Abstract:
The study focuses on a special case of a hybrid system: discretecontinuous systems (DCS) with parameters and intermediate criteria. Such systems are two-level. The parameters are included only in continuous systems operating alternately at the lower level. The upper level is described by a discrete process and plays a connecting role for all the lower-level systems. The upper level also determines the policy of interaction of lower-level systems and provides minimization of functionality. The authors formulate an analogue of sufficient Krotov optimality conditions and construct a method for improving control and parameters. The paper contains an illustrative example. Based on the general conditions obtained, we have researched a special case: quasilinear DNS.
Key words and phrases:discrete-continuous systems with parameters, intermediate criteria, optimal control, quasilinear discrete-continuous systems.