Parameter-dependent Lyapunov functional for systems with multiple time delays

查看全文 作　　者：[1]MinWU;[2]YongHE

机构地区：[1]SchoolofInformationScienceandEngineering,CentralSouthUniversity,ChangshaHunan410083,China;[2]SchoolofInformationScienceandEngineering,CentralSouthUniversity,ChangshaHunan410083,China//SchoolofMathematicalScienceandComputingTechnology,CentralSouthUniversity,ChangshaHunan410083,China

出　　处：《控制理论与应用(英文版)》索引2004年第2卷第3期,共7页

摘　　要：The separation of the Lyapunov matrices and system matrices plays an important role when one uses parameter-dependent Lyapunov functional handling systems with polytopic type uncertainties.The delay-dependent robust stability problem for systems with polytopic type uncertainties is discussed by using parameter-dependent Lyapunov functional.The derivative term in the derivative of Lyapunov functional is reserved and the free weighting matrices are employed to express the relationship between the terms in the system equation such that the Lyapunov matrices are not involved in any product terms with the system matrices.In addition,the relationships between the terms in the Leibniz Newton formula are also described by some free weighting matrices and some delay-dependent stability conditions are derived.Numerical examples demonstrate that the proposed criteria are more effective than the previous results. 关键词：强稳定性延迟相关参数相关多元不定性线性矩阵不等式

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Parameter-dependent Lyapunov functional for systems with multiple time delays

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