An estimate for Green's matrix of a Hamiltonian system in the optimal control problem

We obtain an estimate for the Green's matrix of a Hamilton system in the classical optimal control problem in terms of the norms of matrices discribing the quality of the optomal control; the criterion of quality is quadratic. These matrices solve an extended matrix system that involves the classical Riccati–Lourier equation. Conditionality of the system too is estimated in terms of the norms of solutions.