Finite-Time Stability of Discrete Fractional Delay Systems: Gronwall Inequality and Stability Criterion
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Zeng, Sheng-Da | |
| dc.contributor.author | Wu, Guo-Cheng | |
| dc.date.accessioned | 2020-03-30T07:19:40Z | |
| dc.date.accessioned | 2025-09-18T12:05:21Z | |
| dc.date.available | 2020-03-30T07:19:40Z | |
| dc.date.available | 2025-09-18T12:05:21Z | |
| dc.date.issued | 2018 | |
| dc.description | Zeng, Shengda/0000-0003-1818-842X; Wu, Guo-Cheng/0000-0002-1946-6770; Isa Aliyu, Aliyu/0000-0002-9756-7374 | en_US |
| dc.description.abstract | This study investigates finite-time stability of Caputo delta fractional difference equations. A generalized Gronwall inequality is given on a finite time domain. A finite-time stability criterion is proposed for fractional differential equations. Then the idea is extended to the discrete fractional case. A linear fractional difference equation with constant delays is considered and finite-time stable conditions are provided. One example is numerically illustrated to support the theoretical result. (c) 2017 Elsevier B.V. All rights reserved. | en_US |
| dc.description.sponsorship | China Postdoctoral Science Foundation [2016M602632]; National Key Research and Development Program of China [2016 YFB 0800601]; National Natural Science Foundation of China [61472331]; Talents of Science and Technology Promote Plan, Chongqing Science and Technology Commission | en_US |
| dc.description.sponsorship | This work was financially supported by China Postdoctoral Science Foundation (Grant No. 2016M602632), the National Key Research and Development Program of China (Grant No. 2016 YFB 0800601), the National Natural Science Foundation of China (Grant No. 61472331) and the Talents of Science and Technology Promote Plan, Chongqing Science and Technology Commission. | en_US |
| dc.identifier.citation | Wu, Guo-Cheng; Baleanu, Dumitru; Zeng, Sheng-Da, "Finite-time stability of discrete fractional delay systems: Gronwall inequality and stability criterion", Communications In Nonlinear Science and Numerical Simulation, Vol. 57, pp. 299-308, (2018) | en_US |
| dc.identifier.doi | 10.1016/j.cnsns.2017.09.001 | |
| dc.identifier.issn | 1007-5704 | |
| dc.identifier.issn | 1878-7274 | |
| dc.identifier.scopus | 2-s2.0-85031123110 | |
| dc.identifier.uri | https://doi.org/10.1016/j.cnsns.2017.09.001 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10569 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.relation.ispartof | Communications in Nonlinear Science and Numerical Simulation | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Fractional Difference Equations | en_US |
| dc.subject | Finite-Time Stability | en_US |
| dc.subject | Time Scale | en_US |
| dc.subject | Discrete Time Control | en_US |
| dc.title | Finite-Time Stability of Discrete Fractional Delay Systems: Gronwall Inequality and Stability Criterion | en_US |
| dc.title | Finite-Time Stability of Discrete Fractional Delay Systems: Gronwall Inequality and Stability Criterion | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Zeng, Shengda/0000-0003-1818-842X | |
| gdc.author.id | Wu, Guo-Cheng/0000-0002-1946-6770 | |
| gdc.author.id | Isa Aliyu, Aliyu/0000-0002-9756-7374 | |
| gdc.author.scopusid | 23390775700 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.scopusid | 55982308000 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Zeng, Shengda/Abm-7231-2022 | |
| gdc.author.wosid | Wu, Guo-Cheng/T-9088-2017 | |
| gdc.author.wosid | Isa Aliyu, Aliyu/L-3765-2017 | |
| gdc.author.yokid | 56389 | |
| gdc.bip.impulseclass | C3 | |
| gdc.bip.influenceclass | C4 | |
| gdc.bip.popularityclass | C3 | |
| gdc.coar.access | metadata only access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.collaboration.industrial | false | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Wu, Guo-Cheng] Southwest Univ, Coll Elect & Informat Engn, Chongqing 400715, Peoples R China; [Wu, Guo-Cheng; Zeng, Sheng-Da] Neijiang Normal Univ, Coll Math & Informat Sci, Data Recovery Key Lab Sichuan Prov, Neijiang 641100, Peoples R China; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Bucharest, Romania | en_US |
| gdc.description.endpage | 308 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 299 | en_US |
| gdc.description.volume | 57 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W2756709718 | |
| gdc.identifier.wos | WOS:000415834200023 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
| gdc.oaire.diamondjournal | false | |
| gdc.oaire.impulse | 43.0 | |
| gdc.oaire.influence | 7.8854E-9 | |
| gdc.oaire.isgreen | false | |
| gdc.oaire.keywords | discrete time control | |
| gdc.oaire.keywords | fractional difference equations | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | Stability theory for difference equations | |
| gdc.oaire.keywords | Difference equations, scaling (\(q\)-differences) | |
| gdc.oaire.keywords | Finite-time stability | |
| gdc.oaire.keywords | finite-time stability | |
| gdc.oaire.keywords | time scale | |
| gdc.oaire.popularity | 4.5093476E-8 | |
| gdc.oaire.publicfunded | false | |
| gdc.oaire.sciencefields | 0202 electrical engineering, electronic engineering, information engineering | |
| gdc.oaire.sciencefields | 02 engineering and technology | |
| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.oaire.sciencefields | 01 natural sciences | |
| gdc.openalex.collaboration | International | |
| gdc.openalex.fwci | 6.45372168 | |
| gdc.openalex.normalizedpercentile | 0.97 | |
| gdc.openalex.toppercent | TOP 10% | |
| gdc.opencitations.count | 69 | |
| gdc.plumx.crossrefcites | 52 | |
| gdc.plumx.mendeley | 23 | |
| gdc.plumx.scopuscites | 95 | |
| gdc.publishedmonth | 4 | |
| gdc.scopus.citedcount | 95 | |
| gdc.virtual.author | Baleanu, Dumitru | |
| gdc.wos.citedcount | 89 | |
| relation.isAuthorOfPublication | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isAuthorOfPublication.latestForDiscovery | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isOrgUnitOfPublication | 26a93bcf-09b3-4631-937a-fe838199f6a5 | |
| relation.isOrgUnitOfPublication | 28fb8edb-0579-4584-a2d4-f5064116924a | |
| relation.isOrgUnitOfPublication | 0b9123e4-4136-493b-9ffd-be856af2cdb1 | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 26a93bcf-09b3-4631-937a-fe838199f6a5 |