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A small-gain-like theorem for large-scale systems

Authors: Giordano Scarciotti, Laurent Praly, Alessandro Astolfi, 52nd IEEE Conference on Decision and Control (CDC 2013), pp. 6593 - 6596, December 10-13, 2013, Florence. DOI: 10.1109/CDC.2013.6760932
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author = {Giordano Scarciotti, Laurent Praly, Alessandro Astolfi},
editor = {},
title = {A small-gain-like theorem for large-scale systems},
booktitle = {52nd IEEE Conference on Decision and Control (CDC 2013)},
volume = {},
publisher = {},
address = {Florence},
pages = {6593 - 6596},
year = {2013},
abstract = {The behavior of the solutions of large-scale nonlinear dynamical systems close to their omega-limit sets is studied. Exploiting small-gain like conditions we extend the results in [1], considering the interconnection of p of subsystems, and the results in [2], presenting a block version of the weak nested Matrosov theorem.},
keywords = {Vectors, Linear matrix inequalities, Asymptotic stability, Conferences, Large-scale systems, Stability criteria}}