ABSTRACT
We considered before optimization problems for the control systems A y = B v + f $ Ay=~Bv+f $ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315152448/5968d418-c0e2-45a5-91c4-37245a5e7358/content/inline-math6_1.tif"/> . The control and the state function belong to the different terms of the given equation here. However, we can have other forms of the control systems. This is true, for example, for the systems with the control in the coefficients of the state operator. The additional difficulty of these problems is the solvability of the state equation on the set of the admissible controls only. This makes difficult the determination of the derivative of the state function with respect to the control.
