Oblique projection based stabilizing feedback for linear nonautonomous coupled parabolic-ode systems

Oblique projection based stabilizing feedback for linear nonautonomous coupled parabolic-ode systems 

by Sérgio Rodrigues, Johann Radon Institute for Computational and Applied Mathematics,  Linz, Austria. 

Data: 12/09/2018

Hora: 14h00

Local: Sala 1.4 - Edifício VII, FCT-UNL

 

Abstract:

 

Global feedback stabilizability results are derived for nonautonomous coupled systems arising from the
linearization around a given time-dependent trajectory of FitzHugh-Nagumo type systems. The feedback
is explicit and is based on suitable oblique (nonorthogonal) projections in Hilbert spaces.
The actuators are, typically, a finite number of indicator functions and act only in the parabolic equation.
Local feedback stabilizability to time-dependent trajectories results are derived for nonlinear coupled parabolic-ode systems of the FitzHugh-Nagumo type.
Simulations are presented showing the stabilizing performance of the feedback control.