468

IGPM468.pdf July 2017 
TITLE 
Discretized Feedback Control for Hyperbolic Balance Laws 
AUTHORS 
Stephan Gerster, Michael Herty 
ABSTRACT 
Physical systems such as water and gas networks are usually operated in a state of equilibrium and feedback control is employed to damp small perturbations over time. We consider flow problems on networks, described by hyperbolic balance laws, and analyze the stabilization of steady states. Sufficient conditions for exponential stability in the continuous and discretized setting are presented. Computational experiments illustrate the theoretical findings. 
KEYWORDS 
Lyapunov function, Feedback stabilization, Systems of balance laws, isothermal Euler equations, shallow water equations 