Abstract
This chapter presents the stability theory for the Banach space based abstract model of Definition 1.2.1, together with the results of applying it to the various forms of differential and discrete linear repetitive processes introduced in the previous chapter. Also the question of testing the resulting stability conditions is addressed by a number of routes. These lead in most cases to computationally feasible tests and, in one case of applications interest, computable bounds on expected performance.
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.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2007 Springer
About this chapter
Cite this chapter
Rogers, E., Galkowski, K., Owens, D.H. (2007). Stability - Theory, Tests and Performance Bounds. In: Control Systems Theory and Applications for Linear Repetitive Processes. Lecture Notes in Control and Information Sciences, vol 349. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71537-5_2
Download citation
DOI: https://doi.org/10.1007/978-3-540-71537-5_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-42663-9
Online ISBN: 978-3-540-71537-5
eBook Packages: EngineeringEngineering (R0)