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IMA Journal of Mathematical Control and Information 2003 20(4):371-386; doi:10.1093/imamci/20.4.371
© 2003 by Institute of Mathematics and its Applications
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Stability criteria for a class of linear neutral systems with time-varying discrete and distributed delays

Qing-Long Han1

1 Faculty of Informatics and Communication, Central Queensland University, Rockhampton, Qld 4702, Australia

The robust stability of uncertain linear neutral systems with time-varying discrete and distributed delays is investigated by employing a descriptor model transformation and the decomposition technique of the discrete-delay term matrix. The proposed delay-dependent stability criteria are formulated in the form of a linear matrix inequality. Numerical examples are given to indicate significant improvements over some existing results.

Keywords: stability; discrete delay; distributed delay; neutral system; linear matrix inequality (LMI).


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