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math.OC2026
Boundary control and periodic trajectories of semilinear Euler equations with application to hydrogen transport
Alexander Zuyev, Peter Benner
A mathematical model of gas flow in a pipeline controlled by the inlet pressure and the outlet mass flow flux is considered in the form of the isothermal Euler equations with an ap…
math.OC2026
Periodic solutions of nonlinear control systems with switching: a Lie-algebraic and contraction approach
Alexander Zuyev, Peter Benner
This paper is devoted to the analysis of periodic solutions of nonlinear control-affine systems with bang-bang controls. Such problems naturally arise in periodic optimal control w…