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Improved exponential estimates for neutral systems
Author(s) -
Shu Zhan,
Lam James,
Xu Shengyuan
Publication year - 2009
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.102
Subject(s) - exponential stability , exponential function , control theory (sociology) , mathematics , stability (learning theory) , computer science , control (management) , nonlinear system , mathematical analysis , artificial intelligence , physics , quantum mechanics , machine learning
Improved exponential estimates and a new sufficient condition for the exponential stability of neutral type time‐delay systems are established in terms of linear matrix inequalities (LMIs). A new Lyapunov‐Krasovskii functional candidate with appropriately constructed exponential terms is introduced to prove the exponential stability and to reduce the conservatism. For the uncertain case, a corresponding condition for the robust exponential stability is also given. It is shown by numerical examples that the proposed conditions are less conservative than existing results. Copyright © 2009 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society