Positivity analysis for discrete-time descriptor systems with time delays

Author

Youmei Zhang ; Qingling Zhang ; Tanaka, T. ; Xinyou Meng ; Hui Lv

Author_Institution

Inst. of Syst. Sci., Northeastern Univ., Shenyang, China

fYear

2014

fDate

28-30 July 2014

Firstpage

2530

Lastpage

2535

Abstract

This paper is concerned with positivity analysis for discrete-time descriptor systems with time delays. At first, an explicit solution of such systems is given by using z-transform and inverse z-transform. Then, a set of necessary and sufficient conditions for positivity of discrete-time descriptor systems with time delays is presented under some conditions. In addition, based on the obtained conditions for positivity, systems with strictly positive state variables are concerned. Necessary and sufficient conditions to check strict positivity of state variables are obtained. Finally, an example is given to illustrate the effectiveness of the obtained results.

Keywords

control system analysis; delays; discrete time systems; transforms; discrete-time descriptor systems; explicit solution; inverse z-transform; necessary condition; positivity analysis; strictly positive state variables; sufficient condition; time delays; z-transform; Biology; Delay effects; Delays; Educational institutions; Equations; Indexes; Standards; Linear systems; Positive systems; Singular systems; Time delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2014 33rd Chinese

Conference_Location

Nanjing

Type

conf

DOI

10.1109/ChiCC.2014.6897033

Filename

6897033