24 citations · 47 across the 9 of their papers we have counts for
12 papers
On the Homogenization of Norm and Time Optimal Controls for Parabolic Equations with Oscillating Coefficients
Jon Asier Bárcena-Petisco, Marius Tucsnak
We study homogenization of norm-optimal and time-optimal controls for a one-dimensional heat equation with rapidly oscillating periodic diffusion coefficients. The controls act on…
Aclass of incrementally scattering-passive nonlinear systems
Shantanu Singh, George Weiss, Marius Tucsnak
We investigate a special class of nonlinear infinite dimensional systems. These are obtained by subtracting a nonlinear maximal monotone (possibly multi-valued) operator M from the…
Global Exponential Stabilization for a Simplified Fluid-Particle Interaction System
Marius Tucsnak, Zhuo Xu
This work considers a system coupling a viscous Burgers equation (aimed to describe a simplified model of fluid flow) with the ODE describing the motion of a point mass moving…
LQR control for a system describing the interaction between a floating solid and the surrounding fluid
Marius Tucsnak, Zhuo Xu
This paper studies an infinite time horizon LQR optimal control problem for a system describing, within a linear approximation, the vertical oscillations of a floating solid, coupl…
Input-to-state stability for bilinear feedback systems
René Hosfeld, Birgit Jacob, Felix Schwenninger +1
Input-to-state stability estimates with respect to small initial conditions and input functions for infinite-dimensional systems with bilinear feedback are shown. We apply the obta…
Shallow water waves generated by a floating object: a control theoretical perspective
Pei Su, Marius Tucsnak
We consider a control system describing the interaction of water waves with a partially immersed rigid body constraint to move only in the vertical direction. The fluid is modeled…
Stabilizability properties of a linearized water waves system
Pei Su, Marius Tucsnak, George Weiss
We consider the strong stabilization of small amplitude gravity water waves in a two dimensional rectangular domain. The control acts on one lateral boundary, by imposing the horiz…
- Maximal Regularity for some Operators Associated with Linearized Incompressible Fluid-Rigid Body Problems
Debayan Maity, Marius Tucsnak
We study an unbounded operator arising naturally after linearizing the system modelling the motion of a rigid body in a viscous incompressible fluid. We show that this operator is…
Mathematical Analysis of the Motion of a Rigid Body in a Compressible Navier-Stokes-Fourier Fluid
Bernhard H. Haak, Debayan Maity, Takéo Takahashi +1
We study an initial and boundary value problem modelling the motion of a rigid body in a heat conducting gas. The solid is supposed to be a perfect thermal insulator. The gas is de…
Perturbations of time optimal control problems for a class of abstract parabolic systems
Marius Tucsnak, Gengsheng Wang, Chi-Ting Wu
In this work we study the asymptotic behavior of the solutions of a class of abstract parabolic time optimal control problems when the generators converge, in an appropriate sense,…
On conditions for asymptotic stability of dissipative infinite-dimensional systems with intermittent damping
Falk Hante, Mario Sigalotti, Marius Tucsnak
We study the asymptotic stability of a dissipative evolution in a Hilbert space subject to intermittent damping. We observe that, even if the intermittence satisfies a persistent e…
Boundary feedback stabilization by piecewise constant time delay for the wave equation
Martin Gugat, Marius Tucsnak
For vibrating systems, a delay in the application of a feedback control can destroy the stabilizing effect of the control. In this paper we consider a vibrating string that is fixe…