Observability by using viability kernels

作     者：Khalid KASSARA 

作者机构：Systems and Control GroupUniversity Hassan ⅡCasablanca 20100Morocco 

出 版 物：《控制理论与应用（英文版）》 (Journal of Control Theory and Applications)

年 卷 期：2012年第10卷第3期

页      面：303-308页

核心收录：

学科分类：0808[工学-电气工程] 07[理学] 08[工学] 070104[理学-应用数学] 070105[理学-运筹学与控制论] 071101[理学-系统理论] 0711[理学-系统科学] 0835[工学-软件工程] 0802[工学-机械工程] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：supported by the Hassan II Academy of Sciences and Technics of Morocco 

主　　题：Observability Viability kernel Single-valuedness Lower semicontinuity Monotone multifunctions 

摘      要：The aim of this paper is to propose a new way to deal with observability of systems governed by ODEs, in a more general setting than the standard output equation. The primary finding is that observability over a time horizon reduces to single-valuedness of the vertical section of a set we name the observability kernel. The latter consists of the viability kernel of the output domain under the augmented system. The approach may be used either for global or local observability, to which available results on single-valuedness of multifunctions shall be applied in order to get necessary and/or sufficient characterizing conditions. Several examples are provided in order to illustrate the method.