Adaptive Output Feedback Stabilization of $n + m$ Coupled Linear Hyperbolic PDEs with Uncertain Boundary Conditions

We combine a swapping-based adaptive observer with a backstepping-based control law to stabilize a system of $ n + m $ coupled linear hyperbolic partial differential equations (PDEs) with uncertain boundary parameters, using boundary sensing only. Proof of boundedness and square integrability in the $ L_2 $-sense of all signals in the closed loop is given, and the theory is demonstrated in a simulation.