375 citations · 645 across the 26 of their papers we have counts for
19 papers · 1 filter
Improved residual mode separation for finite-dimensional control of PDEs: application to the Euler-Bernoulli beam
Anton Selivanov, Emilia Fridman
We consider a simply-supported Euler-Bernoulli beam with viscous and Kelvin--Voigt damping. Our objective is to attenuate the effect of an unknown distributed disturbance using one…
Internal stabilization of three interconnected semilinear reaction-diffusion PDEs with one actuated state
Constantinos Kitsos, Rami Katz, Emilia Fridman
This work deals with the exponential stabilization of a system of three semilinear parabolic partial differential equations (PDEs), written in a strict feedforward form. The diffus…
Stabilization of underactuated linear coupled reaction-diffusion PDEs via distributed or boundary actuation
Constantinos Kitsos, Emilia Fridman
This work concerns the exponential stabilization of underactuated linear homogeneous systems of m parabolic partial differential equations (PDEs) in cascade (reaction-diffusion sys…
Internal stabilization of an underactuated linear parabolic system via modal decomposition (extended version)
Constantinos Kitsos, Emilia Fridman
This work concerns the internal stabilization of underactuated linear systems of heat equations in cascade, where the control is placed internally in the first equation only an…
Global finite-dimensional observer-based stabilization of a semilinear heat equation with large input delay
Rami Katz, Emilia Fridman
We study global finite-dimensional observer-based stabilization of a semilinear 1D heat equation with globally Lipschitz semilinearity in the state variable. We consider Neumann ac…
Detectability and global observer design for 2D Navier-Stokes equations with uncertain inputs
Sergiy Zhuk, Mykhaylo Zayats, Emilia Fridman
We present simulation friendly detectability conditions for 2D Navier-Stokes Equation (NSE) with periodic boundary conditions, and describe a generic class of ``detectable'' observ…