A Faa di Bruno Hopf Algebra for a Group of Fliess Operators with Applications to Feedback

被引：0
|
作者：
Gray, W. Steven [1 ]
Espinosa, Luis A. Duffaut [2 ]
机构：
[1] Old Dominion Univ, Dept Elect & Comp Engn, Norfolk, VA 23529 USA
[2] Univ New South Wales, Australian Def Force Acad, Sch Engn & Informat Technol, Canberra, ACT 2600, Australia
来源：
2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC) | 2011年
基金：
美国国家科学基金会;
关键词：
REALIZATION; SYSTEMS; OUTPUT;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A Faa di Bruno type Hopf algebra is developed for a group of integral operators known as Fliess operators, where operator composition is the group product. The result is applied to analytic nonlinear feedback systems to produce an explicit formula for the feedback product, that is, the generating series for the Fliess operator representation of the closed-loop system written in terms of the generating series of the Fliess operator component systems. This formula is employed to provide a proof that local convergence is preserved under feedback.
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页码：3848 / 3854
页数：7
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