Degenerate optimal control problems for nonuniform discrete systems

The class of nonuniform discrete systems is considered. These systems are prevalent in practice and can be obtained via discretization of continuous systems when solving optimization problems using iterative methods. For these systems the Krotov type sufficient optimality conditions are formulated and the concept of degenerate optimal control problem is introduced. Such approaches as reduction to derived systems and the multiple maximum method are extended to the systems under consideration. An illustrative example is given. (In Russian)