Modeling and Stability Analysis of Hybrid Dynamical Systems Based on Extended Differential Petri Nets

被引：2
|
作者：
Chen, Guopei [1 ]
Yang, Ying [1 ]
Li, Junmin [2 ]
机构：
[1] Huizhou Univ, Dept Math, Huizhou 516007, Peoples R China
[2] Xidian Univ, Dept Appl Math, Xian 710071, Peoples R China
来源：
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2012年 / 10卷 / 02期
关键词：
Extended differential petri nets; hybrid dynamical systems; modeling; stability; SWITCHED LINEAR-SYSTEMS; LYAPUNOV FUNCTIONS; CONTROLLABILITY; STABILIZATION; OBSERVABILITY; REACHABILITY; CRITERIA;
D O I：
10.1007/s12555-012-0204-0
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, extended differential Petri nets (EDPNs), a new extension of differential Petri nets (DPNs), is proposed. Compared with the existing extension of DPNs, EDPNs has two improvements: (1) the restriction on the enabling condition that depends on the weight of arc is relaxed, i.e., allow the enabling condition has more general form; (2) the definition is extended for the weight of arc. By these two improvements, EDPNs presents larger flexibility and modeling power than the existing extension of DPNs. Using this model, the stability of hybrid dynamical systems (HDS) is studied. A new Lyapunov's stability theorem of HDS is given. Furthermore, by using the information of index matrix and a new composite energy function, the stability theorem of linear HDS is obtained.
引用
收藏
页码：238 / 248
页数：11
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