Hz analysis of LTI systems via conversion to positive systems

研究成果: Chapter in Book/Report/Conference proceedingConference contribution

1 被引用数 (Scopus)

抄録

Motivated by recent drastic advances in the study of linear-time invariant (ETI) positive systems, we explore analysis techniques of general, not necessarily positive ETI systems using positive system theory. Even though a positive system is characterized by its peculiar property that its impulse response is nonnegative, we often deal with nonnegative impulse responses even in general ETI system analysis. A typical example is the computation of the H2 norm where we focus on squared impulse responses. To deal with such products of impulse responses in a systematic fashion, in this paper, we first establish a construction technique of an ETI system whose impulse response is given by the product of impulse responses of two different ETI systems. Then, as the main result, we reduce the H2 norm computation problem of a general ETI system into the L-induced norm computation problem (or L1 problem in short) of a positive system, by which we can derive a closed-form formula for the H norm computation.

本文言語英語
ホスト出版物のタイトル2017 56th Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2017
出版社Institute of Electrical and Electronics Engineers Inc.
ページ1216-1219
ページ数4
ISBN(電子版)9784907764579
DOI
出版ステータス出版済み - 11 10 2017
外部発表はい
イベント56th Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2017 - Kanazawa, 日本
継続期間: 9 19 20179 22 2017

出版物シリーズ

名前2017 56th Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2017
2017-November

その他

その他56th Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2017
Country日本
CityKanazawa
Period9/19/179/22/17

All Science Journal Classification (ASJC) codes

  • Computer Science Applications
  • Control and Optimization
  • Control and Systems Engineering
  • Instrumentation

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