Identification of the inputs of quasilinear systems

Consideration was given to restoration of the input of the quasilinear dynamic system from the measurements of its output. By the input is meant the pair consisting of the initial system state and the input action on the system (control, perturbation, and so on). The problem was solved using A. N. Tikhonov's method of regularization for which the sufficient convergence conditions and error estimates were established. Conditions for representability of an unknown input as a series in powers of a small parameter and the explicit form of the coefficients of this representation were determined.