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Improved robust stability criteria for uncertain linear neutral‐type systems via novel Lyapunov‐Krasovskii functional
Author(s) -
Duan Xiaohui,
Tang Fangping,
Duan Wenyong
Publication year - 2020
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.2142
Subject(s) - control theory (sociology) , mathematics , linear matrix inequality , stability (learning theory) , type (biology) , convex combination , stability conditions , function (biology) , regular polygon , convex optimization , mathematical optimization , computer science , control (management) , ecology , statistics , geometry , discrete time and continuous time , artificial intelligence , machine learning , biology , evolutionary biology
Abstract The stability problem for the uncertain time‐varying delayed neutral‐type system is concerned in this paper. By introducing a novel Lyapunov‐Krasovskii functional (LKF) related to a delay‐product‐type function and two delay‐dependent matrices, some new delay‐dependent robust stability sufficient conditions are derived, which are based on convex linear matrix inequality (LMI) framework. The sufficient conditions in this paper can reduce the conservativeness of some recent previous ones. In the end, some numerical examples, including a linear neutral‐type system, the partial element equivalent circuit and a general linear system, show the effectiveness of the proposed method.