Necessary and Sufficient Conditions on Negative Imaginariness for Interval SISO Transfer Functions and Their Interconnection

Mei Liu, James Lam, Hong Lin, Xingjian Jing

Research output: Journal article publicationJournal articleAcademic researchpeer-review

3 Citations (Scopus)


This article is concerned with the study of the negative imaginariness of interval transfer functions. Necessary and sufficient conditions for (strictly) negative imaginary interval transfer functions subject to parameter uncertainty are first derived based on Kharitonov's theorem. Then, certain properties of the interconnection system with negative imaginary interval transfer functions are analyzed. Finally, an example is provided to illustrate the main results of the article.

Original languageEnglish
Article number8919984
Pages (from-to)4362-4368
Number of pages7
JournalIEEE Transactions on Automatic Control
Issue number10
Publication statusPublished - Oct 2020


  • Interval systems
  • Kharitonov's theorem
  • negative imaginary systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering

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