Output stabilization for a class of semi-linear distributed systems

Hanaa Zitane; Rachid Larhrissi; Ali Boutoulout; Academic Editor: Youssef EL FOUTAYENI

Research Communication | Open Access
Volume 2019 | Communication ID 273

Output stabilization for a class of semi-linear distributed systems

Hanaa Zitane, Rachid Larhrissi, Ali Boutoulout

Academic Editor: Youssef EL FOUTAYENI

Received	Accepted	Published
Feb 06, 2019	Feb 26, 2019	Mar 01, 2019

Abstract: In this paper, we study the stabilization of the state fractional spatial derivative, using Riemann Liouville derivative of order $\alpha \in [0, 1[$ for a class of semi-linear distributed systems. Then, we develop sufficient conditions for the exponential and weak stabilization of the fractional output. Hence, we illustrate the obtained results with numerical simulations.