Sufficient and necessary conditions for exponential stabilisation of distributed second-order bilinear systems with time-varying delay.
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| Title: | Sufficient and necessary conditions for exponential stabilisation of distributed second-order bilinear systems with time-varying delay. |
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| Authors: | Tsouli, A.1 (AUTHOR), Ghilli, O.1 (AUTHOR), Ouarit, M.2 (AUTHOR) ghilli.otmane1993@gmail.com |
| Source: | Journal of Control & Decision. Jul2026, Vol. 13 Issue 4, p1196-1208. 13p. |
| Subjects: | Exponential stability, Distributed parameter systems, Time delay systems, Feedback control systems, Hilbert space, Controllability in systems engineering |
| Abstract: | In this paper, we deal with the problem of exponential stabilisation for a class of distributed second-order bilinear systems. The systems under consideration come with a time-varying delay and are evolving in a Hilbert space. A new stabilising feedback law is proposed. Existence and uniqueness of the mild solution for the controlled system are proved. Moreover, under a new controllability condition which is both sufficient and necessary, we establish exponential stabilisation results and provide an explicit decay rate estimate. Some illustrating applications are displayed. [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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| Abstract: | In this paper, we deal with the problem of exponential stabilisation for a class of distributed second-order bilinear systems. The systems under consideration come with a time-varying delay and are evolving in a Hilbert space. A new stabilising feedback law is proposed. Existence and uniqueness of the mild solution for the controlled system are proved. Moreover, under a new controllability condition which is both sufficient and necessary, we establish exponential stabilisation results and provide an explicit decay rate estimate. Some illustrating applications are displayed. [ABSTRACT FROM AUTHOR] |
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| ISSN: | 23307706 |
| DOI: | 10.1080/23307706.2025.2511685 |
