Connection between almost everywhere stability of an ODE and advection PDE

被引：0
|
作者：
Rajaram, Rajeev
Vaidya, Umesh
Fardad, Makan
机构：
来源：
PROCEEDINGS OF THE 46TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14 | 2007年
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中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A result on the necessary and sufficient conditions for almost everywhere stability of an invariant set in continuous-time dynamical systems is presented. It is shown that the existence of a Lyapunov density is equivalent to the almost everywhere stability of an invariant set. Furthermore, such a density can be obtained as the positive solution of a linear partial differential equation analogous to the positive solution of Lyapunov equation for stable linear systems.
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页码：5021 / 5026
页数：6
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