A Decay Estimate for Constrained Semilinear Systems

Authors

Azzeddine Tsouli, TSI Team, MACS Laboratory, Department of Mathematics abd computer, Faculty of Sciences Meknes, Moulay Ismail University, MoroccoFollow
Mohamed Ouzahra, AMES Team (Applied Mathematics and Engineering Sciences), Department of Mathematics & Informatics, ENS. Univesity of Sidi Mohamed Ben Abdellah, Fes, MoroccoFollow
Ali Boutoulout, TSI Team, MACS Laboratory, Department of Mathematics abd computer, Faculty of Sciences Meknes, Moulay Ismail University, MoroccoFollow

Abstract

The paper proposes a constrained feedback control that guarantee weak and strong stabilizability for distributed semilinear systems of the form : dy(t) dt = Ay(t)+ p(t)Ny(t), where A is the infinitesimal generator of a linear C0−semigroup of contractions on a Hilbert space H and N is a (nonlinear) operator from H into its self. A decay rate of the state is estimated. Also the robustness of the considered control is discussed. Applications and simulations are provided.

Recommended Citation

Tsouli, Azzeddine; Ouzahra, Mohamed; and Boutoulout, Ali (2014) "A Decay Estimate for Constrained Semilinear Systems," Information Sciences Letters: Vol. 3 : Iss. 2 , PP -.
Available at: https://digitalcommons.aaru.edu.jo/isl/vol3/iss2/6