文章基本信息

标题：New model transformations for the stability analysis of time-delay systems ⁎
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作者：Mohammed Safi ; Lucie Baudouin ; Alexandre Seuret 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2018
卷号：51
期号：14
页码：124-129
DOI：10.1016/j.ifacol.2018.07.210
语种：English
出版社：Elsevier
摘要：AbstractThis paper deals with the stability analysis of time delay systems based on continuous-time approach. The originality of the present paper relies on the construction of several models for a same time-delay systems using the interconnection of an ordinary differential equation and a transport partial differential equation. The stability analysis is then performed using a Lyapunov functional. These models are constructed in order to first reduce potentially the complexity of the resulting stability conditions. Second several models are build in order to be interpreted as a discretization scheme as the one usually used in the Lyapunov functional. The proposed result can be seen as a generalized(N — M)discretization which consists in both a time-discretization of the delay interval intoMsub-intervals, and the projection of the state function within each sub-interval on the Legendre polynomials of degree less thanN.The efficiency of this novel approach is illustrated on an academic example.
关键词：KeywordsTime-delay systemsModel transformationsTransport equationLyapunov stabilityIntegral inequalitiesLinear matrix inequalities