Volume 28, 2022
|Number of page(s)||53|
|Published online||25 May 2022|
Smooth Output-to-State Stability for multistable systems on compact manifolds
Department of Electrical and Electronic Engineering, Imperial College, London, UK
2 Department of Information Engineering, University of Florence, Florence, Italy
* Corresponding author: firstname.lastname@example.org
Accepted: 25 March 2022
Output-to-State Stability (OSS) is a notion of detectability for nonlinear systems that is formulated in the ISS framework. We generalize the notion of OSS for systems which possess a decomposable invariant set and evolve on compact manifolds. Building upon a recent extension of the ISS theory for this very class of [systems [D. Angeli and D. Efimov, IEEE Trans. Autom. Control 60 (2015) 3242–3256.], the paper provides equivalent characterizations of the OSS property in terms of asymptotic estimates of the state trajectories and, in particular, in terms of existence of smooth Lyapunov-like functions.
Mathematics Subject Classification: 93B07 / 93D05 / 93D20 / 93D25 / 34D23 / 34D35 / 34D45 / 37C70
Key words: Nonlinear stability / detectability / Output-to-State Stability / multistability / systems on manifolds
© The authors. Published by EDP Sciences, SMAI 2022
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