摘要
研究了正线性系统的共同线性copositive Lyapunov函数。首先,基于几何性质给出了关于一对二阶正线性系统的定理的另一种证明。通过新的证明方法,把结果推广到有限个二阶正线性系统的情况.然后对三阶情况给出了一个结果。最后,对高阶的正线性系统给出了一些结果。
The common linear copositive Lyapunov functions of positive linear systems is researched.Firstly,a theorem on pairs of second order positive linear systems is presented,and another proof of this theorem by means of properties of geometry is given.Based on the process of the proof,the results are extended to a finite number of second order positive linear systems.Then this result is extended to three order systems.Finally,for higher order systems,some results on common linear copositive Lyapunov functions are given.
出处
《控制工程》
CSCD
北大核心
2010年第S1期14-17,共4页
Control Engineering of China
基金
国家自然科学基金资助项目(10671126)
上海市重点学科建设基金资助项目(S30501)
上海市研究生创新基金资助项目(JWCXSL0901)
