Spectrum analysis of LTI continuous-time systems with constant delays: A literature overview of some recent results

Pekař, Libor; Gao, Qingbin

dc.title	Spectrum analysis of LTI continuous-time systems with constant delays: A literature overview of some recent results	en
dc.contributor.author	Pekař, Libor
dc.contributor.author	Gao, Qingbin
dc.relation.ispartof	IEEE Access
dc.identifier.issn	2169-3536 Scopus Sources, Sherpa/RoMEO, JCR
dc.date.issued	2018
utb.relation.volume	6
dc.citation.spage	35457
dc.citation.epage	35491
dc.type	review
dc.language.iso	en
dc.publisher	Institute of Electrical and Electronics Engineers Inc.
dc.identifier.doi	10.1109/ACCESS.2018.2851453
dc.relation.uri	https://ieeexplore.ieee.org/document/8401701/
dc.subject	delay systems	en
dc.subject	eigenvalues and eigenfunctions	en
dc.subject	literature review	en
dc.subject	stability	en
dc.description.abstract	In recent decades, increasingly intensive research attention has been given to dynamical systems containing delays and those affected by the after-effect phenomenon. Such research covers a wide range of human activities and the solutions of related engineering problems often require interdisciplinary cooperation. The knowledge of the spectrum of these so-called time-delay systems (TDSs) is very crucial for the analysis of their dynamical properties, especially stability, periodicity, and dumping effect. A great volume of mathematical methods and techniques to analyze the spectrum of the TDSs have been developed and further applied in the most recent times. Although a broad family of nonlinear, stochastic, sampled-data, time-variant or time-varying-delay systems has been considered, the study of the most fundamental continuous linear time-invariant (LTI) TDSs with fixed delays is still the dominant research direction with ever-increasing new results and novel applications. This paper is primarily aimed at a (systematic) literature overview of recent (mostly published between 2013 to 2017) advances regarding the spectrum analysis of the LTI-TDSs. Specifically, a total of 137 collected articles-which are most closely related to the research area-are eventually reviewed. There are two main objectives of this review paper: First, to provide the reader with a detailed literature survey on the selected recent results on the topic and Second, to suggest possible future research directions to be tackled by scientists and engineers in the field. © 2013 IEEE.	en
utb.faculty	Faculty of Applied Informatics
dc.identifier.uri	http://hdl.handle.net/10563/1008147
utb.identifier.obdid	43878715
utb.identifier.scopus	2-s2.0-85049303605
utb.identifier.wok	000439022000021
utb.source	j-scopus
dc.date.accessioned	2018-08-29T08:26:55Z
dc.date.available	2018-08-29T08:26:55Z
dc.description.sponsorship	MSMT-7778/2014, FEDER, European Regional Development Fund; LO1303, FEDER, European Regional Development Fund; CZ.1.05/2.1.00/19.0376, FEDER, European Regional Development Fund
dc.description.sponsorship	European Regional Development Fund through the Project CEBIA-Tech Instrumentation [CZ.1.05/2.1.00/19.0376]; National Sustainability Program Project [LO1303 (MSMT-7778/2014)]
dc.rights	Attribution 4.0 International
dc.rights.uri	https://creativecommons.org/licenses/by/4.0/
dc.rights.access	openAccess
utb.contributor.internalauthor	Pekař, Libor
utb.fulltext.affiliation	LIBOR PEKAŘ https://orcid.org/0000-0002-2401-5886 1 AND QINGBIN GAO https://orcid.org/0000-0001-8326-1844 2 1 Faculty of Applied Informatics, Tomas Bata University in Zlín, 76005 Zlín, Czech Republic 2 Department of Mechanical Engineering, The University of Alabama, Tuscaloosa, AL 35487, USA Corresponding author: Libor Pekař (pekar@utb.cz) LIBOR PEKAŘ was born in Zlín, Czech Republic, in 1979. He received the B.S. degree in automation and informatics, the M.S. degree in automation and control engineering in consumption industry, and the Ph.D. degree in technical cybernetics from Tomas Bata University in Zlín, in 2002, 2005, and 2013, respectively. From 2006 to 2013, he was a Junior Lecturer with the Faculty of Applied Informatics, Tomas Bata University in Zlín. From 2013 to 2018, he was a Senior Lecturer with Tomas Bata University in Zlín, where he has been an Associate Professor since 2018. He has authored two book chapters, over 40 journal articles, and over 70 conference papers. His research interests include analysis, modeling, identification, and control of time-delay systems, algebraic control methods, and autotuning and optimization techniques. He has been the Lead Guest Editor of journals Mathematical Problems in Engineering and Advances in Mechanical Engineering, and an Editor of the Mathematical Problems in Engineering since 2018. Dr. Pekař was a recipient of the Rectors’ Award for the best Ph.D. thesis in the Faculty of Applied Informatics, Tomas Bata University in Zlín, in 2013, and the Laureate of the ASR Seminary Instrumentation and Control in 2007 and 2009. QINGBIN GAO received the B.S. degree in mechanical engineering from the Harbin Institute of Technology, China, in 2011, and the Ph.D. degree in mechanical engineering from the University of Connecticut in 2015. He was an Assistant Professor with the Department of Mechanical and Aerospace Engineering, California State University, Long Beach, from 2015 to 2018. Since 2018, he has been an Assistant Professor with the Department of Mechanical Engineering, The University of Alabama. His main research focuses on the stability analysis and control synthesis of time-delay systems with applications to multi-agent systems, manufacturing, connected vehicles, human learning, and power systems and vibrations. He was a recipient of the Best Conference Paper Award of the 19th International Conference on Networking, Sensing, and Control (ICNSC) in 2017 and the 6th American Society of Mechanical Engineers (ASME) Dynamic Systems and Control Conference (DSCC) in 2013. He has served as a Session Chair for 2017 ASME DSCC, 2017 ICNSC, and 2016 IEEE American Control Conference (ACC). He has served as an Associate Editor for 2017 ACC, 2018 ACC, and 2017 ASME DSCC. He has also served as a Reviewer for over 100 papers from over 30 journals, including but not limited to Automatica, the IEEE TRANSACTIONS ON AUTOMATIC CONTROL, and Mechatronics. He is currently a Guest Editor of the IEEE ACCESS and Advances in Mechanical Engineering.
utb.fulltext.dates	Received May 10, 2018 accepted June 7, 2018 date of publication July 2, 2018 date of current version July 19, 2018.
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utb.fulltext.sponsorship	This work was supported in part by the European Regional Development Fund through the Project CEBIA-Tech Instrumentation under Grant CZ.1.05/2.1.00/19.0376 and in part by the National Sustainability Program Project under Grant LO1303 (MSMT-7778/2014).
utb.wos.affiliation	[Pekar, Libor] Tomas Bata Univ Zlin, Fac Appl Informat, Zlin 76005, Czech Republic; [Gao, Qingbin] Univ Alabama, Dept Mech Engn, Tuscaloosa, AL 35487 USA
utb.scopus.affiliation	Faculty of Applied Informatics, Tomas Bata University in Zlín, Zlín, Czech Republic; Department of Mechanical Engineering, University of Alabama, Tuscaloosa, AL, United States
utb.fulltext.projects	CZ.1.05/2.1.00/19.0376
utb.fulltext.projects	LO1303 (MSMT-7778/2014)