Abstract
Mathematics, as well as several areas of application, abounds with situations where it is desired to control the behavior of the trajectories of a given dynamical system. The goal can be either geometric (keep the state of the system in a given set, or bring it toward the set), or functional (find the trajectory that is optimal relative to a given criterion). More specific issues arise subsequently, such as the construction of feedback control mechanisms achieving the aims we have in mind. In this chapter we will identify a complex of such fundamental and related issues, as they arise in connection with the control of ordinary differential equations in a deterministic setting. The first section sets the scene and develops a technical base for the entire chapter.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Rights and permissions
Copyright information
© 1998 Springer-Verlag New York, Inc.
About this chapter
Cite this chapter
(1998). A Short Course in Control Theory. In: Nonsmooth Analysis and Control Theory. Graduate Texts in Mathematics, vol 178. Springer, New York, NY. https://doi.org/10.1007/978-0-387-22625-5_5
Download citation
DOI: https://doi.org/10.1007/978-0-387-22625-5_5
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-98336-3
Online ISBN: 978-0-387-22625-5
eBook Packages: Springer Book Archive