A positivity-based approach to delay-dependent stability of systems with large time-varying delays

Alexander Domoshnitsky; Emilia Fridman

doi:10.1016/j.sysconle.2016.09.011

A positivity-based approach to delay-dependent stability of systems with large time-varying delays

Alexander Domoshnitsky
, Emilia Fridman

Department of Mathematics

نتاج البحث: نشر في مجلة › مقالة › مراجعة النظراء

35 اقتباسات (Scopus)

ملخص

In this paper we propose new explicit tests for positivity and exponential stability of systems with large time-varying delays. Our approach is based on nonoscillation of solutions of the corresponding diagonal scalar delay differential equations. Numerical examples illustrate the efficiency of the results.

اللغة الأصلية	الإنجليزيّة
الصفحات (من إلى)	139-148
عدد الصفحات	10
دورية	Systems and Control Letters
مستوى الصوت	97
المعرِّفات الرقمية للأشياء	https://doi.org/10.1016/j.sysconle.2016.09.011
حالة النشر	نُشِر - 1 نوفمبر 2016

الوصول إلى المستند

10.1016/j.sysconle.2016.09.011

الملفات والروابط الأخرى

Link to publication in Scopus

قم بذكر هذا

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title = "A positivity-based approach to delay-dependent stability of systems with large time-varying delays",

abstract = "In this paper we propose new explicit tests for positivity and exponential stability of systems with large time-varying delays. Our approach is based on nonoscillation of solutions of the corresponding diagonal scalar delay differential equations. Numerical examples illustrate the efficiency of the results.",

keywords = "Exponential stability, Positive systems, Time-delay systems",

author = "Alexander Domoshnitsky and Emilia Fridman",

note = "Publisher Copyright: {\textcopyright} 2016 Elsevier B.V.",

year = "2016",

month = nov,

day = "1",

doi = "10.1016/j.sysconle.2016.09.011",

language = "אנגלית",

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journal = "Systems and Control Letters",

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TY - JOUR

T1 - A positivity-based approach to delay-dependent stability of systems with large time-varying delays

AU - Domoshnitsky, Alexander

AU - Fridman, Emilia

PY - 2016/11/1

Y1 - 2016/11/1

N2 - In this paper we propose new explicit tests for positivity and exponential stability of systems with large time-varying delays. Our approach is based on nonoscillation of solutions of the corresponding diagonal scalar delay differential equations. Numerical examples illustrate the efficiency of the results.

AB - In this paper we propose new explicit tests for positivity and exponential stability of systems with large time-varying delays. Our approach is based on nonoscillation of solutions of the corresponding diagonal scalar delay differential equations. Numerical examples illustrate the efficiency of the results.

KW - Exponential stability

KW - Positive systems

KW - Time-delay systems

UR - https://www.scopus.com/pages/publications/84990996998

U2 - 10.1016/j.sysconle.2016.09.011

DO - 10.1016/j.sysconle.2016.09.011

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:84990996998

SN - 0167-6911

VL - 97

SP - 139

EP - 148

JO - Systems and Control Letters

JF - Systems and Control Letters

ER -

A positivity-based approach to delay-dependent stability of systems with large time-varying delays

ملخص

الوصول إلى المستند

الملفات والروابط الأخرى

بصمة

قم بذكر هذا