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