8 citations · 12 across the 11 of their papers we have counts for
12 papers
Kernel Methods for the Construction of Certified Lyapunov Functions via Approximate Koopman Eigenfunctions
P. Giesl, S. Hafstein, B. Hamzi +4
We present a kernel-based methodology for constructing Lyapunov functions for nonlinear dynamical systems using approximate Koopman eigenfunctions. Our approach decomposes principa…
The stability of the multivariate geometric Brownian motion as a bilinear matrix inequality problem
Gerardo Barrera, Eyleifur Bjarkason, Sigurdur Hafstein
In this manuscript, we study the stability of the origin for the multivariate geometric Brownian motion. More precisely, under suitable sufficient conditions, we construct a Lyapun…
Sufficient Stability Conditions for a Class of Switched Systems with Multiple Steady States
Jacopo Piccini, Elias August, Sigurdur Hafstein +1
In this paper, we present a novel approach to determine the stability of switched linear and nonlinear systems using Sum of Squares optimisation. Particularly, we use Sum of Square…
Linear Programming based Lower Bounds on Average Dwell-Time via Multiple Lyapunov Functions
Sigurdur Hafstein, Aneel Tanwani
With the objective of developing computational methods for stability analysis of switched systems, we consider the problem of finding the minimal lower bounds on average dwell-time…
Review on contraction analysis and computation of contraction metrics
Peter Giesl, Sigurdur Hafstein, Christoph Kawan
Contraction analysis considers the distance between two adjacent trajectories. If this distance is contracting, then trajectories have the same long-term behavior. The main advanta…
A Projected Subgradient Method for the Computation of Adapted Metrics for Dynamical Systems
Maurício Louzeiro, Christoph Kawan, Sigurdur Hafstein +2
In this paper, we extend a recently established subgradient method for the computation of Riemannian metrics that optimizes certain singular value functions associated with dynamic…