This article deals with the backstepping design of observer-based compensators for parabolic ODE–PDE–ODE systems. The latter consist $\boldsymbol {n}$ coupled PDEs distinct diffusion coefficients and spatially-varying coefficients, that...

We show that quasihyperbolic geodesics exist in convex domains in reflexive Banach spaces and that quasihyperbolic geodesics are quasiconvex in the norm metric in convex domains in all normed spaces. 2000 Mathematics Subject Classification: 30C65