基于电力系统的广义大系统的稳定性  

Stability of Large-Scale Systems Based on Power Systems

作　　者：刘建州[1] 方庆霞[2] 刘烨[1] 

机构地区：[1]湘潭大学数学与计算科学学院,湖南湘潭411105 [2]毕节学院数学系,贵州毕节551700

出　　处：《湖南大学学报（自然科学版）》2009年第10期50-53,共4页Journal of Hunan University:Natural Sciences

基　　金：国家自然科学基金资助项目(10971176);湖南省教育厅重点科研基金资助项目(06A070)

摘　　要：针对在电力系统、复杂电路与人工神经网络等中都广泛应用的广义系统,讨论了它的线性系统和非线性系统的稳定性问题.应用Lyapunov函数方法及Schur补原理,在所有孤立子系统都是正则,脉冲自由且渐近稳定的条件下,以线性矩阵不等式的形式给出了它们稳定的新的充分条件,最后给出数值例子说明所得结果的有效性.For the wide use of the generalized systems in power systems, complex circuitry and artificial neural networks and so on, the stability of singular linear and non--linear large--scale systems was discussed. By means of Lyapunov function and Schur complement principle under the conditions that all isolated subsystems have regularity, impulse immunity and stability, the new sufficient conditions for the asymptotic stability for singular linear and nonlinear large-scale systems were proposed in the form of LMI. Finally, some examples were given to illustrate the effectiveness of the results.

关 键 词：电力系统 广义系统 LYAPUNOV函数 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]