@article{Angeli:2015:10.1109/TAC.2015.2418676,
author = {Angeli, D and Efimov, D},
doi = {10.1109/TAC.2015.2418676},
journal = {IEEE Transactions on Automatic Control},
pages = {3242--3256},
title = {Characterizations of Input-to-State Stability for systems with multiple invariant sets},
url = {http://dx.doi.org/10.1109/TAC.2015.2418676},
volume = {60},
year = {2015}
}

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TY  - JOUR
AB  - We generalize the theory of Input-to-State Stability (ISS) and of its characterizations by means of Lyapunov dissipation inequalities to the study of systems admitting invariant sets, which are not necessarily stable in the sense of Lyapunov but admit a suitable hierarchical decomposition. It is the latter which allows to greatly extend the class of systems to which ISS theory can be applied, allowing in a unified treatment to deal with oscillators in Euclidean coordinates, almost globally asymptotically stable systems on manifolds, systems with multiple equilibria in Rn just to name a few.
AU  - Angeli,D
AU  - Efimov,D
DO  - 10.1109/TAC.2015.2418676
EP  - 3256
PY  - 2015///
SN  - 0018-9286
SP  - 3242
TI  - Characterizations of Input-to-State Stability for systems with multiple invariant sets
T2  - IEEE Transactions on Automatic Control
UR  - http://dx.doi.org/10.1109/TAC.2015.2418676
UR  - https://ieeexplore.ieee.org/document/7076646
UR  - http://hdl.handle.net/10044/1/39166
VL  - 60
ER  - 

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