Title :
A Hopf algebra for product connections of analytic nonlinear input-output systems
Author_Institution :
Dept. of Electr. & Comput. Eng., Old Dominion Univ., Norfolk, VA, USA
Abstract :
A combinatorial Hopf algebra is described corresponding to a class of analytic nonlinear integral operators known as Fliess operators which are interconnected in a parallel fashion so that their outputs are multiplied componentwise.
Keywords :
algebra; nonlinear control systems; series (mathematics); set theory; Fliess operator; Hopf algebra; analytic nonlinear input-output system; analytic nonlinear integral operator; product connection; Algebra; Control systems; Convolution; Differential equations; Educational institutions; Polynomials; System-on-a-chip;
Conference_Titel :
System Theory (SSST), 2012 44th Southeastern Symposium on
Conference_Location :
Jacksonville, FL
Print_ISBN :
978-1-4577-1492-4
DOI :
10.1109/SSST.2012.6195116
