saint Petersburg State University"

DOI

https://doi.org/10.1016/j.ifacol.2015.09.385
Final published version

Alexey V. Egorov
Sabine Mondié

The maximum of the norm of the delay Lyapunov matrix function of exponentially stable linear time-delay systems is proven to be achieved at zero. We apply this result to the robust stability analysis of systems with multiple delays. We consider the cases of uncertain matrices of the system and uncertain delays.

Original language	English
Pages (from-to)	245-250
Number of pages	6
Journal	IFAC-PapersOnLine
Volume	28
Issue number	12
DOIs	https://doi.org/10.1016/j.ifacol.2015.09.385
State	Published - 1 Jul 2015

Research areas

Lyapunov matrix, Lyapunov-krasovskii functional, Robust stability, Time-delay system, Uncertain delay

Scopus subject areas

Control and Systems Engineering

ID: 9227373