On positional simulation in dynamic systems

Method of Extremal Shift in Problems of Reconstruction of an Input for Parabolic Variational Inequalities

“…One of the approaches to solving the problems of similar type was described, for example, in [5][6][7][8][9][10][11][12]. (See more detail on this approach in surweys [13][14][15][16] …”

On dynamical reconstruction of control in a system with time delay. Finite-dimensional models

“…An approach to solving similar problems based on the principles of closedloop (positional) control [5] and on regularization techniques used in the theory of ill-posed problems [16,17] was proposed in [7] and developed in [6, 8 11-14]. Dynamical reconstruction problems for different classes of systems described by ordinary differential equations [8,11,12], differential-functional equations [1,6,9,10], and parabolic and hyperbolic equations [13,14] were under consideration. In the presented paper continuing investigations [1,[7][8][9][10][11][12][13][14] we suggest a new algorithm for solving a problem of dynamical reconstruction of an input in functional-differential equations.…”

Positional Modeling in a System with Time Delay

“…One of approaches to solving similar problems was presented and developed in [1][2][3]. For delay systems this method was studied in [4,5].…”