4 papers
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…
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…