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

מתמטיקה

פרסום מחקרי: פרסום בכתב עת › מאמר › ביקורת עמיתים

35 ציטוטים ‏(Scopus)

תקציר

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.

שפה מקורית	אנגלית
עמודים (מ-עד)	139-148
מספר עמודים	10
כתב עת	Systems and Control Letters
כרך	97
מזהי עצם דיגיטלי (DOIs)	https://doi.org/10.1016/j.sysconle.2016.09.011
סטטוס פרסום	פורסם - 1 נוב׳ 2016

גישה למסמך

10.1016/j.sysconle.2016.09.011

קבצים וקישורים אחרים

Link to publication in Scopus

פורמט ציטוט ביבליוגרפי

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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,

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

language = "אנגלית",

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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

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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

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