Robust stability of time-varying polytopic systems via parameter-dependent homogeneous Lyapunov functions

Automatica ◽  
2007 ◽  
Vol 43 (2) ◽  
pp. 309-316 ◽  
Author(s):  
G. Chesi ◽  
A. Garulli ◽  
A. Tesi ◽  
A. Vicino
Keyword(s):  
Robust Stability ◽  
Lyapunov Functions ◽  
Time Varying ◽  
Polytopic Systems ◽  
Parameter Dependent

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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