On nonlinear inner systems and connections with control theory

Mark A. Petersen, Arjan van der Schaft

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1 Citation (Scopus)

Abstract

This paper extends some results involving linear inner systems to the nonlinear case. In thsi regard, the arithmetic of nonlinear inner systems is developed further and some new connections with nonlinear spectral and all-pass factorization and control theory are discussed. In particular, explicit formulas for the (state space) realizations of nonlinear inner systems in terms of the components of extremal spectral factors is provided. Relationships between inner systems and process control, geometric control and H-infinity control are also discussed.
Original language Undefined Proceedings of the 15th IFAC World Congress Barcelona Elsevier 1656-1661 6 978-0-08-044295-2 Published - 2002 15th IFAC World Congress 2002 - Barcelona, SpainDuration: 21 Jul 2002 → 26 Jul 2002Conference number: 15http://folk.ntnu.no/skoge/prost/proceedings/ifac2002/home.htm

Publication series

Name Elsevier 15

Conference

Conference 15th IFAC World Congress 2002 Spain Barcelona 21/07/02 → 26/07/02 http://folk.ntnu.no/skoge/prost/proceedings/ifac2002/home.htm

Keywords

• METIS-211007
• Nonlinear inner systems
• EWI-16740
• $H_\infty$ control
• Process Control
• IR-69141
• Spectral factorization
• Geometric control