摘要
针对混合系统的特点,建立其微分Petri网(DPN)的模型.首先,给出一类DPN的稳定性概念和稳定性引理;然后通过引入两类函数,利用关联矩阵的信息对DPN的稳定性进行具体分析,进而构造新的复合能量函数,得到DPN的稳定性定理;最后通过仿真例子说明定理的有效性.
According to the characteristics of hybrid dynamic systems, a model of hybrid systems, differential Petri net （DPN）, is proposed. Firstly, the concept and lemma of stability for a class of DPN are given. Then, the stability of DPN is analyzed in detail by using two kinds of functions and information of index matrix. Furthermore, by means of constructing a new composite energy function, the stability theorem of DPN is obtained. Finally, a simulation example shows the effectiveness of the proposed approach.
出处
《控制与决策》
EI
CSCD
北大核心
2007年第11期1218-1222,1227,共6页
Control and Decision
基金
国家自然科学基金项目(60374015)
