A new method for delay-independent stability of time-delayed systems

Ali Fuat Ergenc

doi:10.1007/978-3-642-25221-1_18

A new method for delay-independent stability of time-delayed systems

Ali Fuat Ergenc^*

^*Corresponding author for this work

Department of Control and Automation Engineering

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

1 Citation (Scopus)

Abstract

A new method is presented for determining delay-independent stability zones of the general LTI dynamics with multiple delays against parametric uncertainties. This method utilizes extended kronecker summation and unique properties of self-inversive polynomials. Self-inversive polynomials are special polynomials which exert useful tools for examination of the distribution of its zeros. A sufficient condition for delay-independent stability is presented. The main foci in this paper is a novel approach to the robustness of the time-delayed systems. A new sufficient condition for delay-independent stability is introduced. These new concepts are also demonstrated via some example case studies.

Original language	English
Title of host publication	Time Delay Systems
Subtitle of host publication	Methods, Applications and New Trends
Editors	Rifat Sipahi, Tomas Vyhlidal, Silviu-Iulian Niculescu, Pierdomenico Pepe
Pages	241-252
Number of pages	12
DOIs	https://doi.org/10.1007/978-3-642-25221-1_18
Publication status	Published - 2012

Publication series

Name	Lecture Notes in Control and Information Sciences
Volume	423
ISSN (Print)	0170-8643

Funding

Author would like to thank ITU Scientific Research Unit for the international link project fund.

Funders	Funder number
ITU Scientific Research Unit

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10.1007/978-3-642-25221-1_18

Cite this

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title = "A new method for delay-independent stability of time-delayed systems",

abstract = "A new method is presented for determining delay-independent stability zones of the general LTI dynamics with multiple delays against parametric uncertainties. This method utilizes extended kronecker summation and unique properties of self-inversive polynomials. Self-inversive polynomials are special polynomials which exert useful tools for examination of the distribution of its zeros. A sufficient condition for delay-independent stability is presented. The main foci in this paper is a novel approach to the robustness of the time-delayed systems. A new sufficient condition for delay-independent stability is introduced. These new concepts are also demonstrated via some example case studies.",

author = "Ergenc, {Ali Fuat}",

year = "2012",

doi = "10.1007/978-3-642-25221-1_18",

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A new method for delay-independent stability of time-delayed systems. / Ergenc, Ali Fuat.
Time Delay Systems: Methods, Applications and New Trends. ed. / Rifat Sipahi; Tomas Vyhlidal; Silviu-Iulian Niculescu; Pierdomenico Pepe. 2012. p. 241-252 (Lecture Notes in Control and Information Sciences; Vol. 423).

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

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N2 - A new method is presented for determining delay-independent stability zones of the general LTI dynamics with multiple delays against parametric uncertainties. This method utilizes extended kronecker summation and unique properties of self-inversive polynomials. Self-inversive polynomials are special polynomials which exert useful tools for examination of the distribution of its zeros. A sufficient condition for delay-independent stability is presented. The main foci in this paper is a novel approach to the robustness of the time-delayed systems. A new sufficient condition for delay-independent stability is introduced. These new concepts are also demonstrated via some example case studies.

AB - A new method is presented for determining delay-independent stability zones of the general LTI dynamics with multiple delays against parametric uncertainties. This method utilizes extended kronecker summation and unique properties of self-inversive polynomials. Self-inversive polynomials are special polynomials which exert useful tools for examination of the distribution of its zeros. A sufficient condition for delay-independent stability is presented. The main foci in this paper is a novel approach to the robustness of the time-delayed systems. A new sufficient condition for delay-independent stability is introduced. These new concepts are also demonstrated via some example case studies.

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DO - 10.1007/978-3-642-25221-1_18

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SN - 9783642252204

T3 - Lecture Notes in Control and Information Sciences

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A2 - Niculescu, Silviu-Iulian

A2 - Pepe, Pierdomenico

ER -

A new method for delay-independent stability of time-delayed systems

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