5 papers
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…
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 ``…
On the Controllability of an Orbiting Satellite Model with Electromagnetic-only Actuation
Yevgeniia Yevgenieva, Alexander Zuyev, Julia Kalosha
This paper presents sufficient conditions for small-time local controllability of a control-affine system that describes the rotational motion of a satellite in a circular orbit. T…
Partial Stabilization of an Orbiting Satellite Model with a Flexible Attachment
Julia Kalosha, Yevgeniia Yevgenieva, Alexander Zuyev
We consider a mathematical model of an orbiting satellite, comprising a rigid carrier body and a flexible boom, operating under the influence of gravity gradient torque. This model…
Periodic optimal control of a plug flow reactor model with an isoperimetric constraint
Yevgeniia Yevgenieva, Alexander Zuyev, Peter Benner +1
We study a class of nonlinear hyperbolic partial differential equations with boundary control. This class describes chemical reactions of the type `` product'' carried out i…