Abstract
In this chapter we shall discuss various properties of an extremal control for systems of a special kind. We shall begin the discussion with so-called linear time-invariant state equations and componentwise control constraints. For such systems we introduce the notion of a switching function, already encountered earlier in connection with particular problems, whose behavior determines the nature of an extremal control. We continue with a treatment of “time-optimal” control and deduce some of its special properties; these are then illustrated in some simple examples.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1981 Springer Science+Business Media New York
About this chapter
Cite this chapter
Leitmann, G. (1981). Special Systems. In: The Calculus of Variations and Optimal Control. Mathematical Concepts and Methods in Science and Engineering, vol 24. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-0333-4_14
Download citation
DOI: https://doi.org/10.1007/978-1-4899-0333-4_14
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4899-0335-8
Online ISBN: 978-1-4899-0333-4
eBook Packages: Springer Book Archive