468 RWTH Publication No: 696340        2017        IGPM468.pdf
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
DOI 10.3934/mcrf.2019024
PUBLICATION Math. Control Relat. Fields, Vol. 9(3) 2019