Strictly Proper Control Design for the Stabilization of 2×2 Linear Hyperbolic ODE-PDE-ODE Systems
Strictly Proper Control Design for the Stabilization of 2×2 Linear Hyperbolic ODE-PDE-ODE Systems
In this paper, we consider the problem of L <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2-</sup> exponential stabilization of a coupled ODE-hyperbolic PDE-ODE system, where actuation is available through one ODE. Based on the backstepping technique, the system is mapped into an equivalent delay form which allows for the construction of a strictly proper …