Open Access
| Issue |
ESAIM: COCV
Volume 30, 2024
|
|
|---|---|---|
| Article Number | 82 | |
| Number of page(s) | 13 | |
| DOI | https://doi.org/10.1051/cocv/2024069 | |
| Published online | 25 October 2024 | |
- G. Bastin and J.-M. Coron, Stability and boundary stabilization of 1-D hyperbolic systems. Progress in Nonlinear Differential Equations and their Applications, Vol. 88. Birklmuser/Springer, Cham (2016). [CrossRef] [Google Scholar]
- L. Hu and G. Olive, Equivalent one-dimensional first-order linear hyperbolic systems and range of the minimal null control time with respect to the internal coupling matrix. J. Differ. Eq. 336 (2022) 654–707. [CrossRef] [Google Scholar]
- M. Cirina, Boundary controllability of nonlinear hyperbolic systems. SIAM J. Control 7 (1969) 198–212. [CrossRef] [MathSciNet] [Google Scholar]
- D.L. Russell, Controllability and stabilizability theory for linear partial differential equations: recent progress and open questions. SIAM Rev. 20 (1978) 639–739. [Google Scholar]
- N. Weck, A remark on controllability for symmetric hyperbolic systems in one space dimension. SIAM J. Control Optim. 20 (1982) 1–8. [Google Scholar]
- L. Hu, Sharp time estimates for exact boundary controllability of quasilinear hyperbolic systems. SIAM J. Control Optim. 53 (2015) 3383–3410. [Google Scholar]
- T. Li, Controllability and observability for quasilinear hyperbolic systems. AIMS Series on Applied Mathematics, Vol. 3. American Institute of Mathematical Sciences (AIMS), Springfield, MO; Higher Education Press, Beijing (2010). [Google Scholar]
- T. Li and B.-P. Rao, Exact boundary controllability for quasi-linear hyperbolic systems. SIAM J. Control Optim. 41 (2003) 1748–1755. [CrossRef] [MathSciNet] [Google Scholar]
- J.-M. Coron and H.-M. Nguyen, Optimal time for the controllability of linear hyperbolic systems in one-dimensional space. SIAM J. Control Optim. 57 (2019) 1127–1156. [Google Scholar]
- J.-M. Coron and H.-M. Nguyen, On the optimal controllability time for linear hyperbolic systems with time- dependent coefficients. Preprint: https://arxiv.org/abs/2103.02653 (2021). [Google Scholar]
- J.-M. Coron and H.-M. Nguyen, Null-controllability of linear hyperbolic systems in one dimensional space. Syst. Control Lett. 148 (2021) 104851. [Google Scholar]
- L. Hu and G. Olive, Minimal time for the exact controllability of one-dimensional first-order linear hyperbolic systems by one-sided boundary controls. J. Math. Pures Appl. 148 (2021) 24–74. [CrossRef] [MathSciNet] [Google Scholar]
- L. Hu and G. Olive, Null controllability and finite-time stabilization in minimal time of one-dimensional first-order 2 × 2 linear hyperbolic systems. ESAIM Control Optim. Calc. Var. 27 (2021) 96. [CrossRef] [EDP Sciences] [Google Scholar]
- L. Hu and G. Olive, Minimal null control time of some 1D hyperbolic balance laws with constant coefficients and properties of related kernel equations. Preprint: https://hal.science/hal-04318642 (2023). [Google Scholar]
- K. Zhuang, T. Li and B. Rao, Exact controllability for first order quasilinear hyperbolic systems with internal controls. Discrete Contin. Dyn. Syst. 36 (2016) 1105–1124. [Google Scholar]
- F. Alabau-Boussouira, J.-M. Coron and G. Olive, Internal controllability of first order quasi-linear hyperbolic systems with a reduced number of controls. SIAM J. Control Optim. 55 (2017) 300–323. [CrossRef] [MathSciNet] [Google Scholar]
- T. Li, X. Lu and P. Qu, Exact internal controllability and exact internal synchronization for a kind of first order hyperbolic system. ESAIM Control Optim,. Calc. Var. 30 (2024) 24. [CrossRef] [EDP Sciences] [Google Scholar]
- F. Boyer and G. Olive, Approximate controllability conditions for some linear 1D parabolic systems with space- dependent coefficients. Math. Control Relat. Fields 4 (2014) 263–287. [CrossRef] [MathSciNet] [Google Scholar]
- F. Ammar-Khodja, A. Benabdallah, M. Gonzalez-Burgos and L. de Teresa, Recent results on the controllability of linear coupled parabolic problems: a survey. Math. Control Relat. Fields 1 (2011) 267–306. [CrossRef] [MathSciNet] [Google Scholar]
- J.-M. Coron, Control and nonlinearity. Mathematical Surveys and Monographs, Vol. 136. American Mathematical Society, Providence, RI (2007). [Google Scholar]
- H. Zwart, Left-invertible semigroups on Hilbert spaces. J. Evol. Eq. 13 (2013) 335–342. [CrossRef] [Google Scholar]
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