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Averaging problem for weakly coupled nonexpansive control systems

Abstract : This paper investigates the limit behavior of a singularly perturbed control system with two state variables which are weakly coupled. The main novelty of our averaging approach lies in the fact that the limit dynamic may depend the initial condition of the fast system while in the literature this problem has been usually addressed under conditions that ensure that the limit dynamic is independent to this initial condition. Our study is based on a suitable nonexpansivity condition on the fast system which generalized dissipativity or stability properties of the fast dynamics.
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https://hal.inria.fr/hal-01098226
Contributor : Estelle Bouzat <>
Submitted on : Tuesday, December 23, 2014 - 1:45:08 PM
Last modification on : Friday, April 10, 2020 - 5:17:16 PM

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Marc Quincampoix, Hayk Sedrakyan. Averaging problem for weakly coupled nonexpansive control systems. Nonlinear Analysis: Theory, Methods and Applications, Elsevier, 2015, 113, pp.147-158. ⟨10.1016/j.na.2014.09.026⟩. ⟨hal-01098226⟩

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