Work

Dendriform-tree setting for fully non-commutative Fliess operators

Year: 2014

Type: conference-paper

Abstract: This paper provides a dendriform-tree setting for Fliess operators with matrix-valued inputs. This class of analytic nonlinear input-output systems is convenient, for example, in quantum control. In particular, a description of such Fliess operators is provided using planar binary trees. Sufficient conditions for convergence of the defining series are also given.

Source: Proceedings of the IEEE Conference on Decision & Control, including the Symposium on Adaptive Processes

DOI: 10.1109/cdc.2014.7040140

Authors: Luis A. Duffaut Espinosa, W. Steven Gray, Kurusch Ebrahimi-Fard

Institutions: George Mason University, Consejo Superior de Investigaciones Científicas, Institute of Mathematical Sciences, Old Dominion University

Language: English

Topic: Advanced Topics in Algebra

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2052544963

FWCI: 0.58

Cites: 15

Cited by: 3

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