Parameter dependent Lyapunov functions for discrete time systems with time varying parametric uncertainties

2001 ◽  
Vol 43 (5) ◽  
pp. 355-359 ◽  
Author(s):  
Jamal Daafouz ◽  
Jacques Bernussou
Keyword(s):  
Discrete Time ◽  
Lyapunov Functions ◽  
Parametric Uncertainties ◽  
Time Varying ◽  
Discrete Time Systems ◽  
Parameter Dependent ◽  
Time Systems

scholarly journals New Delay-Dependent Robust Stability Criterion for LPD Discrete-Time Systems with Interval Time-Varying Delays

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Narongsak Yotha ◽  
Kanit Mukdasai
Keyword(s):  
Robust Stability ◽  
Discrete Time ◽  
Model Transformation ◽  
Linear Matrix ◽  
Time Varying ◽  
Interval Time ◽  
Discrete Time Systems ◽  
Delay Dependent ◽  
Parameter Dependent ◽  
Time Systems

This paper investigates the problem of robust stability for linear parameter-dependent (LPD) discrete-time systems with interval time-varying delays. Based on the combination of model transformation, utilization of zero equation, and parameter-dependent Lyapunov-Krasovskii functional, new delay-dependent robust stability conditions are obtained and formulated in terms of linear matrix inequalities (LMIs). Numerical examples are given to demonstrate the effectiveness and less conservativeness of the proposed methods.

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