New Stability Criterion for Interval Time-Varying Delay Systems

Tianjiao Fan; Yanmei Yang; Chunyan Zhang; Lichao Feng

doi:10.53941/ams.2025.100006

Abstract

This paper mainly conducts an in-depth analysis for the stability of interval time-varying delay systems. Firstly, a new integral inequality is proposed to cover time-delay information of the system to the greatest extent. Secondly, with the idea of time-delay partitioning, the time-delay interval is divided into multiple non-uniform sub-intervals to consider the more detailed time-delay characteristics of the system. On this basis, Linear Matrix Inequality (LMI) is used to derive a relatively less conservative stability criterion than the conventional conclusion. Finally, the merits of the proposed stability criterion are verified via a numerical example.

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