Asymptotic controllability for linear hyperbolic systems

摘要

For 1-D linear hyperbolic systems with constant coefficients we introduce the asymptotic controllability and the asymptotic zero controllability in L~2 space under the lack of boundary controls and show the duality that they are equivalent, respectively, to the strong observability and the weak observability for the dual system. An example of 4 x 4 system with only one control is shown to be asymptotically controllable but not exactly controllable.