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- W4249211050 abstract "Publisher SummaryThis chapter provides an overview of extremal problems. Extremal problems are quite varied; yet, although it would seem that ancient geometrical extremum problems are completely unlike optimal control problems for guided flight, one can see that investigations of such problems have much in common. The chapter discusses common features inherent in extremal problems, and some basic principles for investigating them. A problem of finding the smallest or greatest value usually arises in a descriptive, and not an analytical, form. In order to apply mathematical tools, one must formalize the problem. Usually, it is possible to separate three components that constitute a problem posed in a precise mathematical way. These components are: a function f0(x) together with its domain X and a subset C of the set X, which gives the constraints of the problem. The set X is called the class of underlying elements, and the subset C is called the set of admissible elements, or simply the constraint." @default.
- W4249211050 created "2022-05-12" @default.
- W4249211050 date "1979-01-01" @default.
- W4249211050 modified "2023-10-16" @default.
- W4249211050 title "0. Introduction Background Material" @default.
- W4249211050 doi "https://doi.org/10.1016/s0168-2024(09)70034-7" @default.
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