Boundary Exponential Stabilization for a Class of Coupled Reaction-Diffusion Equations with State Delay.

Autor:	Abta, Abdelhadi, Boutayeb, Salahaddine
Předmět:	REACTION-diffusion equations EQUATIONS of state NEUMANN boundary conditions STATE feedback (Feedback control systems) CLOSED loop systems EXPONENTIAL stability FUZZY neural networks
Zdroj:	Journal of Dynamical & Control Systems; Oct2022, Vol. 28 Issue 4, p829-850, 22p
Abstrakt:	A class of coupled parabolic PDEs with time delay is considered. We treat the problem of boundary exponential stabilization where the goal is to present a state feedback law with actuation on only one end of the domain which provide the exponential stability of the closed-loop system. We consider both the Dirichlet and Neumann boundary conditions. The corresponding proposed control law is given in explicit form. Numerical simulations are carried out to show the effectiveness of the obtained results. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
Externí odkaz:	Zobrazit plný text záznamu Full text from SpringerLink