Name
Title | ||
|---|---|---|
Stabilization of two coupled wave equations with joint anti-damping and non-collocated control |
Abstract | ||
|---|---|---|
In this paper, the non-collocated control problem of two connected wave equations with joint anti-damping is studied. The boundary dampings are introduced into the control at both ends of the boundary, and then the non-collocated observation is input into the right boundary to obtain the closed-loop system. The well-posedness of closed-loop system is proved by using the Riesz basis method. By using the Nyquist criterion, the admissible non-collocated feedback gain is concluded so that all eigenvalues of the closed-loop system are in the left-half complex plane, and the exponential stability of the closed-loop system is proved. The effectiveness of the proposed feedback control law is verified by numerical simulation. |
Year | DOI | Venue |
|---|---|---|
2022 | 10.1016/j.automatica.2021.109995 | Automatica |
Keywords | DocType | Volume |
Joint anti-stable string,Non-collocated control,Nyquist criterion,Riesz basis | Journal | 135 |
Issue | ISSN | Citations |
1 | 0005-1098 | 0 |
PageRank | References | Authors |
0.34 | 0 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yu-Long Zhang | 1 | 1 | 2.40 |
| Min Zhu | 2 | 10 | 4.37 |
| Donghai Li | 3 | 27 | 10.05 |
| Jun-Min Wang | 4 | 219 | 29.95 |