DocumentCode :
3529845
Title :
A new H2-norm Lyapunov function for the stability of a singularly perturbed system of two conservation laws
Author :
Ying Tang ; Prieur, Christophe ; Girard, Antoine
Author_Institution :
Dept. of Autom. Control, Gipsa-Lab., Grenoble, France
fYear :
2013
fDate :
10-13 Dec. 2013
Firstpage :
3026
Lastpage :
3031
Abstract :
In this paper a class of singularly perturbed system of conservation laws is considered. The partial differential equations are equipped with boundary conditions which may be studied to derive the exponential stability. Lyapunov stability technique is used to derive sufficient conditions for the exponential stability of this system. A Lyapunov function in H2-norm for a singularly perturbed system of conservation laws is constructed. It is based on the Lyapunov functions of two subsystems in L2-norm.
Keywords :
Lyapunov methods; asymptotic stability; partial differential equations; singularly perturbed systems; H2-norm Lyapunov function; Lyapunov stability technique; boundary condition; conservation laws; exponential stability; partial differential equation; singularly perturbed system stability;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on
Conference_Location :
Firenze
ISSN :
0743-1546
Print_ISBN :
978-1-4673-5714-2
Type :
conf
DOI :
10.1109/CDC.2013.6760343
Filename :
6760343
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=3529845
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