Finite-Time Stability Analysis of Discrete-Time Linear Singular Systems | Zendy

Songlin Wo | Zendy; Han Xiaoxin | Zendy

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Finite-Time Stability Analysis of Discrete-Time Linear Singular Systems

Author(s) -

Songlin Wo,

Han Xiaoxin

Publication year - 2014

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2014/579863

Subject(s) - mathematics , stability (learning theory) , linear matrix inequality , matrix (chemical analysis) , discrete time and continuous time , control theory (sociology) , order (exchange) , mathematical optimization , computer science , control (management) , statistics , materials science , machine learning , artificial intelligence , composite material , finance , economics

The finite-time stability (FTS) problem of discrete-time linear singular systems (DTLSS) is considered in this paper. A necessary and sufficient condition for FTS is obtained, which can be expressed in terms of matrix inequalities. Then, another form of the necessary and sufficient condition for FTS is also given by using matrix-null space technology. In order to solve the stability problem expediently, a sufficient condition for FTS is given via linear matrix inequality (LMI) approach; this condition can be expressed in terms of LMIs. Finally, an illustrating example is also given to show the effectiveness of the proposed method

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