Stability analysis of neutral type time-delay positive systems

Yoshio Ebihara; Naoya Nishio; Tomomichi Hagiwara

doi:10.1007/978-3-319-54211-9_6

Stability analysis of neutral type time-delay positive systems

Yoshio Ebihara, Naoya Nishio, Tomomichi Hagiwara

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English
Title of host publication	Positive Systems - Theory and Applications, POSTA 2016
Editors	Alfredo Germani, Filippo Cacace, Roberto Setola, Lorenzo Farina
Publisher	Springer Verlag
Pages	67-79
Number of pages	13
ISBN (Print)	9783319542102
DOIs	https://doi.org/10.1007/978-3-319-54211-9_6
Publication status	Published - Jan 1 2017
Externally published	Yes
Event	5th International Symposium on Positive Systems, POSTA 2016 - Rome, Italy Duration: Sep 14 2016 → Sep 16 2016

Publication series

Name	Lecture Notes in Control and Information Sciences
Volume	471
ISSN (Print)	0170-8643

Conference

Conference	5th International Symposium on Positive Systems, POSTA 2016
Country	Italy
City	Rome
Period	9/14/16 → 9/16/16

All Science Journal Classification (ASJC) codes

Library and Information Sciences

Access to Document

10.1007/978-3-319-54211-9_6

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

Stability analysis of neutral type time-delay positive systems. / Ebihara, Yoshio; Nishio, Naoya; Hagiwara, Tomomichi.

Positive Systems - Theory and Applications, POSTA 2016. ed. / Alfredo Germani; Filippo Cacace; Roberto Setola; Lorenzo Farina. Springer Verlag, 2017. p. 67-79 (Lecture Notes in Control and Information Sciences; Vol. 471).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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. Lecture Notes in Control and Information Sciences, vol. 471, Springer Verlag, pp. 67-79, 5th International Symposium on Positive Systems, POSTA 2016, Rome, Italy, 9/14/16. https://doi.org/10.1007/978-3-319-54211-9_6

@inproceedings{2557dbfe55024b08b80c58d703197d80,

title = "Stability analysis of neutral type time-delay positive systems",

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.",

author = "Yoshio Ebihara and Naoya Nishio and Tomomichi Hagiwara",

year = "2017",

month = jan,

day = "1",

doi = "10.1007/978-3-319-54211-9_6",

language = "English",

isbn = "9783319542102",

series = "Lecture Notes in Control and Information Sciences",

publisher = "Springer Verlag",

pages = "67--79",

editor = "Alfredo Germani and Filippo Cacace and Roberto Setola and Lorenzo Farina",

booktitle = "Positive Systems - Theory and Applications, POSTA 2016",

address = "Germany",

note = "5th International Symposium on Positive Systems, POSTA 2016 ; Conference date: 14-09-2016 Through 16-09-2016",

}

TY - GEN

T1 - Stability analysis of neutral type time-delay positive systems

AU - Ebihara, Yoshio

AU - Nishio, Naoya

AU - Hagiwara, Tomomichi

PY - 2017/1/1

Y1 - 2017/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85017510470&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85017510470&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-54211-9_6

DO - 10.1007/978-3-319-54211-9_6

M3 - Conference contribution

AN - SCOPUS:85017510470

SN - 9783319542102

T3 - Lecture Notes in Control and Information Sciences

SP - 67

EP - 79

BT - Positive Systems - Theory and Applications, POSTA 2016

A2 - Germani, Alfredo

A2 - Cacace, Filippo

A2 - Setola, Roberto

A2 - Farina, Lorenzo

PB - Springer Verlag

T2 - 5th International Symposium on Positive Systems, POSTA 2016

Y2 - 14 September 2016 through 16 September 2016

ER -