文章基本信息

标题：Delay-independent stability criteria under arbitrary switching of a class of switched nonlinear time-delay systems
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作者：Marwen Kermani ; Anis Sakly
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2015
卷号：2015
期号：1
页码：225
DOI：10.1186/s13662-015-0560-1
语种：English
出版社：Hindawi Publishing Corporation
摘要：This paper addresses the stability problem of a class of switched nonlinear time-delay systems modeled by delay differential equations. Indeed, by transforming the system representation under the arrow form, using a constructed Lyapunov function, the aggregation techniques, the Borne-Gentina practical stability criterion associated with the M-matrix properties, new delay-independent conditions to test the global asymptotic stability of the considered systems are established. In addition, these stability conditions are extended to be generalized for switched nonlinear systems with multiple delays. Note that the results obtained are explicit, they are simple to use, and they allow us to avoid the problem of searching a common Lyapunov function. Finally, an example is provided, with numerical simulations, to demonstrate the effectiveness of the proposed method.
关键词：continuous switched nonlinear systems time delays ; global asymptotic stability ; Borne-Gentina criterion ; common Lyapunov function ; arrow form state matrix ; arbitrary switching