Document Type
Conference Paper
Publication Date
2016
Publication Title
Proceedings of the 22nd International Symposium on Mathematical Theory of Networks and Systems
Pages
783-790
Conference Name
22nd International Symposium on the Mathematical Theory of Networks and Systems, 11-15 July 2016, Minneapolis, Minnesota
Abstract
A common representation of an input-output system in nonlinear control theory is the Chen-Fliess functional series or fliess operator. Such a functional series is said to be globally convergent when there is no a priori upper bound on both the L₁-norm of an admissible input and the length of time over which the corresponding output is well defined. It is known that every Fliess operator having a generating series with Gevrey order 0 ≤ s < 1 is globally convergent. In this paper it is shown that there exists a subset of series with Gevrey order s = 1 which also exhibit global convergence. In particular, the example of Ferfera, which arises in the context of system interconnections, is shown to be one such example.
Rights
Included with the kind written permission of the conference chair, with gratitude to the University of Minnesota University Digital Conservancy.
Original Publication Citation
Winter-Arboleda, I. M., Gray, W. S., & Duffaut Espinosa, L. A. (2016). Expanding the class of globally convergent Fliess operators. In Proceedings of the 22nd International Symposium on Mathematical Theory of Networks and Systems (pp. 783-790). University of Minnesota University Digital Conservancy. http://hdl.handle.net/11299/181518
Repository Citation
Winter-Arboleda, Irina M.; Gray, W. Steven; and Duffaut Espinosa, Luis A., "Expanding the Class of Globally Convergent Fliess Operators" (2016). Electrical & Computer Engineering Faculty Publications. 451.
https://digitalcommons.odu.edu/ece_fac_pubs/451
Comments
Also available on the University of Minnesota University Digital Conservancy.
Persistent identifier: http://hdl.handle.net/11299/181518