2 citations · 5 across the 10 of their papers we have counts for
12 papers
On the gain of entrainment in a class of weakly contractive bilinear control systems with applications to the master equation and the ribosome flow model
Rami Katz, Thomas Kriecherbauer, Lars Grüne +1
We consider a class of bilinear weakly contractive systems that entrain to periodic excitations. Entrainment is important in many natural and artificial processes. For example, in…
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…
On the accuracy of Prony's method for recovery of exponential sums with closely spaced exponents
Rami Katz, Nuha Diab, Dmitry Batenkov
In this paper we establish accuracy bounds of Prony's method (PM) for recovery of sparse measures from incomplete and noisy frequency measurements, or the so-called problem of supe…
Decimated Prony's Method for Stable Super-resolution
Rami Katz, Nuha Diab, Dmitry Batenkov
We study recovery of amplitudes and nodes of a finite impulse train from noisy frequency samples. This problem is known as super-resolution under sparsity constraints and has numer…
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…
Finite-dimensional boundary control of the linear Kuramoto-Sivashinsky equation under point measurement with guaranteed -gain
Rami Katz, Emilia Fridman
Finite-dimensional observer-based controller design for PDEs is a challenging problem. Recently, such controllers were introduced for the 1D heat equation, under the assumption tha…
Sub-predictors and classical predictors for finite-dimensional observer-based control of parabolic PDEs
Rami Katz, Emilia Fridman
We study constant input delay compensation by using finite-dimensional observer-based controllers in the case of the 1D heat equation. We consider Neumann actuation with nonlocal m…
Finite-dimensional control of the heat equation: Dirichlet actuation and point measurement
Rami Katz, Emilia Fridman
Recently finite-dimensional observer-based controllers were introduced for the 1D heat equation, where at least one of the observation or control operators is bounded. In this pape…
Delayed finite-dimensional observer-based control of 1D heat equation under Neumann actuation
Rami Katz, Idan Basre, Emilia Fridman
Recently a constructive method was introduced for finite-dimensional observer-based control of 1D parabolic PDEs. In this paper we present an improved method in terms of the reduce…
Entrainment to Subharmonic Trajectories in Oscillatory Discrete-Time Systems
Rami Katz, Michael Margaliot, Emilia Fridman
A matrix is called totally positive (TP) if all its minors are positive, and totally nonnegative (TN) if all its minors are nonnegative. A square matrix is called oscillato…
Sampling and Approximation of Bandlimited Volumetric Data
Rami Katz, Yoel Shkolnisky
We present an approximation scheme for functions in three dimensions, that requires only their samples on the Cartesian grid, under the assumption that the functions are sufficient…
On Spectral Approximations With Nonstandard Weight Functions and Their Implementations to Generalized Chaos Expansions
Adi Ditkowski, Rami Kats
In this manuscript, we analyze the expansions of functions in orthogonal polynomials associated with a general weight function in a multidimensional setting. Such orthogonal polyno…