4 papers
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…
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…