线性奇异脉冲系统的稳定性分析  

Stability Analysis of Linear Singular Impulsive Systems

作　　者：陈武华[1] 蒋仁宏 杨宣访[2] 

机构地区：[1]广西大学数学与信息科学学院,广西南宁530004 [2]海军工程大学电气与信息工程学院,湖北武汉430033

出　　处：《广西科学》2015年第4期416-420,共5页Guangxi Sciences

基　　金：国家自然科学基金项目(61164016);广西自然科学基金重点项目(2013GXNSFDA019003);广西自然科学基金项目(2011GXNSFA018141)资助

摘　　要：奇异脉冲系统是一类不连续的奇异系统,其状态在一系列离散时刻发生跳变。为充分刻画离散脉冲作用下奇异系统状态不连续的动态特征,提出基于时变Lyapunov函数的稳定性分析方法。通过运用此方法,并借助于凸组合技术,建立了一类奇异脉冲系统指数稳定性的充分条件。该稳定性条件以线性矩阵不等式形式给出,定量地揭示了脉冲区间及脉冲强度对系统稳定性影响。最后,用一个数值算例验证了所得结果的有效性。Singular impulsive systems are a class of discontinuous singular systems where the state experiences jump at certain discrete instants.To fully characterize the discontinuous dynamical feature of the system state under the impulse action,a method based on time-varying Lyapunov function is proposed for stability analysis.A sufficient condition for exponential stability of linear singular impulsive systems is established by applying this method integrated with the technique of convex combination.The derived stability condition is expressed in terms of linear matrix inequalities,which quantitatively reveal the effects of impulsive intervals and impulse strength on system stability.Finally,a numerical example demonstrates the effectiveness of the obtained results.

关 键 词：奇异脉冲系统 时变Lyapunov函数 指数稳定性 凸组合技术 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]