40 citations · 137 across the 29 of their papers we have counts for
7 papers · 1 filter
A homotopy theorem for incremental stability
Thomas Chaffey, Andrey Kharitenko, Fulvio Forni +1
A theorem is proved to verify incremental stability of a feedback system via a homotopy from a known incrementally stable system. A first corollary of that result is that increment…
Polyhedral Estimation of L-1 and L-infinity Incremental Gains of Nonlinear Systems
Dimitris Kousoulidis, Fulvio Forni
We provide novel dissipativity conditions for bounding the incremental L-1 gain of systems. Moreover, we adapt existing results on the L-infinity gain to the incremental setting an…
Polyhedral Lyapunov Functions with Fixed Complexity
Dimitris Kousoulidis, Fulvio Forni
Polyhedral Lyapunov functions can approximate any norm arbitrarily well. Because of this, they are used to study the stability of linear time varying and linear parameter varying s…
An Optimization Approach to Verifying and Synthesizing K-Cooperative Systems
Dimitris Kousoulidis, Fulvio Forni
Differential positivity and K-cooperativity, a special case of differential positivity, extend differential approaches to control to nonlinear systems with multiple equilibria, suc…
The norm as the differential gain of a -dominant system
Alberto Padoan, Fulvio Forni, Rodolphe Sepulchre
The differential gain of a linear, time-invariant, -dominant system is shown to coincide with the norm of its transfer function ,…
Finding cones for K-cooperative systems
Dimitris Kousoulidis, Fulvio Forni
We design and test a cone finding algorithm to robustly address nonlinear system analysis through differential positivity. The approach provides a numerical tool to study multi-sta…
Path-complete -dominant switching linear systems
Guillaume O. Berger, Fulvio Forni, Raphaël M. Jungers
The notion of path-complete -dominance for switching linear systems (in short, path-dominance) is introduced as a way to generalize the notion of dominant/slow modes for LTI sys…