Abstract
This text is concerned with the derivation of conditions for finding the minimal performance of a nonlinear system and with the application of these conditions to the solution of selected minimization problems. In this chapter, optimization is divided into several parts depending on the complexity of the geometry involved. Then, example problems and general problems are presented for parameter optimization and optimal control theory. Next, the conversion of optimal control problems into parameter optimization problems is considered. Necessary conditions and sufficient conditions are discussed. Finally, a more detailed description of the text is presented.
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
© 2003 Springer Science+Business Media New York
About this chapter
Cite this chapter
Hull, D.G. (2003). Introduction to Optimization. In: Optimal Control Theory for Applications. Mechanical Engineering Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-4180-3_1
Download citation
DOI: https://doi.org/10.1007/978-1-4757-4180-3_1
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-2299-1
Online ISBN: 978-1-4757-4180-3
eBook Packages: Springer Book Archive