School of Mathematical Sciences, Fudan University, Shanghai 200433, China
Abstract:
For first-order quasilinear hyperbolic systems with zero
eigenvalues, the author establishes the local exact controllability
in a shorter time-period by means of internal controls acting on
suitable domains. In particular, under certain special but
reasonable hypotheses, the local exact controllability can be
realized only by internal controls, and the control time can be
arbitrarily small.