Peng, Yu Chen; Wu, Liang Chun; Shiue, Ming-Cheng Finite time synchronization of the continuous/discrete data assimilation algorithms for Lorenz 63 system based on the back and forth nudging techniques. (English) Zbl 07786762 Results Appl. Math. 20, Article ID 100407, 26 p. (2023). MSC: 65L05 86-XX PDFBibTeX XMLCite \textit{Y. C. Peng} et al., Results Appl. Math. 20, Article ID 100407, 26 p. (2023; Zbl 07786762) Full Text: DOI
Wang, Ruijing; Xie, Weisong Reconstructing the initial state of the linear system and estimating its error in discretization. (English) Zbl 1522.93046 Taiwanese J. Math. 27, No. 3, 461-485 (2023). Reviewer: Anatoly Martynyuk (Kyïv) MSC: 93B07 93B53 93C83 PDFBibTeX XMLCite \textit{R. Wang} and \textit{W. Xie}, Taiwanese J. Math. 27, No. 3, 461--485 (2023; Zbl 1522.93046) Full Text: DOI
Zheng, Fu; Zhou, Hao State reconstruction of the wave equation with general viscosity and non-collocated observation and control. (English) Zbl 1467.93155 J. Math. Anal. Appl. 502, No. 1, Article ID 125257, 17 p. (2021). Reviewer: Vladimir Răsvan (Craiova) MSC: 93C20 35L05 93D23 65M20 65N40 PDFBibTeX XMLCite \textit{F. Zheng} and \textit{H. Zhou}, J. Math. Anal. Appl. 502, No. 1, Article ID 125257, 17 p. (2021; Zbl 1467.93155) Full Text: DOI
Brivadis, Lucas; Andrieu, Vincent; Serres, Ulysse; Gauthier, Jean-Paul Luenberger observers for infinite-dimensional systems, back and forth nudging, and application to a crystallization process. (English) Zbl 1459.93056 SIAM J. Control Optim. 59, No. 2, 857-886 (2021). MSC: 93B53 93C35 93B07 93C05 PDFBibTeX XMLCite \textit{L. Brivadis} et al., SIAM J. Control Optim. 59, No. 2, 857--886 (2021; Zbl 1459.93056) Full Text: DOI arXiv
Micu, Sorin; Rovenţa, Ionel; Temereancă, Laurenţiu Emanuel Approximation of the controls for the wave equation with a potential. (English) Zbl 1437.65163 Numer. Math. 144, No. 4, 835-887 (2020). MSC: 65N06 93B05 93C20 35L05 58J45 PDFBibTeX XMLCite \textit{S. Micu} et al., Numer. Math. 144, No. 4, 835--887 (2020; Zbl 1437.65163) Full Text: DOI
Aalto, Atte Iterative observer-based state and parameter estimation for linear systems. (English) Zbl 1396.93114 ESAIM, Control Optim. Calc. Var. 24, No. 1, 265-288 (2018). MSC: 93E10 93E12 93B07 35R30 93C05 93B52 PDFBibTeX XMLCite \textit{A. Aalto}, ESAIM, Control Optim. Calc. Var. 24, No. 1, 265--288 (2018; Zbl 1396.93114) Full Text: DOI arXiv
Chervova, Olga; Oksanen, Lauri Time reversal method with stabilizing boundary conditions for photoacoustic tomography. (English) Zbl 1362.35329 Inverse Probl. 32, No. 12, Article ID 125004, 16 p. (2016). MSC: 35R30 35L05 92C55 PDFBibTeX XMLCite \textit{O. Chervova} and \textit{L. Oksanen}, Inverse Probl. 32, No. 12, Article ID 125004, 16 p. (2016; Zbl 1362.35329) Full Text: DOI arXiv
Aalto, Atte Output error minimizing back and forth nudging method for initial state recovery. (English) Zbl 1344.93020 Syst. Control Lett. 94, 111-117 (2016). MSC: 93B07 93C05 93C20 49N45 PDFBibTeX XMLCite \textit{A. Aalto}, Syst. Control Lett. 94, 111--117 (2016; Zbl 1344.93020) Full Text: DOI arXiv
Xu, Gen Qi State reconstruction of a distributed parameter system with exact observability. (English) Zbl 1305.93042 J. Math. Anal. Appl. 409, No. 1, 168-179 (2014). MSC: 93B07 34H05 93B30 93B28 PDFBibTeX XMLCite \textit{G. Q. Xu}, J. Math. Anal. Appl. 409, No. 1, 168--179 (2014; Zbl 1305.93042) Full Text: DOI
Haine, Ghislain Recovering the observable part of the initial data of an infinite-dimensional linear system with skew-adjoint generator. (English) Zbl 1294.93047 Math. Control Signals Syst. 26, No. 3, 435-462 (2014). MSC: 93C25 93B07 93B05 93B52 PDFBibTeX XMLCite \textit{G. Haine}, Math. Control Signals Syst. 26, No. 3, 435--462 (2014; Zbl 1294.93047) Full Text: DOI Link
García, Galina C.; Takahashi, Takéo Numerical observers with vanishing viscosity for the 1d wave equation. (English) Zbl 1305.65204 Adv. Comput. Math. 40, No. 4, 711-745 (2014). Reviewer: Vit Dolejsi (Praha) MSC: 65M32 35R30 35L05 65M06 93C20 93B30 PDFBibTeX XMLCite \textit{G. C. García} and \textit{T. Takahashi}, Adv. Comput. Math. 40, No. 4, 711--745 (2014; Zbl 1305.65204) Full Text: DOI Link
Laurent, Camille Internal control of the Schrödinger equation. (English) Zbl 1281.93022 Math. Control Relat. Fields 4, No. 2, 161-186 (2014). MSC: 93B05 35Q41 35Q55 PDFBibTeX XMLCite \textit{C. Laurent}, Math. Control Relat. Fields 4, No. 2, 161--186 (2014; Zbl 1281.93022) Full Text: DOI arXiv
Avdonin, S. A.; Mikhaylov, V. S. Inverse source problem for the 1D Schrödinger equation. (English. Russian original) Zbl 1254.35239 J. Math. Sci., New York 185, No. 4, 513-516 (2012); translation from Zap. Nauchn. Semin. POMI 393, 5-11 (2011). MSC: 35R30 35Q41 PDFBibTeX XMLCite \textit{S. A. Avdonin} and \textit{V. S. Mikhaylov}, J. Math. Sci., New York 185, No. 4, 513--516 (2012; Zbl 1254.35239); translation from Zap. Nauchn. Semin. POMI 393, 5--11 (2011) Full Text: DOI
Haine, Ghislain; Ramdani, Karim Reconstructing initial data using observers: Error analysis of the semi-discrete and fully discrete approximations. (English) Zbl 1235.65082 Numer. Math. 120, No. 2, 307-343 (2012). Reviewer: Pavol Chocholatý (Bratislava) MSC: 65L09 35Q93 35L05 35J10 65M22 PDFBibTeX XMLCite \textit{G. Haine} and \textit{K. Ramdani}, Numer. Math. 120, No. 2, 307--343 (2012; Zbl 1235.65082) Full Text: DOI arXiv
Ramdani, Karim; Tucsnak, Marius; Weiss, George Recovering the initial state of an infinite-dimensional system using observers. (English) Zbl 1204.93023 Automatica 46, No. 10, 1616-1625 (2010). MSC: 93B07 93C25 35L05 PDFBibTeX XMLCite \textit{K. Ramdani} et al., Automatica 46, No. 10, 1616--1625 (2010; Zbl 1204.93023) Full Text: DOI