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Improved Stability Criteria for Linear Neutral Time‐Delay Systems
Author(s) -
Xia Hongwei,
Zhao Pingping,
Li Li,
Wang Yanmin,
Wu Aiguo
Publication year - 2015
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.861
Subject(s) - stability (learning theory) , control theory (sociology) , stability criterion , simple (philosophy) , circle criterion , mathematics , linear matrix inequality , exponential stability , linear system , computer science , mathematical optimization , nonlinear system , mathematical analysis , control (management) , statistics , philosophy , physics , discrete time and continuous time , epistemology , quantum mechanics , artificial intelligence , machine learning
This paper is concerned with the problem of stability analysis of linear neutral time delay systems. First, a new simple Lyapunov‐Krasovskii functional is constructed based on delay partitioning approach, then, a novel improved delay‐dependent stability criterion is established to guarantee the asymptotic stability of the neutral system. The obtained stability criterion is expressed in terms of linear matrix inequalities, which can be verified easily by means of standard software. Numerical examples are given to illustrate the effectiveness of the proposed method and the advantage over some existing results.