New delay dependent stability criterion for linear system with time varying delay using wirtinger’s inequality

Journal of Engineering Research

RamaKoteswaraRao Alla¹ 

[1] Research Scholar

关键词: Linear matrix inequality;    linear system;    time varying delay;    stability;    wirtinger’s inequality.;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: Kuwait University * Academic Publication Council

【 摘 要 】

The paper proposes a new delay dependent stability criterion for linear systems with time varying delays, using Wirtinger’s inequality. The objective of the paper is to propose a novel stability condition by incorporating the strength of the recently reported Wirtinger’s inequality which gives superior results. The proposed stability criterion provides less conservative estimate of system stability with improved upper delay bounds. With an appropriate Lyapunov-Krasovskii functional and using the Wirtinger’s inequality, the stability criterion for time varying delays has been derived in terms of Linear Matrix Inequalities. The proposed stability criterion has been applied on standard example problems. The results prove the efficacy of the proposed criterion with reduced conservatism over the existing results in the literature.

【 授权许可】

Unknown