Abstract:
It is considered a special case of discrete-continuous systems (DCS): linear-quadratic DCS w.r.t. state variables with controllable coefficients. For this class of systems a prototype of Krotov iterative global improvement method is constructed. Its last iteration gives a solution in the form of approximate optimal control synthesis. The obtained result can be treated as development of optimal analytical controllers design theory with application to DCS. A visual example is considered. (In Russian).
Key words and phrases:discrete-continuous system, global improvement method, optimal control synthesis, turnpike solutions.