Measuring observability by generalized information theoretic quantities
Badong CHEN
Jinchun HU
Hongbo LI
Zengqi SUN
摘要：A normalized measure is established to provide the quantitative information about the degree of observabilty for the discrete-time,stochastically autonomous system.This measure is based on the generalized information theoretic quanties(generalized entropy,mutual information) of the system state and the observations.where the system state can be a discrete or a continuous random vector.Some important properties are presented.For the linear case,the explicit formula for the degree of observability is derived,and the equivalence between the proposed measure and the traditional ranK condition is proved The curves for the degree of observability are depicted in a simple example.
机标关键词：autonomous systemthe equivalence
资助基金：This work was partly supported by the National 863 Projects(2006AA705215)
论文发表日期：2008-01-01
在线出版日期：2025-08-15（本平台首次上网日期，不代表文献的发表时间）
页数：6( 233-238 )
英文信息