Exact Controllability For Linear Hyperbolic Systems With Zero Eigenvalues

This paper mainly discussed the exact controllability for a one-order linear hy-perbolic systems which have zero eigenvalues.Necessary and sufficient conditions to realize exact boundary controllability are given at first.When the conditions men-tioned before are met,two-sides and one-side exact boundary control are achieved.However,when necessary and sufficient conditions are not met,we exerted appro-priate internal control combined with proper boundary control on the corresponding non-zero eigenvalue equations to realize exact controllability of such systems.