On Structural Non-commutativity in Affine Feedback of SISO Nonlinear Systems

Autor: Venkatesh, G.S.
Zdroj: IFAC-PapersOnLine; January 2024, Vol. 58 Issue: 17 p421-426, 6p
Abstrakt: The affine feedback connection of SISO nonlinear systems modeled by Chen-Fliess series is shown to be a group action on the plant which is isomorphic to the semi-direct product of shuffle and additive group of non-commutative formal power series. The additive and multiplicative feedback loops in an affine feedback connection are thus proven to be structurally non-commutative. A flip in the order of these loops results in a net additive feedback loop.
Databáze: Supplemental Index