Parameter dependent Lyapunov function for global chaos synchronization of discrete time hybrid systems

2002 ◽  
Author(s):  
J. Daafouz ◽  
G. Millerioux
Keyword(s):  
Lyapunov Function ◽  
Hybrid Systems ◽  
Discrete Time ◽  
Chaos Synchronization ◽  
Parameter Dependent

scholarly journals On Homogeneous Parameter-Dependent Quadratic Lyapunov Function for RobustH∞Filtering Design in Switched Linear Discrete-Time Systems with Polytopic Uncertainties

2015 ◽  
Vol 2015 ◽  
pp. 1-11 ◽  
Author(s):  
Guochen Pang ◽  
Kanjian Zhang
Keyword(s):  
Lyapunov Function ◽  
Discrete Time ◽  
Filter Design ◽  
Linear Filter ◽  
Quadratic Lyapunov Function ◽  
Discrete Time Systems ◽  
Arbitrary Switching ◽  
Polytopic Uncertainties ◽  
Parameter Dependent ◽  
Time Systems

This paper is concerned with the problem of robustH∞filter design for switched linear discrete-time systems with polytopic uncertainties. The condition of being robustly asymptotically stable for uncertain switched system and less conservativeH∞noise-attenuation level bounds are obtained by homogeneous parameter-dependent quadratic Lyapunov function. Moreover, a more feasible and effective method against the variations of uncertain parameter robust switched linear filter is designed under the given arbitrary switching signal. Lastly, simulation results are used to illustrate the effectiveness of our method.

scholarly journals LMI Conditions for Robust Stability of 2D Linear Discrete-Time Systems

2008 ◽  
Vol 2008 ◽  
pp. 1-11 ◽  
Author(s):  
A. Hmamed ◽  
M. Alfidi ◽  
A. Benzaouia ◽  
F. Tadeo
Keyword(s):  
Lyapunov Function ◽  
Robust Stability ◽  
Discrete Time ◽  
Linear Matrix ◽  
Stability Conditions ◽  
Polytopic Uncertainty ◽  
Matrix Inequalities ◽  
Discrete Time Systems ◽  
Parameter Dependent ◽  
Time Systems

Robust stability conditions are derived for uncertain 2D linear discrete-time systems, described by Fornasini-Marchesini second models with polytopic uncertainty. Robust stability is guaranteed by the existence of a parameter-dependent Lyapunov function obtained from the feasibility of a set of linear matrix inequalities, formulated at the vertices of the uncertainty polytope. Several examples are presented to illustrate the results.

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