Finite-time stability for discrete-time singular systems with time-delay and nonlinear perturbations

2015 ◽  
Author(s):  
Sreten B. Stojanovic ◽  
Dragutin Lj. Debeljkovic ◽  
Ivan M. Buzurovic
Keyword(s):  
Time Delay ◽  
Discrete Time ◽  
Finite Time ◽  
Singular Systems ◽  
Nonlinear Perturbations ◽  
Time Stability ◽  
Finite Time Stability

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

2014 ◽  
Vol 2014 ◽  
pp. 1-6
Author(s):  
Songlin Wo ◽  
Xiaoxin Han
Keyword(s):  
Discrete Time ◽  
Finite Time ◽  
Singular Systems ◽  
Linear Matrix ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Time Stability ◽  
Finite Time Stability ◽  
Necessary And Sufficient ◽  
Time Linear

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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