Delay-dependent criteria for stability of large-scale linear discrete time-delay systems

2007 ◽  
Author(s):  
Sreten B. Stojanovic ◽  
Dragutin Lj. Debeljkovic
Keyword(s):  
Time Delay ◽  
Discrete Time ◽  
Large Scale ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Discrete Time Delay ◽  
Delay Dependent

scholarly journals Stability Analysis of State Saturation 2D Discrete Time-Delay Systems Based on F-M Model

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Dongyan Chen ◽  
Hui Yu
Keyword(s):  
Stability Analysis ◽  
Time Delay ◽  
Discrete Time ◽  
Delay Systems ◽  
Linear Matrix ◽  
Time Delay Systems ◽  
Discrete Time Delay ◽  
Discrete Lyapunov Functional ◽  
Delay Dependent ◽  
State Saturation

The problem of stability analysis is investigated for a class of state saturation two-dimensional (2D) discrete time-delay systems described by the Fornasini-Marchesini (F-M) model. The delay is allowed to be a bounded time-varying function. By constructing the delay-dependent 2D discrete Lyapunov functional and introducing a nonnegative scalarβ, a sufficient condition is proposed to guarantee the global asymptotic stability of the addressed systems. Subsequently, the criterion is converted into the linear matrix inequalities (LMIs) which can be easily tested by using the standard numerical software. Finally, two numerical examples are given to show the effectiveness of the proposed stability criterion.

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