Amplitudes of Test Signals for Identification of Volterra Kernels

The theoretical part of the paper is concerned with the necessary and sufficient conditions for the existence of a solution to a two-dimensional Volterra integral equation of the first kind for the case of vector input signal. The considered constraints on the selection of amplitudes of the test input signals applied to identify asymmetric Volterra kernels are of practical value in the stage of experimental design. The practical part of the research is focused on the problem of optimal selection of an amplitude (height) of the test inputs for the identification of Volterra kernels in a scalar case. The illustrative calculations are made on the example of "reference" dynamic systems. The reference systems are represented by mathematical models of transient processes in a heat exchanger component and in a horizontal-axis wind turbine. The harmonization of constraints on the amplitudes is obtained for both a test mathematical model and models of transient processes of thermal and electric power facilities.