Stability results for the KdV equation with time-varying delay
In this paper, we consider the Korteweg–de Vries equation with time-dependent delay on the boundary or internal feedbacks. Under some assumptions on the time-dependent delay, on the weights of the feedbacks and on the length of the spatial domain, we prove the exponential stability results, using ap...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier B.V.
2023
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| Subjects: | |
| Online Access: | View Fulltext in Publisher View in Scopus |
| LEADER | 01697nam a2200349Ia 4500 | ||
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| 001 | 10.1016-j.sysconle.2023.105547 | ||
| 008 | 230529s2023 CNT 000 0 und d | ||
| 020 | |a 01676911 (ISSN) | ||
| 245 | 1 | 0 | |a Stability results for the KdV equation with time-varying delay |
| 260 | 0 | |b Elsevier B.V. |c 2023 | |
| 856 | |z View Fulltext in Publisher |u https://doi.org/10.1016/j.sysconle.2023.105547 | ||
| 856 | |z View in Scopus |u https://www.scopus.com/inward/record.uri?eid=2-s2.0-85159186686&doi=10.1016%2fj.sysconle.2023.105547&partnerID=40&md5=19058a631e5d3806eeb5fa2fcc8efea7 | ||
| 520 | 3 | |a In this paper, we consider the Korteweg–de Vries equation with time-dependent delay on the boundary or internal feedbacks. Under some assumptions on the time-dependent delay, on the weights of the feedbacks and on the length of the spatial domain, we prove the exponential stability results, using appropriate Lyapunov functionals. We finish by some numerical simulations that illustrate the stability results and the influence of the delay on the decay rate. © 2023 Elsevier B.V. | |
| 650 | 0 | 4 | |a Boundary feedback |
| 650 | 0 | 4 | |a Decay (organic) |
| 650 | 0 | 4 | |a Internal feedback |
| 650 | 0 | 4 | |a Kdv equation |
| 650 | 0 | 4 | |a KdV equation |
| 650 | 0 | 4 | |a Korteweg-de Vries equation |
| 650 | 0 | 4 | |a Korteweg-de Vries-equation |
| 650 | 0 | 4 | |a Lyapunov functionals |
| 650 | 0 | 4 | |a Spatial domains |
| 650 | 0 | 4 | |a Stability |
| 650 | 0 | 4 | |a Stability results |
| 650 | 0 | 4 | |a Time delay |
| 650 | 0 | 4 | |a Time dependent |
| 650 | 0 | 4 | |a Time-depending delay |
| 650 | 0 | 4 | |a Time-varying delay |
| 700 | 1 | 0 | |a Parada, H. |e author |
| 700 | 1 | 0 | |a Timimoun, C. |e author |
| 700 | 1 | 0 | |a Valein, J. |e author |
| 773 | |t Systems and Control Letters | ||