To the question of controls synthesis based on analysis of variation of extended functional on many functions of limited variation

The problems to optimize the dynamic systems are complex and traditionally can be reduced to a two-point boundary value problem. Therefore, the problem to obtain the control laws close to optimal law and suitable for practical implementation is always relevant. Performed mathematical simulation shows that the controls synthesis based on the analysis of the variation of the extended functional on the set of functions of bounded variation leads to a constructive result.