Dissipativity theory and stability of feedback interconnections for hybrid dynamical systems

被引：0
|
作者：
Haddad, WM [1 ]
Chellaboina, V [1 ]
机构：
[1] Georgia Inst Technol, Sch Aerosp Engn, Atlanta, GA 30332 USA
来源：
PROCEEDINGS OF THE 2000 AMERICAN CONTROL CONFERENCE, VOLS 1-6 | 2000年
关键词：
D O I：
暂无
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 ne develop a unified framework for a general class of dynamical systems possessing left-continuous hows; that is, left-continuous dynamical systems. These systems are shown to generalize virtually all existing notions of dynamical systems and include hybrid and impulsive dynamical systems as special cases. Furthermore, we generalize dissipativity theory to left-continuous dynamical systems. Finally, the generalized dissipativity notions are used to develop general stability criteria for feedback interconnections of left-continuous systems. These results generalize the positivity and small gain theorems to the case of left-continuous, hybrid, and impulsive dynamical systems.
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页码：2688 / 2694
页数：7
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