Two Inverse Problems Solution by Feedback Tracking Control

Two inverse ill-posed problems are considered. The first problem is an input restoration of a linear system. second one time-dependent coefficients ordinary differential equation. Both reformulated as auxiliary optimal control with regularizing cost functional. For the problem, two models proposed. In model, approximated by output and estimates its derivatives. This model yields approximating linear-quadratic having known explicit solution. derivatives also obtained tracking controls. accurate leads to bilinear-quadratic problem. latter tackled in ways: iterative procedure feedback linearization. Simulation results show that bilinear provides more estimates.