Монография посвящена новому подходу к исследованию задач оптимального управления. Этот подход основан на процедуре продолжения оптимальных траекторий и позволяет исследовать качественные особенности поведения оптимальных траекторий и конструировать эффективные алгоритмы. В частности, для задач оптимального управления с линейно входящими функциями управления удается свести исходную задачу оптимального управления к последовательности задач Коши для систем дифференциальных уравнений вдоль соответствующей последовательности оптимальных режимов.
The Monograph is dedicated to new approach to study the optimal control problem. This approach is founded on procedure of the continuation of optimal trajectories. Its allows to research the qualitative particularities of the behavior of the optimal trajectories and construct the efficient computing algorithms. In particular, for the optimal control problem with linear controls, manages to reduce the source optimal control problem to the sequences of the Kaushi problems for systems of the differential equations along sequence of optimum modes.
Monografiya posvyashchena novomu podkhodu k issledovaniyu zadach optimalnogo upravleniya. Etot podkhod osnovan na protsedure prodolzheniya optimalnykh traektoriy i pozvolyaet issledovat kachestvennye osobennosti povedeniya optimalnykh traektoriy i konstruirovat effektivnye algoritmy. V chastnosti, dlya zadach optimalnogo upravleniya s lineyno vkhodyashchimi funktsiyami upravleniya udaetsya svesti iskhodnuyu zadachu optimalnogo upravleniya k posledovatelnosti zadach Koshi dlya sistem differentsialnykh uravneniy vdol sootvetstvuyushchey posledovatelnosti optimalnykh rezhimov. The Monograph is dedicated to new approach to study the optimal control problem. This approach is founded on procedure of the continuation of optimal trajectories. Its allows to research the qualitative particularities of the behavior of the optimal trajectories and construct the efficient computing algorithms. In particular, for the optimal control problem with linear controls, manages to reduce the source optimal control problem to the sequences of the Kaushi problems for systems of the differential equations along sequence of optimum modes.
The monograph is devoted to a new approach to the study of optimal control problems. This approach is based on the continuation of optimal trajectories and allows you to explore the qualitative features of the behavior of optimal trajectories and to design efficient algorithms. In particular, for optimal control problems with linearly entering control functions it is possible to reduce the original optimal control problem to a sequence of Cauchy problems for systems of differential equations along the corresponding sequence of optimal regimes.
The Monograph is dedicated to new approach to study the optimal control problem. This approach is founded on procedure of the continuation of optimal trajectories. Its allows to research the qualitative particularities of the behavior of the optimal trajectories and construct the efficient computing algorithms. In particular, for the optimal control problem with linear controls, manages to reduce the source optimal control problem to the sequences of the Kaushi problems for systems of the differential equations along the sequence of optimum modes.
