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20172022
most citedSmall-gain theorem for stability, cooperative control and distributed observation of infinite networks

5 citations · 8 across the 5 of their papers we have counts for

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8 papers · 1 filter

math.OC2022

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…

math.OC2021

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…

math.OC2021

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…

math.OC2021

A subgradient algorithm for data-rate optimization in the remote state estimation problem

Christoph Kawan, Sigurdur Hafstein, Peter Giesl

In the remote state estimation problem, an observer tries to reconstruct the state of a dynamical system at a remote location, where no direct sensor measurements are available. Th…

math.OC2019

Ergodicity Conditions For Controlled Stochastic Non-Linear Systems Under Information Constraints

Nicolas Garcia, Christoph Kawan, Serdar Yuksel

Consider a stochastic nonlinear system controlled over a possibly noisy communication channel. An important problem is to characterize the largest class of channels for which there…

math.OC2019

A Lyapunov-based small-gain theorem for infinite networks

Christoph Kawan, Andrii Mironchenko, Abdalla Swikir +2

This paper presents a small-gain theorem for networks composed of a countably infinite number of finite-dimensional subsystems. Assuming that each subsystem is exponentially input-…