Application of volterra-type test equations to identify input signals

The paper addresses the problem of identifying a scalar input signal of a controlled dynamic object described by the integral model in the form of a Volterra polynomial. Special classes of polynomial integral equations are distinguished, the Volterra kernels of which guarantee the fulfillment of unimprovable estimates for solutions to nonlinear inequalities. Alongside theoretical statements, the results of a computational experiment in the problem of modeling the dynamics of a heat-and-power object are presented.