2 citations · 3 across the 5 of their papers we have counts for
4 papers · 1 filter
Design of low-dimensional controllers for high-dimensional systems
Mathieu Bajodek, Hugo Lhachemi, Giorgio Valmorbida
This article presents proposals for the design of reduced-order controllers for high-dimensional dynamical systems. The objective is to develop efficient control strategies that en…
Instability conditions for reaction-diffusion-ODE systems
Mathieu Bajodek, Hugo Lhachemi, Giorgio Valmorbida
This paper analyzes the stability of a reactiondiffusion equation coupled with a finite-dimensional controller through Dirichlet boundary input and Neumann boundary output. Going a…
Barrier Functionals for Output Functional Estimation of PDEs
Mohamadreza Ahmadi, Giorgio Valmorbida, Antonis Papachristodoulou
We propose a method for computing bounds on output functionals of a class of time-dependent PDEs. To this end, we introduce barrier functionals for PDE systems. By defining appropr…
Semi-definite programming and functional inequalities for Distributed Parameter Systems
G. Valmorbida, M. Ahmadi, A. Papachristodoulou
We study one-dimensional integral inequalities, with quadratic integrands, on bounded domains. Conditions for these inequalities to hold are formulated in terms of function matrix…