Simplified Stability Criteria for Delayed Neutral Systems | Zendy

Xinghua Zhang | Zendy; Xiangyu Gao | Zendy; Min Su | Zendy

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Simplified Stability Criteria for Delayed Neutral Systems

Author(s) -

Xinghua Zhang,

Xiangyu Gao,

Min Su

Publication year - 2014

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2014/238487

Subject(s) - mathematics , stability (learning theory) , linear matrix inequality , class (philosophy) , constant (computer programming) , lti system theory , invariant (physics) , linear system , exponential stability , matrix (chemical analysis) , control theory (sociology) , mathematical optimization , computer science , mathematical analysis , control (management) , nonlinear system , physics , materials science , composite material , quantum mechanics , artificial intelligence , machine learning , mathematical physics , programming language

For a class of linear time-invariant neutral systems with neutral and discrete constant delays, several existing asymptotic stability criteria in the form of linear matrix inequalities (LMIs) are simplified by using matrix analysis techniques. Compared with the original stability criteria, the simplified ones include fewer LMI variables, which can obviously reduce computational complexity. Simultaneously, it is theoretically shown that the simplified stability criteria and original ones are equivalent; that is, they have the same conservativeness. Finally, a numerical example is employed to verify the theoretic results investigated in this paper

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