113 citations · 139 across the 11 of their papers we have counts for
12 papers
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…
Stability Analysis of a Class of Discontinuous Discrete-Time Systems
Francesco Ferrante, Giorgio Valmorbida
The stability analysis of a class of discontinuous discrete-time systems is studied in this paper. The system under study is modeled as a feedback interconnection of a linear syste…
A Framework for Input-Output Analysis of Wall-Bounded Shear Flows
Mohamadreza Ahmadi, Giorgio Valmorbida, Dennice Gayme +1
We propose a framework to understand input-output amplification properties of non- linear partial differential equation (PDE) models of wall-bounded shear flows, which are spatiall…
Safety Verification for Distributed Parameter Systems Using Barrier Functionals
Mohamadreza Ahmadi, Giorgio Valmorbida, Antonis Papachristodoulou
We study the safety verification problem for a class of distributed parameter systems described by partial differential equations (PDEs), i.e., the problem of checking whether the…
A Semi-Definite Programming Approach to Stability Analysis of Linear Partial Differential Equations
Aditya Gahlawat, Giorgio Valmorbida
We consider the stability analysis of a large class of linear 1-D PDEs with polynomial data. This class of PDEs contains, as examples, parabolic and hyperbolic PDEs, PDEs with boun…
Region of Attraction Estimation Using Invariant Sets and Rational Lyapunov Functions
Giorgio Valmorbida, James Anderson
This work addresses the problem of estimating the region of attraction (RA) of equilibrium points of nonlinear dynamical systems. The estimates we provide are given by positively i…