Hz analysis of LTI systems via conversion to positive systems

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

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.

Original languageEnglish
Title of host publication2017 56th Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2017
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1216-1219
Number of pages4
ISBN (Electronic)9784907764579
DOIs
Publication statusPublished - Nov 10 2017
Externally publishedYes
Event56th Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2017 - Kanazawa, Japan
Duration: Sep 19 2017Sep 22 2017

Publication series

Name2017 56th Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2017
Volume2017-November

Other

Other56th Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2017
CountryJapan
CityKanazawa
Period9/19/179/22/17

All Science Journal Classification (ASJC) codes

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

Fingerprint Dive into the research topics of 'Hz analysis of LTI systems via conversion to positive systems'. Together they form a unique fingerprint.

  • Cite this

    Ebihara, Y. (2017). Hz analysis of LTI systems via conversion to positive systems. In 2017 56th Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2017 (pp. 1216-1219). (2017 56th Annual Conference of the Society of Instrument and Control Engineers of Japan, SICE 2017; Vol. 2017-November). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/SICE.2017.8105544