Calculus of nonlinear interconnections with applications

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Citations (Scopus)

Abstract

This paper reports progress in the analysis of interconnections of nonlinear systems, employing the chronological formalism. A fundamental observation is the close analogy between feeding outputs of one system back as inputs to another system and the process of Lazard elimination which is at the root of Hall-Viennot bases and chronological products. Possible applications of the algebraic description of interconnections of systems include static and dynamic output feedback, and formal inversions of systems which are of interest for tracking problems. Our description in terms of iterated integral functionals is most readily applicable in the case of nilpotent systems, especially strictly triangular homogeneous systems.

Original languageEnglish (US)
Title of host publicationProceedings of the IEEE Conference on Decision and Control
Pages1661-1666
Number of pages6
Volume2
StatePublished - 2000
Event39th IEEE Confernce on Decision and Control - Sydney, NSW, Australia
Duration: Dec 12 2000Dec 15 2000

Other

Other39th IEEE Confernce on Decision and Control
CountryAustralia
CitySydney, NSW
Period12/12/0012/15/00

Fingerprint

Nonlinear systems
Feedback

ASJC Scopus subject areas

  • Chemical Health and Safety
  • Control and Systems Engineering
  • Safety, Risk, Reliability and Quality

Cite this

Kawski, M. (2000). Calculus of nonlinear interconnections with applications. In Proceedings of the IEEE Conference on Decision and Control (Vol. 2, pp. 1661-1666)

Calculus of nonlinear interconnections with applications. / Kawski, Matthias.

Proceedings of the IEEE Conference on Decision and Control. Vol. 2 2000. p. 1661-1666.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Kawski, M 2000, Calculus of nonlinear interconnections with applications. in Proceedings of the IEEE Conference on Decision and Control. vol. 2, pp. 1661-1666, 39th IEEE Confernce on Decision and Control, Sydney, NSW, Australia, 12/12/00.
Kawski M. Calculus of nonlinear interconnections with applications. In Proceedings of the IEEE Conference on Decision and Control. Vol. 2. 2000. p. 1661-1666
Kawski, Matthias. / Calculus of nonlinear interconnections with applications. Proceedings of the IEEE Conference on Decision and Control. Vol. 2 2000. pp. 1661-1666
@inproceedings{03be132066c645fb87c9472adfe7c053,
title = "Calculus of nonlinear interconnections with applications",
abstract = "This paper reports progress in the analysis of interconnections of nonlinear systems, employing the chronological formalism. A fundamental observation is the close analogy between feeding outputs of one system back as inputs to another system and the process of Lazard elimination which is at the root of Hall-Viennot bases and chronological products. Possible applications of the algebraic description of interconnections of systems include static and dynamic output feedback, and formal inversions of systems which are of interest for tracking problems. Our description in terms of iterated integral functionals is most readily applicable in the case of nilpotent systems, especially strictly triangular homogeneous systems.",
author = "Matthias Kawski",
year = "2000",
language = "English (US)",
volume = "2",
pages = "1661--1666",
booktitle = "Proceedings of the IEEE Conference on Decision and Control",

}

TY - GEN

T1 - Calculus of nonlinear interconnections with applications

AU - Kawski, Matthias

PY - 2000

Y1 - 2000

N2 - This paper reports progress in the analysis of interconnections of nonlinear systems, employing the chronological formalism. A fundamental observation is the close analogy between feeding outputs of one system back as inputs to another system and the process of Lazard elimination which is at the root of Hall-Viennot bases and chronological products. Possible applications of the algebraic description of interconnections of systems include static and dynamic output feedback, and formal inversions of systems which are of interest for tracking problems. Our description in terms of iterated integral functionals is most readily applicable in the case of nilpotent systems, especially strictly triangular homogeneous systems.

AB - This paper reports progress in the analysis of interconnections of nonlinear systems, employing the chronological formalism. A fundamental observation is the close analogy between feeding outputs of one system back as inputs to another system and the process of Lazard elimination which is at the root of Hall-Viennot bases and chronological products. Possible applications of the algebraic description of interconnections of systems include static and dynamic output feedback, and formal inversions of systems which are of interest for tracking problems. Our description in terms of iterated integral functionals is most readily applicable in the case of nilpotent systems, especially strictly triangular homogeneous systems.

UR - http://www.scopus.com/inward/record.url?scp=0034438745&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034438745&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0034438745

VL - 2

SP - 1661

EP - 1666

BT - Proceedings of the IEEE Conference on Decision and Control

ER -