Representations of control systems in the Fliess algebra and in the algebra of nonlinear power moments

✍ Scribed by G.M. Sklyar; S.Yu. Ignatovich

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 164 KB
• Volume: 47
• Category: Article
• ISSN: 0167-6911
• DOI: 10.1016/s0167-6911(02)00201-3

✦ Synopsis

In this paper, we analyze a representation of a ne nonlinear systems in the form of series of nonlinear power moments. A di erence between such a representation and the representation as the Fliess series is caused by a di erence in the structure of corresponding algebras. It leads to a di erence between the conditions of realizability in the form of n-dimensional a ne systems for these two types of series.