Pokkakkillath, Sareena; Giesl, Peter Construction of contraction metrics for discrete-time dynamical systems using meshfree collocation. (English) Zbl 07807501 Discrete Contin. Dyn. Syst., Ser. B 29, No. 4, 2043-2071 (2024). MSC: 65Q10 65D12 39A30 PDFBibTeX XMLCite \textit{S. Pokkakkillath} and \textit{P. Giesl}, Discrete Contin. Dyn. Syst., Ser. B 29, No. 4, 2043--2071 (2024; Zbl 07807501) Full Text: DOI
Giesl, Peter; Hafstein, Sigurdur; Haraldsdottir, Magnea; Thorsteinsson, David; Kawan, Christoph Subgradient algorithm for computing contraction metrics for equilibria. (English) Zbl 1525.37087 J. Comput. Dyn. 10, No. 2, 281-303 (2023). MSC: 37M22 65P40 93D05 37C75 39A30 34D20 PDFBibTeX XMLCite \textit{P. Giesl} et al., J. Comput. Dyn. 10, No. 2, 281--303 (2023; Zbl 1525.37087) Full Text: DOI
Giesl, Peter; Hafstein, Sigurdur System specific triangulations for the construction of CPA Lyapunov functions. (English) Zbl 1478.93580 Discrete Contin. Dyn. Syst., Ser. B 26, No. 12, 6027-6046 (2021). MSC: 93D30 51M20 32B25 PDFBibTeX XMLCite \textit{P. Giesl} and \textit{S. Hafstein}, Discrete Contin. Dyn. Syst., Ser. B 26, No. 12, 6027--6046 (2021; Zbl 1478.93580) Full Text: DOI
Giesl, Peter; Hafstein, Sigurdur; Mehrabinezhad, Iman Computation and verification of contraction metrics for exponentially stable equilibria. (English) Zbl 1458.65154 J. Comput. Appl. Math. 390, Article ID 113332, 22 p. (2021). MSC: 65N35 65N15 65D12 37B25 34D20 PDFBibTeX XMLCite \textit{P. Giesl} et al., J. Comput. Appl. Math. 390, Article ID 113332, 22 p. (2021; Zbl 1458.65154) Full Text: DOI arXiv
Giesl, Peter; Osborne, Conor; Hafstein, Sigurdur Automatic determination of connected sublevel sets of CPA Lyapunov functions. (English) Zbl 1441.37035 SIAM J. Appl. Dyn. Syst. 19, No. 2, 1029-1056 (2020). MSC: 37C75 37M21 34D20 93D05 PDFBibTeX XMLCite \textit{P. Giesl} et al., SIAM J. Appl. Dyn. Syst. 19, No. 2, 1029--1056 (2020; Zbl 1441.37035) Full Text: DOI
Giesl, Peter; Wendland, Holger Kernel-based discretization for solving matrix-valued PDEs. (English) Zbl 1426.65189 SIAM J. Numer. Anal. 56, No. 6, 3386-3406 (2018). MSC: 65N35 65N15 37B25 37M99 PDFBibTeX XMLCite \textit{P. Giesl} and \textit{H. Wendland}, SIAM J. Numer. Anal. 56, No. 6, 3386--3406 (2018; Zbl 1426.65189) Full Text: DOI arXiv
Giesl, Peter Converse theorems on contraction metrics for an equilibrium. (English) Zbl 1331.34120 J. Math. Anal. Appl. 424, No. 2, 1380-1403 (2015). MSC: 34D20 34D45 PDFBibTeX XMLCite \textit{P. Giesl}, J. Math. Anal. Appl. 424, No. 2, 1380--1403 (2015; Zbl 1331.34120) Full Text: DOI
Giesl, Peter A.; Hafstein, Sigurdur F. Revised CPA method to compute Lyapunov functions for nonlinear systems. (English) Zbl 1317.34134 J. Math. Anal. Appl. 410, No. 1, 292-306 (2014). MSC: 34D20 PDFBibTeX XMLCite \textit{P. A. Giesl} and \textit{S. F. Hafstein}, J. Math. Anal. Appl. 410, No. 1, 292--306 (2014; Zbl 1317.34134) Full Text: DOI
Giesl, Peter; Wendland, Holger Numerical determination of the basin of attraction for asymptotically autonomous dynamical systems. (English) Zbl 1246.37045 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 5, 2823-2840 (2012). Reviewer: Joseph Páez Chávez (Aberdeen) MSC: 37C60 37B25 65P99 PDFBibTeX XMLCite \textit{P. Giesl} and \textit{H. Wendland}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 5, 2823--2840 (2012; Zbl 1246.37045) Full Text: DOI
Giesl, Peter; Hafstein, Sigurdur Construction of Lyapunov functions for nonlinear planar systems by linear programming. (English) Zbl 1248.34083 J. Math. Anal. Appl. 388, No. 1, 463-479 (2012). Reviewer: Alexander Grin (Grodno) MSC: 34D20 90C05 PDFBibTeX XMLCite \textit{P. Giesl} and \textit{S. Hafstein}, J. Math. Anal. Appl. 388, No. 1, 463--479 (2012; Zbl 1248.34083) Full Text: DOI
Giesl, Peter; Wendland, Holger Numerical determination of the basin of attraction for exponentially asymptotically autonomous dynamical systems. (English) Zbl 1221.37043 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 10, 3191-3203 (2011). Reviewer: William J. Satzer jun. (St. Paul) MSC: 37C60 37B25 65P99 PDFBibTeX XMLCite \textit{P. Giesl} and \textit{H. Wendland}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 10, 3191--3203 (2011; Zbl 1221.37043) Full Text: DOI Link