Scheduled System Maintenance:
On Wednesday, July 29th, IEEE Xplore will undergo scheduled maintenance from 7:00-9:00 AM ET (11:00-13:00 UTC). During this time there may be intermittent impact on performance. We apologize for any inconvenience.
By Topic

On the radius of convergence of cascaded analytic nonlinear systems: The SISO case

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Thitsa, M. ; Dept. of Electr. & Comput. Eng., Old Dominion Univ., Norfolk, VA, USA ; Gray, W.S.

A complete analysis is presented of the radius of convergence of the cascade connection of two SISO analytic nonlinear input-output systems represented as Fliess operators. Such operators are described by convergent functional series, which are indexed by words over a noncommutative alphabet. Their generating series are therefore specified in terms of noncommutative formal power series. Given growth conditions on the coefficients of the generating series for the component systems, the radius of convergence of the cascaded system is computed. The key idea behind the analysis is to use the notion of exchangeable series in combination with the composition product.

Published in:

System Theory (SSST), 2011 IEEE 43rd Southeastern Symposium on

Date of Conference:

14-16 March 2011