Fractional descriptor standard and positive discrete-time nonlinear systems

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: fractional;    descriptor;    nonlinear;    system;    Weierstrass-Kronecker decomposition;    positivity;   

DOI  :  10.1515/bpasts-2015-0076

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 】

A method of analysis of the fractional descriptor nonlinear discrete-time systems with regular pencils of linear part is proposed. The method is based on the Weierstrass-Kronecker decomposition of the pencils. Necessary and sufficient conditions for the positivity of the nonlinear systems are established. A procedure for computing the solution to the equations describing the nonlinear systems are proposed and demonstrated on a numerical example.

【 授权许可】

Unknown