Strongly absolute stability of Lur´e-type discrete-time descriptor systems: Strict LMI-based popov criterion

Author

Chunyu Yang ; Fei Yin ; Ding Zhai

Author_Institution

Sch. of Inf. & Electr. Eng., China Univ. of Min. & Technol., Xuzhou, China

fYear

2013

fDate

25-27 Sept. 2013

Firstpage

588

Lastpage

593

Abstract

This paper considers strongly absolute stability of Lur´e-type discrete-time descriptor systems and proposes a strict LMI-based popov criterion. By constructing a Lur´e-type Lyapunov function, a new popov criterion is established for strongly absolute stability of Lur´e-type discrete-time descriptor systems. It is further shown that the Popov criterion leads to a less conservative robust stability analysis method for a class of uncertain linear discrete-time descriptor systems. Finally, numerical examples are given to illustrate the effectiveness of the obtained results.

Keywords

Lyapunov methods; discrete time systems; linear matrix inequalities; linear systems; uncertain systems; Lur´e type Lyapunov function; Lur´e type discrete time descriptor systems; strict LMI based Popov criterion; uncertain linear discrete-time descriptor systems; Asymptotic stability; Indexes; Lyapunov methods; Numerical stability; Power system stability; Stability criteria; Lur´e-type discrete-time descriptor systems (LDDS); Popov criterion; circle criterion; linear matrix inequality;

fLanguage

English

Publisher

ieee

Conference_Titel

Advanced Mechatronic Systems (ICAMechS), 2013 International Conference on

Conference_Location

Luoyang

Print_ISBN

978-1-4799-2518-6

Type

conf

DOI

10.1109/ICAMechS.2013.6681711

Filename

6681711