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.

Comments

Also available on the University of Minnesota University Digital Conservancy.

Persistent identifier: http://hdl.handle.net/11299/181518

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

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