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Extending Negative Imaginary Systems Theory to Nonlinear Systems

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Date

2018

Authors

Ghallab, Ahmed G.
Mabrok, Mohamed A.
Petersen, Ian

Journal Title

Journal ISSN

Volume Title

Publisher

IEEE

Abstract

In this paper, we extend the negative imaginary systems framework to nonlinear systems using Lyapunov and dissipativity theories. This enables us to extend some existing results from linear negative imaginary systems theory to nonlinear systems. In particular, asymptotic stability of a positive feedback interconnection of nonlinear negative imaginary systems has been established under suitable assumptions.

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Citation

URI

http://hdl.handle.net/1885/201879

Collections

ANU Research Publications

Source

Proceedings of the 2018 IEEE Conference on Decision and Control

Type

Conference paper

Book Title

Entity type

Access Statement

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DOI

Restricted until

2037-12-31

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