Exact Null Controllability of KdV-Burgers Equation with Memory Effect Systems
This paper is concerned with exact null controllability analysis of nonlinear KdV-Burgers equation with memory. The proposed approach relies upon regression tool to prove controllability property of linearized KdV-Burgers equation via Carleman estimates. The control is distributed along with subdoma...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/531659 |
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| _version_ | 1832568382631706624 |
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| author | Rajagounder Ravi Kumar Kil To Chong Jong Ho Park |
| author_facet | Rajagounder Ravi Kumar Kil To Chong Jong Ho Park |
| author_sort | Rajagounder Ravi Kumar |
| collection | DOAJ |
| description | This paper is concerned with exact null controllability analysis of nonlinear KdV-Burgers equation with memory. The proposed approach relies upon regression tool to prove controllability property of linearized KdV-Burgers equation via Carleman
estimates. The control is distributed along with subdomain ω⊂Ω and the external
control acts on the key role of observability inequality with memory. This description
finally showed the exact null controllability guaranteeing the stability. |
| format | Article |
| id | doaj-art-b5b8cd15ff194824955b32a45d26ef7f |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-b5b8cd15ff194824955b32a45d26ef7f2025-02-03T00:59:10ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/531659531659Exact Null Controllability of KdV-Burgers Equation with Memory Effect SystemsRajagounder Ravi Kumar0Kil To Chong1Jong Ho Park2CASY, DEIS, University of Bologna, Viale Risorgimento 2, 40136 Bologna, ItalyAdvanced Electronics and Information Research Center, Department of Electronics and Information Technology, Chonbuk National University, Republic of KoreaDepartment of Electrical and Electronics Engineering, Seonam University, Republic of KoreaThis paper is concerned with exact null controllability analysis of nonlinear KdV-Burgers equation with memory. The proposed approach relies upon regression tool to prove controllability property of linearized KdV-Burgers equation via Carleman estimates. The control is distributed along with subdomain ω⊂Ω and the external control acts on the key role of observability inequality with memory. This description finally showed the exact null controllability guaranteeing the stability.http://dx.doi.org/10.1155/2012/531659 |
| spellingShingle | Rajagounder Ravi Kumar Kil To Chong Jong Ho Park Exact Null Controllability of KdV-Burgers Equation with Memory Effect Systems Abstract and Applied Analysis |
| title | Exact Null Controllability of KdV-Burgers Equation with Memory Effect Systems |
| title_full | Exact Null Controllability of KdV-Burgers Equation with Memory Effect Systems |
| title_fullStr | Exact Null Controllability of KdV-Burgers Equation with Memory Effect Systems |
| title_full_unstemmed | Exact Null Controllability of KdV-Burgers Equation with Memory Effect Systems |
| title_short | Exact Null Controllability of KdV-Burgers Equation with Memory Effect Systems |
| title_sort | exact null controllability of kdv burgers equation with memory effect systems |
| url | http://dx.doi.org/10.1155/2012/531659 |
| work_keys_str_mv | AT rajagounderravikumar exactnullcontrollabilityofkdvburgersequationwithmemoryeffectsystems AT kiltochong exactnullcontrollabilityofkdvburgersequationwithmemoryeffectsystems AT jonghopark exactnullcontrollabilityofkdvburgersequationwithmemoryeffectsystems |