Search

We consider optimal control problems for nonlinear systems whose dynamics depends on the maximum of the control function and the maximum of the state over a certain time interval of prehistory. We are interested in the approximation of solutions for this kind of problems. An averaging method is developed for this purpose., UDC 517.9 Introduction In some applications, as a result of modeling of controlled processes, the researchers get functional differential equations with small parameters. Moreover, if the corresponding system is nonlinear, [...]