OPTIMALITY CONDITIONS FOR A CLASS OF HYBRID SYSTEMS
Andrey Valuev
A class of hybrid systems models introduced by the author
gives the possibility to represent production
processes in complex industrial systems such as opencast mines
which elements change their qualitative states subsequently or
cyclically. The problem of resource planning for project
scheduling as well as some problems of inventory control may be
treated in the same way. The way of changing the succession of
events and optimality conditions are presented that show the
principal method of finding the optimum control. In the case of
linear models optimality conditions are both necessary and
sufficient and the optimum may be found with a finite method based
on decomposition techniques.