Задача идентификации интегрального ядра в наблюдениях при известных состояниях и производных системы

In this work we consider identification problem if we have some observations of the system including some unknown integral kernel, its known state and may be its derivative $y(t) = \int_{0}^{t} K(t−s)x(s) ds + f_2(t).$ Assuming differentiability of integral kernel $K(s) \in R^{m×n}$ and quadratic constrains we obtained a posteriori estimate of integral kernel, a posteriori set and error. Also we consider the case of unknown restrictions for initial value of integral kernel. All results are presented in the form including solutions of adjoint systems and eigenvalues of some linear operators.