Computer Models of Dynamic System Linear Operators
Abstract
The linear operators of control systems on the limited interval of time are considered and their properties are investigated. The classification of linear operators possessing different types of a symmetry is introduced, their extreme qualities are specified. The work is logic prolongation of the previous works of the authors and introduces into reviewing a circle of operators generated by a linear dynamic system. It is shown, that the operators associated with a linear dynamic system can have various aspects of a symmetry: an usual symmetry and a skew-symmetry (symmetry concerning a principal diagonal), symmetry and skew-symmetry concerning a secondary diagonal, symmetry and skew-symmetry concerning vertical and horizontal axes, Hankel and Toeplitz symmetry, symmetry of singular functions and spectrum