45 citations · 91 across the 5 of their papers we have counts for
4 papers
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…
Polynomial Turnpike Property for a Class of Infinite-Dimensional Oscillating Systems
Alexander Zuyev, Emmanuel Trélat
We establish a polynomial turnpike estimate for an optimal control problem consisting of a system of infinitely many controlled oscillators, considered as an abstract differential…
Stability and decay rate estimates for a nonlinear dispersed flow reactor model with boundary control
Yevgeniia Yevgenieva, Alexander Zuyev, Peter Benner
We investigate a nonlinear parabolic partial differential equation whose boundary conditions contain a single control input. This model describes a chemical reaction of the type ``…
Periodic switching strategies for an isoperimetric control problem with application to nonlinear chemical reactions
P. Benner, A. Seidel-Morgenstern, A. Zuyev
This paper deals with an isoperimetric optimal control problem for nonlinear control-affine systems with periodic boundary conditions. As it was shown previously, the candidates fo…