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Weak stabilization of a fractional output for a class of semi-linear dynamical systems
(Maltepe Üniversitesi, 2019) Larhrissi, R.; Zitane, H.; Boutoulout, A.
In this paper, we study the stabilization of the state fractional spatial derivative, using Riemann Liouville derivative of order ? ? [0, 1[ for a class of semi-linear distributed systems. Then, we develop sufficient conditions for the weak stabilization of a fractional output. Finally, we illustrate the obtained results with numerical simulations. In this work, the state fractional spatial derivative stabilization of order ? ? [0, 1[, for a class of semi-linear distributed systems, is discussed. We explored conditions that characterize the exponential and weak stabilization of the fractional output. Furthermore, we illustrated the effectiveness of the investigated stabilization theorems by numerical simulations. This work gives an opening to other questions, this is the case of extending these results to distributed nonlinear systems.