Smooth Output-to-State Stability for multistable systems on compact manifolds

DOI10.1051/cocv/2022021zbMath1490.93110OpenAlexW4220669412WikidataQ114011475 ScholiaQ114011475MaRDI QIDQ5864591

Paolo Forni, David Angeli

Publication date: 8 June 2022

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/cocv/2022021

zbMATH Keywords

nonlinear stabilitydetectabilitymultistabilityoutput-to-state stabilitysystems on manifolds

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Input-output approaches in control theory (93D25) Stability of manifolds of solutions to ordinary differential equations (34D35)

Cites Work

• Comments on integral variants of ISS
• Manifolds, tensor analysis, and applications.
• Output-to-state stability and detectability of nonlinear systems
• The equality of mixed partial derivatives under weak differentiability conditions
• Global Gronwall estimates for integral curves on Riemannian manifolds
• Input-Output-to-State Stability
• Characterizations of Input-to-State Stability for Systems With Multiple Invariant Sets
• Filtrations, Decompositions, and Explosions
• Separation Principles for Input-Output and Integral-Input-to-State Stability
• A Smooth Converse Lyapunov Theorem for Robust Stability
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