Stability analysis of neutral type time-delay positive systems

Yoshio Ebihara, Naoya Nishio, Tomomichi Hagiwara

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

4 Citations (Scopus)

Abstract

This chapter is concerned with asymptotic stability analysis of neutral type time-delay positive systems (TDPSs). We focus on a neutral type TDPS represented by a feedback system constructed from a finite-dimensional LTI positive system and the pure delay, and give a necessary and sufficient condition for the stability. In the case where we deal with a retarded type TDPS, i.e., if the direct-feedthrough term of the finite-dimensional LTI positive system is zero, it is well known that the retarded type TDPS is stable if and only if its delay-free finite-dimensional counterpart is stable. In the case of neutral type TDPS, i.e., if the direct-feedthrough term is nonzero, however, we clarify that the neutral type TDPS is stable if and only if its delay-free finite-dimensional counterpart is stable and the direct-feedthrough term is Schur stable. Namely, we need additional condition on the direct-feedthrough term.

Original languageEnglish
Title of host publicationPositive Systems - Theory and Applications, POSTA 2016
EditorsAlfredo Germani, Filippo Cacace, Roberto Setola, Lorenzo Farina
PublisherSpringer Verlag
Pages67-79
Number of pages13
ISBN (Print)9783319542102
DOIs
Publication statusPublished - Jan 1 2017
Externally publishedYes
Event5th International Symposium on Positive Systems, POSTA 2016 - Rome, Italy
Duration: Sep 14 2016Sep 16 2016

Publication series

NameLecture Notes in Control and Information Sciences
Volume471
ISSN (Print)0170-8643

Conference

Conference5th International Symposium on Positive Systems, POSTA 2016
CountryItaly
City Rome
Period9/14/169/16/16

All Science Journal Classification (ASJC) codes

  • Library and Information Sciences

Fingerprint Dive into the research topics of 'Stability analysis of neutral type time-delay positive systems'. Together they form a unique fingerprint.

  • Cite this

    Ebihara, Y., Nishio, N., & Hagiwara, T. (2017). Stability analysis of neutral type time-delay positive systems. In A. Germani, F. Cacace, R. Setola, & L. Farina (Eds.), Positive Systems - Theory and Applications, POSTA 2016 (pp. 67-79). (Lecture Notes in Control and Information Sciences; Vol. 471). Springer Verlag. https://doi.org/10.1007/978-3-319-54211-9_6