By Hans P. Geering Ph.D. (auth.)
Because the theoretical a part of the publication relies at the calculus of diversifications, the exposition is especially obvious and calls for often a trivial mathematical history. in terms of open-loop optimum regulate, this ends up in Pontryagin’s minimal precept and, in terms of closed-loop optimum keep an eye on, to the Hamilton-Jacobi-Bellman thought which exploits the main of optimality.
Many optimum regulate difficulties are solved thoroughly within the physique of the textual content. in addition, the entire workout difficulties which seem on the ends of the chapters are sketched within the appendix.
The publication additionally covers a few fabric that isn't frequently present in optimum keep an eye on textual content books, particularly, optimum keep an eye on issues of non-scalar-valued functionality standards (with purposes to optimum filtering) and Lukes’ approach to approximatively-optimal keep an eye on design.
Furthermore, a quick creation to differential online game idea is given. This ends up in the Nash-Pontryagin Minimax precept and to the Hamilton-Jacobi-Nash thought. the cause of together with this subject lies within the vital connection among the differential video game concept and the H-control thought for the layout of sturdy controllers.