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New delay-dependent stability criteria and stabilizing method for neutral systems

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3 Author(s)
Min Wu ; Sch. of Inf. Sci. & Eng., Central South Univ., Changsha, China ; Yong He ; Jin-hua She

This note concerns delay-dependent robust stability criteria and a design method for stabilizing neutral systems with time-varying structured uncertainties. A new way of deriving such criteria is presented that combines the parameterized model transformation method with a method that takes the relationships between the terms in the Leibniz-Newton formula into account. The relationships are expressed as free weighting matrices obtained by solving linear matrix inequalities. Moreover, the stability criteria are also used to design a stabilizing state-feedback controller. Numerical examples illustrate the effectiveness of the method and the improvement over some existing methods.

Published in:

Automatic Control, IEEE Transactions on  (Volume:49 ,  Issue: 12 )

Date of Publication:

Dec. 2004

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