DocumentCode :
2242139
Title :
Boundary feedback control and Lyapunov stability analysis for physical networks of 2×2 hyperbolic balance laws
Author :
Bastin, Georges ; Coron, Jean-Michel ; Andréa-Novel, Brigitte D.
Author_Institution :
Dept. of Math. Eng., Univ. catholique de Louvain, Louvain-la-Neuve, Belgium
fYear :
2008
fDate :
9-11 Dec. 2008
Firstpage :
1454
Lastpage :
1458
Abstract :
Sufficient dissipative boundary conditions are given for the exponential stability of equilibria in physical networks of 2 × 2 nonlinear hyperbolic balance laws under boundary feedback control. The analysis relies on the use of an explicit strict Lyapunov function.
Keywords :
Lyapunov methods; asymptotic stability; feedback; hyperbolic equations; interconnected systems; partial differential equations; Lyapunov function; Lyapunov stability; boundary feedback control; exponential stability; hyperbolic partial differential equation; interconnected system; nonlinear hyperbolic balance law; physical network; sufficient dissipative boundary condition; Boundary conditions; Communication system traffic control; Feedback control; Isothermal processes; Lyapunov method; Partial differential equations; Pipelines; Roads; Stability; Steady-state;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control, 2008. CDC 2008. 47th IEEE Conference on
Conference_Location :
Cancun
ISSN :
0191-2216
Print_ISBN :
978-1-4244-3123-6
Electronic_ISBN :
0191-2216
Type :
conf
DOI :
10.1109/CDC.2008.4738857
Filename :
4738857
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=2242139
بازگشت