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@article{Scarciotti:2015:10.1109/TAC.2015.2444132,
author = {Scarciotti, G and Praly, L and Astolfi, A},
doi = {10.1109/TAC.2015.2444132},
journal = {IEEE Transactions on Automatic Control},
pages = {648--661},
title = {Invariance-like theorems and “lim inf” convergence properties},
url = {http://dx.doi.org/10.1109/TAC.2015.2444132},
volume = {61},
year = {2015}
}

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TY  - JOUR
AB  - Several theorems, inspired by the Krasovskii-LaSalle invariance principle, to establish “lim inf” convergence results are presented in a unified framework. These properties are useful to “describe” the oscillatory behavior of the solutions of dynamical systems. The theorems resemble “lim inf” Matrosov and Small-gain theorems and are based on a “lim inf” Barbalat's Lemma. Additional technical assumptions to have “lim” convergence are given: the “lim inf”/“lim” relation is discussed in-depth and the role of some of the assumptions is illustrated by means of examples.
AU  - Scarciotti,G
AU  - Praly,L
AU  - Astolfi,A
DO  - 10.1109/TAC.2015.2444132
EP  - 661
PY  - 2015///
SN  - 1558-2523
SP  - 648
TI  - Invariance-like theorems and “lim inf” convergence properties
T2  - IEEE Transactions on Automatic Control
UR  - http://dx.doi.org/10.1109/TAC.2015.2444132
UR  - http://hdl.handle.net/10044/1/32196
VL  - 61
ER  -

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