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math.OC2017
Compensation of Actuator Dynamics Governed by Quasilinear Hyperbolic PDEs
Nikolaos Bekiaris-Liberis, Miroslav Krstic
We present a methodology for stabilization of general nonlinear systems with actuator dynamics governed by general, quasilinear, first-order hyperbolic PDEs. Since for such PDE-ODE…
math.OC2017★ 8 cited
Analysis and Control of a Non-Standard Hyperbolic PDE Traffic Flow Model
Iasson Karafyllis, Nikolaos Bekiaris-Liberis, Markos Papageorgiou
The paper provides results for a non-standard, hyperbolic, 1-D, nonlinear traffic flow model on a bounded domain. The model consists of two first-order PDEs with a dynamic boundary…