The article is concerned with the problem of parameter estimation\ in the general case of dynamical systems in the form of state-space. Supposing the\ existence of first integral(s) of the system, we proved some conditions for solvability\ of the problem.

As a set of examples, we considered the classical Lotka-Volterra system. We\ proved that a solution of state-space identification problem is also a solution of a set\ of nonlinear equations. Based on this result, some applications (using CAS Maple)\ are presented.

}, keywords = {dynamical systems, first integral, Lotka-Volterra system, numerical examples, problem of parameter estimation, state-space system identification}, issn = {1061-5369}, doi = {10.12732/npsc.v26i3.7}, url = {https://acadsol.eu/npsc/articles/26/3/7.pdf}, author = {ANDREY ANTONOV and SVETOSLAV NENOV and TSVETELIN TSVETKOV} }