Backstepping stabilization of 2×2 linear hyperbolic PDEs coupled with potentially unstable actuator and load dynamics
Backstepping stabilization of 2×2 linear hyperbolic PDEs coupled with potentially unstable actuator and load dynamics
We consider the problem of full-state feedback stabilization of a (possibly unstable) system of hyperbolic partial differential equations (PDEs). Unlike previous works, boundary couplings to linear ordinary differential equations (ODEs) at both boundaries are considered and actuation is available through one of these ODE dynamics. This structure can arise when …