Document Type

Article

Publication Date

2016

Publication Title

Proceedings of the 22nd International Symposium on Mathematical Theory of Networks and Systems

Pages

791-797

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 a 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. Recent developments have expanded the class of globally convergent Fliess operators. The goal of this paper is to show that the global convergence property is preserved for nonrecursive inter-connections (i.e., the parallel, product and cascade connections) involving this largest known class of globally convergent input-output systems. The goal is only partially achieved, however, as some qualification is still needed for the cascade connection.

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., Duffaut Espinosa, L. A., & Gray, W. S. (2016) Nonrecursively interconnected Fliess operators preserve global convergence: An expanded view. In Proceedings of the 22nd International Symposium on Mathematical Theory of Networks and Systems (pp. 791-797). University of Minnesota University Digital Conservancy. http://hdl.handle.net/11299/181518

Download

Share

COinS