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On absolute stability of Lur'e control systems with multiple non-linearities using linear matrix inequalities

控制理论与应用（英文版） 2004年第2期2卷 131-136页

作者： MinWU YongHE jinhuashe SchoolofMathematicalScienceandComputingTechnology CentralSouthUniversityChangsbaHunan410083China DepartmentofMcchatronics TokyoUniversityofTechnologyTokyo192-0982Japan SchoolofInformationScienceandEngimeering CentralSouthUniversityChangshaHunan410083China

Necessary and suffcient conditions for the existence of a Lyapunov function in the Lur ’ e form to guarantee the absolute stability of Lur’ e control systems with multiple non-linearities are discussed in this paper. It simplifies the existence problem to one of solving a set of linear matrix inequalities (LMIs). If those LMIs are feasible, free parameters in the Lyapunov function, such as the positive definite matrix and the coefficients of the integral terms, are given by the solution of the LMIs. Otherwise, this Lyapunov function does not exist. Some sufficient conditions are also obtained for the robust absolute stability of uncertain systems. A numerical example is provided to demonstrate the effectiveness of the proposed method.

关键词： Lur’e control systems Absolute stability Robustness Lyapunov function Linear matrix inequality

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Delay-dependent robust stability for neutral systems with mixed discrete-and-neutral delays

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控制理论与应用（英文版） 2004年第4期2卷 386-392页

作者： YongHE MinWU jinhuashe SchoolofInformationScienceandErtgmeering CentralSouthUniversityChangshaHunan410083China／／SchoolofMathematicalScienceandComputingTechnologyCentralSouthUniversityChangshaHunan410083China SchoolofInformationScienceandErtgmeering CentralSouthUniversityChangshaHunan410083China DepartmentofMechatronics TokyoUniversityofTechnologyTokyo192-0982Japan

This paper focuses on the problem of delay-dependent robust stability of neutral systems with different discrete-and-neutral delays and time-varying structured uncertainties. Some new criteria are presented, in which some free weighting matrices are used to express the relationships between the terms in the Leibniz-Newton formula. The criteria include the information on the size of both neutral-and-discrete delays. It is shown that the present results also include the results for identical discrete-and-neutral delays as special cases. A numerical example illustrates the improvement of the proposed methods over the previous methods and the influences between the discrete and neutral delays.

关键词： Neutral system Delay-dependent criteria Robust stability Time-varying structured uncertainties Linear matrix inequality

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Delay-dependent criteria for the robust stability of systems with time-varying delay

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控制理论与应用（英文版） 2003年第1期1卷 97-100页

作者： MinWU YongHE jinhuashe SchoolofInformationScienceandEngineenng CenwalSouthUniversityChangshaHunan410083China DeparmaentofMechatronics TokyoUmversiWofTechinologyTokyo192-0982Japan

The problem of delay-dependent robust stability for systems with time-varying delay has been considered. By using the S-procedure and the Park's inequality in the recent issue, a delay-dependent robust stability criterion which is less conservative than the previous results has been derived for time-delay systems with time-varying structured uncertainties. The same idea has also been easily extended to the systems with nonlinear perturbations. Numerical examples illustrated the effectiveness and the improvement of the proposed approach. Keywords Delay-dependent criteria - Robust stability - Time-varying structured uncertainties - Nonlinear perturbations - Linear matrix inequality This work was supported by the Doctor Subject Foundation of China (No. 2000053303).

关键词： Delay-dependent criteria Robust stability Time-varying structured uncertainties Nonlinear perturbations Linear matrix inequality

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