13 citations · 41 across the 23 of their papers we have counts for
34 papers
A convex optimization approach to the Lyapunov exponents
Christoph Kawan
The aim of this paper is to shed more light on some recent ideas about Lyapunov exponents and clarify the formal structures behind these ideas. In particular, we show that the vect…
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…
A small-gain theory for infinite networks via infinite-dimensional gain operators
Christoph Kawan, Majid Zamani
In this paper, we develop a new approach to study gain operators built from the interconnection gains of infinite networks of dynamical systems. Our focus is on the construction of…
Ergodicity of Controlled Stochastic Nonlinear Systems under Information Constraints: Refined Bounds via Splitting
Nicolás Garcia, Christoph Kawan, Serdar Yüksel
This paper considers the problem of stabilizing a discrete-time non-linear stochastic system over a finite capacity noiseless channel. Our focus is on systems which decompose into…
ISS small-gain criteria for infinite networks with linear gain functions
Andrii Mironchenko, Navid Noroozi, Christoph Kawan +1
This paper provides a Lyapunov-based small-gain theorem for input-to-state stability (ISS) of networks composed of infinitely many finite-dimensional systems. We model these networ…