Improved stability criterion for distributed time-delay systems via a generalized delay partitioning approach

AIMS Mathematics

article

Zerong Ren¹  Junkang Tian¹ 

[1] School of Mathematics, Zunyi Normal University

关键词: delay partitioning approach;    linear matrix inequality;    Lyapunov-Krasovskii functional;    Jensen inequality;   

DOI  :  10.3934/math.2022740

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

This paper researches the problem of stability analysis for distributed time-delay systems. A newly augmented Lyapunov-Krasovskii functional (LKF) is first introduced via a generalized delay partitioning approach. Then, a less conservative stability criterion is derived by introducing a novel Jensen inequality to estimate the integral terms in the derivative of LKF. The stability condition is given in terms of linear matrix inequality. Finally, the merits of the obtained stability criterion is shown by a well-known example.

【 授权许可】

CC BY