Uniform Detectability of Linear Time Varying Systems with Exponential Dichotomy

Markus Tranninger; Richard Seeber; Martin Steinberger; Martin Horn

doi:10.1109/lcsys.2020.2992818

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arXiv · 2004.10533

Uniform Detectability of Linear Time Varying Systems with Exponential Dichotomy

Markus Tranninger·Richard Seeber·Martin Steinberger·Martin Horn

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Abstract

Exponential dichotomies play a central role in stability theory for dynamical systems. They allow to split the state space into two subspaces, where all trajectories in one subspace decay whereas all trajectories in the other subspace grow, uniformly and exponentially. This paper studies uniform detectability and observability notions for linear time varying systems, which admit an exponential dichotomy. The main contributions are necessary and sufficient detectability conditions for this class of systems.

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Markus Tranninger, Richard Seeber, Martin Steinberger, Martin Horn. 2020-04-22. Uniform Detectability of Linear Time Varying Systems with Exponential Dichotomy. https://doi.org/10.1109/lcsys.2020.2992818

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