Asymptotic stability of nonlinear perturbed neutral linear fractional system with distributed delay
In the present paper we study the stability properties of nonlinear perturbed neutral fractional autonomous linear differential systems with distributed delay. It is shown that if the zero solution of the linear part of the nonlinear perturbed system is globally asymptotically stable, then the zero...
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| creator | Konstantinov, M. Madamlieva, E. Petkova, M. Cholakov, S. |
| description | In the present paper we study the stability properties of nonlinear perturbed neutral fractional autonomous linear differential systems with distributed delay. It is shown that if the zero solution of the linear part of the nonlinear perturbed system is globally asymptotically stable, then the zero solution of the perturbed nonlinear system is globally asymptotically stable too. The results are based on a formula for the integral presentation of the general solution of a linear autonomous neutral system with distributed delay which was proved by the authors in a previous work. |
| doi_str_mv | 10.1063/5.0041726 |
| format | Conference Proceeding |
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It is shown that if the zero solution of the linear part of the nonlinear perturbed system is globally asymptotically stable, then the zero solution of the perturbed nonlinear system is globally asymptotically stable too. The results are based on a formula for the integral presentation of the general solution of a linear autonomous neutral system with distributed delay which was proved by the authors in a previous work.</description><identifier>ISSN: 0094-243X</identifier><identifier>EISSN: 1551-7616</identifier><identifier>DOI: 10.1063/5.0041726</identifier><identifier>CODEN: APCPCS</identifier><language>eng</language><publisher>Melville: American Institute of Physics</publisher><subject>Asymptotic properties ; Delay ; Nonlinear systems ; Stability</subject><ispartof>AIP conference proceedings, 2021, Vol.2333 (1)</ispartof><rights>Author(s)</rights><rights>2021 Author(s). 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It is shown that if the zero solution of the linear part of the nonlinear perturbed system is globally asymptotically stable, then the zero solution of the perturbed nonlinear system is globally asymptotically stable too. The results are based on a formula for the integral presentation of the general solution of a linear autonomous neutral system with distributed delay which was proved by the authors in a previous work.</description><subject>Asymptotic properties</subject><subject>Delay</subject><subject>Nonlinear systems</subject><subject>Stability</subject><issn>0094-243X</issn><issn>1551-7616</issn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2021</creationdate><recordtype>conference_proceeding</recordtype><recordid>eNp9kEtLAzEUhYMoWKsL_0HAnTA1j5lksixFq1Bwo-Au3MkDU6YzY5JR5t_b0oI7VxfO_c7hcBC6pWRBieAP1YKQkkomztCMVhUtpKDiHM0IUWXBSv5xia5S2hLClJT1DJllmnZD7nMwOGVoQhvyhHuPu75rQ-cg4sHFPMbGWdy5MUdo8enhI5gc-m6vpCllt8M_IX9iG1KOoRnz3mFdC9M1uvDQJndzunP0_vT4tnouNq_rl9VyUwysrnPBrJTOmRJUxZXzVHAAAo0AZhomneVGcZCNr2rjjKwo1ILW3lsvSqUkED5Hd8fcIfZfo0tZb_sx7uslzUpVSyIpO1D3RyqZkOHQXw8x7CBOmhJ9GFFX-jTif_B3H_9APVjPfwEaSXWc</recordid><startdate>20210308</startdate><enddate>20210308</enddate><creator>Konstantinov, M.</creator><creator>Madamlieva, E.</creator><creator>Petkova, M.</creator><creator>Cholakov, S.</creator><general>American Institute of Physics</general><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>20210308</creationdate><title>Asymptotic stability of nonlinear perturbed neutral linear fractional system with distributed delay</title><author>Konstantinov, M. ; Madamlieva, E. ; Petkova, M. ; Cholakov, S.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-p288t-2d77eec4a9539ef163aa0ab6a2cb27ed3c93a7bf58cec751a8618ffdf64997a03</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Asymptotic properties</topic><topic>Delay</topic><topic>Nonlinear systems</topic><topic>Stability</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Konstantinov, M.</creatorcontrib><creatorcontrib>Madamlieva, E.</creatorcontrib><creatorcontrib>Petkova, M.</creatorcontrib><creatorcontrib>Cholakov, S.</creatorcontrib><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Konstantinov, M.</au><au>Madamlieva, E.</au><au>Petkova, M.</au><au>Cholakov, S.</au><au>Venkov, George</au><au>Pasheva, Vesela</au><au>Popivanov, Nedyu</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Asymptotic stability of nonlinear perturbed neutral linear fractional system with distributed delay</atitle><btitle>AIP conference proceedings</btitle><date>2021-03-08</date><risdate>2021</risdate><volume>2333</volume><issue>1</issue><issn>0094-243X</issn><eissn>1551-7616</eissn><coden>APCPCS</coden><abstract>In the present paper we study the stability properties of nonlinear perturbed neutral fractional autonomous linear differential systems with distributed delay. It is shown that if the zero solution of the linear part of the nonlinear perturbed system is globally asymptotically stable, then the zero solution of the perturbed nonlinear system is globally asymptotically stable too. The results are based on a formula for the integral presentation of the general solution of a linear autonomous neutral system with distributed delay which was proved by the authors in a previous work.</abstract><cop>Melville</cop><pub>American Institute of Physics</pub><doi>10.1063/5.0041726</doi><tpages>12</tpages><oa>free_for_read</oa></addata></record> |
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| ispartof | AIP conference proceedings, 2021, Vol.2333 (1) |
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| language | eng |
| recordid | cdi_scitation_primary_10_1063_5_0041726 |
| source | AIP Journals (American Institute of Physics) |
| subjects | Asymptotic properties Delay Nonlinear systems Stability |
| title | Asymptotic stability of nonlinear perturbed neutral linear fractional system with distributed delay |
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