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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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math.DS2022

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…

math.DS20205 cited

Small-gain theorem for stability, cooperative control and distributed observation of infinite networks

Navid Noroozi, Andrii Mironchenko, Christoph Kawan +1

Motivated by a paradigm shift towards a hyper-connected world, we develop a computationally tractable small-gain theorem for a network of infinitely many systems, termed as infinit…

math.DS2018

Numerical approximation of the data-rate limit for state estimation under communication constraints

Sigurdur Hafstein, Christoph Kawan

In networked control, a fundamental problem is to determine the smallest capacity of a communication channel between a dynamical system and a controller above which a prescribed co…

math.DS2018

Lyapunov exponents and partial hyperbolicity of chain control sets on flag manifolds

Adriano Da Silva, Christoph Kawan

For a right-invariant control system on a flag manifold of a real semisimple Lie group, we relate the -Lyapunov exponents to the Lyapunov exponents of…

math.DS2017

Entropy of nonautonomous dynamical systems

Christoph Kawan

Different notions of entropy play a fundamental role in the classical theory of dynamical systems. Unlike many other concepts used to analyze autonomous dynamics, both measure-theo…