3 papers
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.AP2026
Exponential Decay for a Boundary-Controlled Nonlinear Parabolic Reactor Model
Yevgeniia Yevgenieva, Alexander Zuyev, Christophe Prieur +1
We study an axial dispersion tubular reactor model governed by a nonlinear parabolic equation with Robin-type boundary conditions and boundary feedback control. We derive sufficien…
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…