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- W4376123024 abstract "We propose a time-discounted integral variant of incremental input/output-to-state stability (i-iIOSS) together with an equivalent Lyapunov function characterization. Continuity of the i-iIOSS Lyapunov function is ensured if the system satisfies a certain continuity assumption involving the Osgood condition. We show that the proposed i-iIOSS notion is a necessary condition for the existence of a robustly globally asymptotically stable observer mapping in a time-discounted $L^2$-to-$L^{infty}$ sense. In combination, our results provide a general framework for a Lyapunov-based robust stability analysis of observers in continuous time, which in particular is crucial for the use of optimization-based state estimators (such as moving horizon estimation)." @default.
- W4376123024 created "2023-05-12" @default.
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- W4376123024 date "2023-05-09" @default.
- W4376123024 modified "2023-10-14" @default.
- W4376123024 title "On an integral variant of incremental input/output-to-state stability and its use as a notion of nonlinear detectability" @default.
- W4376123024 doi "https://doi.org/10.48550/arxiv.2305.05442" @default.
- W4376123024 hasPublicationYear "2023" @default.
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