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

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.
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https://hal-mines-paristech.archives-ouvertes.fr/hal-01544657
Contributor : François Chaplais <>
Submitted on : Wednesday, June 21, 2017 - 9:53:40 PM
Last modification on : Thursday, September 24, 2020 - 5:04:18 PM

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Giordano Scarciotti, Laurent Praly, Alessandro Astolfi. A small-gain-like theorem for large-scale systems. 52nd IEEE Conference on Decision and Control (CDC 2013), Dec 2013, Florence, Italy. pp.6593 - 6596, ⟨10.1109/CDC.2013.6760932⟩. ⟨hal-01544657⟩

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