On recovery of inverse spectral data from inverse dynamical data by means of Boundary Control method

摘要

We consider the dynamical system with control for the abstract nonselfadjoint operator in the Hilbert space and derive the equations of the Boundary Control method for this problem. We show that the solution of this equations depends of the controllability type of the dynamical system. We provide the applications of this equation to the problem of the recovering of the spectral data from the dynamical one.