具有时变时滞的Lurie系统绝对稳定性的时滞相关条件  

Delay-dependent Conditions for Absolute Stability of Lurie Control Systems with Time-varying Delay

作　　者：何勇 吴敏 

机构地区：[1]SchoolofInformationScienceandEngineering,CentralSouthUniversity,Changsha410083

出　　处：《自动化学报》2005年第3期475-478,共4页Acta Automatica Sinica

基　　金：国家自然科学基金

摘　　要：Some delay-dependent absolute stability criteria for Lurie control systems with timevarying delay are derived, in which some free-weighting matrices are used to express the relationships between the terms in the Leibniz-Newton formula. These criteria are based on linear matrix inequality(LMI) such that the upper bound of time-delay guaranteeing the absolute stability and the free-weighting matrices can be obtained through the solutions of the LMI. Moreover, the Lyapunov functional constructed by the solutions of these LMIs is adopted to guarantee the absolute stability of the systems. Finally, some examples axe provided to demonstrate the effectiveness of the proposed methods.Some delay-dependent absolute stability criteria for Lurie control systems with time-varying delay are derived, in which some free-weighting matrices are used to express the relationships between the terms in the Leibniz-Newton formula. These criteria are based on linear matrix inequality (LMI) such that the upper bound of time-delay guaranteeing the absolute stability and the free-weighting matrices can be obtained through the solutions of the LMI. Moreover, the Lyapunov functional constructed by the solutions of these LMIs is adopted to guarantee the absolute stability of the systems. Finally, some examples are provided to demonstrate the effectiveness of the proposed methods.

关 键 词：LURIE系统 时滞相关条件 绝对稳定性 时变时滞 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] O231[自动化与计算机技术—控制科学与工程]