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A New Delay‐Dependent Stability Criterion For Neutral Delay‐Differential Systems
Author(s) -
Yang Bin,
Wang Jincheng,
Zhong Chongquan
Publication year - 2003
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 - 10.1111/j.1934-6093.2003.tb00137.x
Subject(s) - control theory (sociology) , linear matrix inequality , stability (learning theory) , mathematics , limit (mathematics) , exponential stability , differential (mechanical device) , lyapunov function , delay differential equation , differential equation , computer science , nonlinear system , mathematical optimization , mathematical analysis , control (management) , engineering , physics , quantum mechanics , artificial intelligence , machine learning , aerospace engineering
This paper investigates the problem of asymptotic stability for neutral delay‐differential systems. Using the Lyapunov method, we derive a new delay‐dependent sufficient condition for the stability of systems in terms of the linear matrix inequality (LMI). Numerical examples show that the results obtained in this paper significantly improve the estimate of stability limit over some existing results reported previously in the literature.