Delay-Dependent Stability, Integrability and Boundedeness Criteria for Delay Differential Systems
This paper deals with non-perturbed and perturbed systems of nonlinear differential systems of first order with multiple time-varying delays. Here, for the considered systems, easily verifiable and applicable uniformly asymptotic stability, integrability, and boundedness criteria are obtained via de...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-06-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/10/3/138 |
| _version_ | 1797528428852805632 |
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| author | Osman Tunç Cemil Tunç Yuanheng Wang |
| author_facet | Osman Tunç Cemil Tunç Yuanheng Wang |
| author_sort | Osman Tunç |
| collection | DOAJ |
| description | This paper deals with non-perturbed and perturbed systems of nonlinear differential systems of first order with multiple time-varying delays. Here, for the considered systems, easily verifiable and applicable uniformly asymptotic stability, integrability, and boundedness criteria are obtained via defining an appropriate Lyapunov–Krasovskiĭ functional (LKF) and using the Lyapunov–Krasovskiĭ method (LKM). Comparisons with a former result that can be found in the literature illustrate the novelty of the stability theorem and show new contributions to the qualitative theory of solutions. A discussion of two illustrative examples and the obtained results are presented. |
| first_indexed | 2024-03-10T09:59:09Z |
| format | Article |
| id | doaj.art-e730a713d712466ba6cdf6e2db81ecbc |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-10T09:59:09Z |
| publishDate | 2021-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-e730a713d712466ba6cdf6e2db81ecbc2023-11-22T02:09:21ZengMDPI AGAxioms2075-16802021-06-0110313810.3390/axioms10030138Delay-Dependent Stability, Integrability and Boundedeness Criteria for Delay Differential SystemsOsman Tunç0Cemil Tunç1Yuanheng Wang2Department of Computer Programing, Baskale Vocational School, Van Yuzuncu Yil University, Van 65080, TurkeyDepartment of Mathematics, Faculty of Sciences, Van Yuzuncu Yil University, Van 65080, TurkeyDepartment of Mathematics, Zhejiang Normal University, Jinhua 321004, ChinaThis paper deals with non-perturbed and perturbed systems of nonlinear differential systems of first order with multiple time-varying delays. Here, for the considered systems, easily verifiable and applicable uniformly asymptotic stability, integrability, and boundedness criteria are obtained via defining an appropriate Lyapunov–Krasovskiĭ functional (LKF) and using the Lyapunov–Krasovskiĭ method (LKM). Comparisons with a former result that can be found in the literature illustrate the novelty of the stability theorem and show new contributions to the qualitative theory of solutions. A discussion of two illustrative examples and the obtained results are presented.https://www.mdpi.com/2075-1680/10/3/138system of DDEsuniformly asymptotically stabilityintegrabilityboundedness at infinityLyapunov–Krasovskiĭ functionalmultiple time-varying delay |
| spellingShingle | Osman Tunç Cemil Tunç Yuanheng Wang Delay-Dependent Stability, Integrability and Boundedeness Criteria for Delay Differential Systems Axioms system of DDEs uniformly asymptotically stability integrability boundedness at infinity Lyapunov–Krasovskiĭ functional multiple time-varying delay |
| title | Delay-Dependent Stability, Integrability and Boundedeness Criteria for Delay Differential Systems |
| title_full | Delay-Dependent Stability, Integrability and Boundedeness Criteria for Delay Differential Systems |
| title_fullStr | Delay-Dependent Stability, Integrability and Boundedeness Criteria for Delay Differential Systems |
| title_full_unstemmed | Delay-Dependent Stability, Integrability and Boundedeness Criteria for Delay Differential Systems |
| title_short | Delay-Dependent Stability, Integrability and Boundedeness Criteria for Delay Differential Systems |
| title_sort | delay dependent stability integrability and boundedeness criteria for delay differential systems |
| topic | system of DDEs uniformly asymptotically stability integrability boundedness at infinity Lyapunov–Krasovskiĭ functional multiple time-varying delay |
| url | https://www.mdpi.com/2075-1680/10/3/138 |
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