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论文类型：期刊论文

发表时间：2014-06-01

发表刊物：IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS

收录刊物：SCIE、EI

卷号：61

期号：6

页面范围：1789-1800

ISSN号：1549-8328

关键字：ISS; large delay periods; switched delay systems

摘要：The paper is concerned with the problem of input-tostate stability (ISS) for nonlinear delay systems with large delay periods (LDP). The concepts of the length rate of LDP and the frequency of LDP are introduced. First the considered system is converted into a switched delay system whichmay include an unstable subsystem. Then based on a piecewise Lyapunov functional, the ISS properties of the systems are developed under the constraints of the length rate and the frequency of LDP. ISS for a special kind of nonlinear delay systems is also considered and the conditions of nonlinear matrix inequalities (NLMIs) are proposed to guarantee the ISS properties of such a system. A numerical example and an example of a series DC motor are given to show the effectiveness of the proposed methods.