Title
Singular Perturbation Approximation of Linear Hyperbolic Systems of Balance Laws.
Abstract
This technical note deals with a class of linear hyperbolic systems of balance laws with multiple time scales. The scale of time constants is modeled by a perturbation parameter. This parameter is introduced in both dynamics and boundary conditions. The solution of the full system is approximated by that of the reduced subsystem when the perturbation parameter is small enough. Lyapunov technique is used to prove it. The main result is illustrated by an academic example. Moreover, the boundary control synthesis to a gas flow transport model is shown based on singular perturbation approach.
Year
DOI
Venue
2016
10.1109/TAC.2015.2499444
IEEE Trans. Automat. Contr.
Keywords
Field
DocType
Boundary conditions,Perturbation methods,Lyapunov methods,Control design,Pipelines,Roads
Technical note,Mathematical analysis,Control theory,Hyperbolic systems,Law,Lyapunov function,Boundary value problem,Mathematical optimization,Flow (psychology),Singular perturbation,Time constant,Mathematics,Perturbation (astronomy)
Journal
Volume
Issue
ISSN
61
10
0018-9286
Citations 
PageRank 
References 
3
0.39
8
Authors
3
Name
Order
Citations
PageRank
Ying Tang143165.09
Christophe Prieur21037129.96
Antoine Girard31937117.56