Operations Research in Transportation Systems pp 285-308 | Cite as

# Optimal Control

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## Abstract

The theory of optimal control is a branch of applied mathematics that studies the best ways of executing dynamic controlled (controllable) processes [1]. Among those of considerable interest for most applications, there are ones described by ordinary and partial differential equations and also by functional equations with a discrete variable. In all cases, the functions, called controls, appearing in equations describing the processes under study are to be defined assuming that these controls are chosen from a certain domain determined by a system of constraints. The quality of control is described by a functional depending on both the controls and the system of functions determining the trajectory of the dynamic process variation under the influence of the controls.

## Keywords

Maximum Principle Optimal Control Problem Steklov Institute Differential Inclusion Pontryagin Maximum Principle## Preview

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## References

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