要約

Investigation of deviation of discrete systems trajectories in the case of multiple real positive eigenvalues of their matrices belonging to a unit circle by the state vector norm from the monotonously decreasing curve of free motion is conducted. It is found that the closer is the multiple eigenvalue to unity and the greater is its multiplicity, the greater is the value of trajectories deviation from the monotonously decreasing curve. The analytical relationship enabling one to estimate the value of trajectories deviation is obtained. The possibility of application of connection between the eigenvalue and its multiplicity at the fixed value of deviation is shown. The results of computer experiment are presented.