Simple sufficient conditions for asymptotic stability of positive linear systems for any switchings

Bulletin of the Polish Academy of Sciences. Technical Sciences

T. KaczorekCorresponding authorFaculty of Electrical Engineering, Bialystok University of Technology, 45D Wiejska St., 15-351 Bialystok, PolandEmailOther articles by this author:De Gruyter OnlineGoogle Scholar¹ 

[1] Faculty of Electrical Engineering, Bialystok University of Technology, 45D Wiejska St., 15-351 Bialystok, Poland

关键词: Keywords : positive;    linear;    switched system;    asymptotic stability;    sufficient conditions;   

DOI  :  10.2478/bpasts-2013-0032

学科分类：工程和技术（综合）

来源: Polska Akademia Nauk * Centrum Upowszechniania Nauki / Polish Academy of Sciences, Center for the Advancement of Science

【 摘 要 】

The asymptotic stability of positive switched linear systems for any switchings is addressed. Simple sufficient conditions for the asymptotic stability of positive switched continuous-time and discrete-time linear systems are established. It is shown that the positive switched continuous-time (discrete-time) system is asymptotically stable for any switchings if the sum of entries of every column of the matrices of subsystems is negative (less than 1)

【 授权许可】

Unknown