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Nonlinear Negative Imaginary Systems with Switching

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Date

2023

Authors

Shi, Kanghong
Petersen, Ian R.
Vladimirov, Igor G.

Journal Title

Journal ISSN

Volume Title

Publisher

Elsevier B.V.

Access Statement

Research Projects

Organizational Units

Journal Issue

Abstract

In this paper, we extend nonlinear negative imaginary (NI) systems theory to switched systems. Switched nonlinear NI systems and switched nonlinear output strictly negative imaginary (OSNI) systems are defined. We show that the interconnection of two switched nonlinear NI systems is still switched nonlinear NI. The interconnection of a switched nonlinear NI system and a switched nonlinear OSNI system is asymptotically stable under some assumptions. This stability result is then illustrated using a numerical example.

Description

Keywords

nonlinear negative imaginary system, nonlinear system, robust control, storage function, switched system

Citation

URI

https://hdl.handle.net/1885/733812310

Collections

ANU Research Publications

Source

Type

Conference paper

Book Title

IFAC-PapersOnLine

Entity type

Publication

Access Statement

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DOI

10.1016/j.ifacol.2023.10.1331

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