Peter Giesl

Publication Activity (10 Years)

Years Active: 2006-2024
Publications (10 Years): 37

Top Topics

Differential Equations

Lyapunov Function

Dynamical Systems

Error Estimates

Top Venues

SIAM J. Appl. Dyn. Syst.

Publications

Peter Giesl, Sigurdur F. Hafstein
Construction of a Contraction Metric for Time-Periodic Systems Using Meshless Collocation. IEEE Control. Syst. Lett. 8 (2024)
Stefania Andersen, Peter Giesl, Sigurdur F. Hafstein
Common Lyapunov Functions for Switched Linear Systems: Linear Programming-Based Approach. IEEE Control. Syst. Lett. 7 (2023)
Peter Giesl, Sigurdur F. Hafstein, Iman Mehrabinezhad
Positively Invariant Sets for ODEs and Numerical Integration. ICINCO (1) (2023)
Peter Giesl, Sigurdur F. Hafstein, Iman Mehrabinezhad
Contraction Metrics by Numerical Integration and Quadrature: Uniform Error Estimate. ICINCO (1) (2023)
Peter Giesl, Sigurdur F. Hafstein
Triangulations and Error Estimates for Interpolating Lyapunov Functions. SN Comput. Sci. 4 (4) (2023)
Mauricio S. Louzeiro, Christoph Kawan, Sigurdur F. Hafstein, Peter Giesl, Jinyun Yuan
A Projected Subgradient Method for the Computation of Adapted Metrics for Dynamical Systems. SIAM J. Appl. Dyn. Syst. 21 (4) (2022)
Peter Giesl, Sigurdur F. Hafstein, Iman Mehrabinezhad
Robustness of Numerically Computed Contraction Metrics. SN Comput. Sci. 3 (3) (2022)
Carlos Argáez, Peter Giesl, Sigurdur Freyr Hafstein
Eigenpairs for the Analysis of Complete Lyapunov Functions. Complex. 2022 (2022)
Peter Giesl, Sigurdur F. Hafstein, Iman Mehrabinezhad
Computation and verification of contraction metrics for exponentially stable equilibria. J. Comput. Appl. Math. 390 (2021)
Carlos Argáez, Peter Giesl, Sigurdur F. Hafstein
Comparison of Different Radial Basis Functions in Dynamical Systems. SIMULTECH (2021)
Peter Giesl, Sigurdur F. Hafstein
Uniformly Regular Triangulations for Parameterizing Lyapunov Functions. ICINCO (2021)
Peter Giesl, Carlos Argáez, Sigurdur F. Hafstein, Holger Wendland
Minimization with differential inequality constraints applied to complete Lyapunov functions. Math. Comput. 90 (331) (2021)
Christoph Kawan, Sigurdur F. Hafstein, Peter Giesl
A Subgradient Algorithm for Data-Rate Optimization in the Remote State Estimation Problem. SIAM J. Appl. Dyn. Syst. 20 (4) (2021)
Peter Giesl, Sigurdur F. Hafstein, Iman Mehrabinezhad
Robustness of Contraction Metrics Computed by Radial Basis Functions. ICINCO (2021)
Christoph Kawan, Sigurdur Freyr Hafstein, Peter Giesl
ResEntSG: Restoration entropy estimation for dynamical systems via Riemannian metric optimization. SoftwareX 15 (2021)
Carlos Argáez, Peter Giesl, Sigurdur Freyr Hafstein
Update (2.0) to LyapXool: Eigenpairs and new classification methods. SoftwareX 12 (2020)
Sigurdur Albertsson, Sigurdur F. Hafstein, Peter Giesl, Skuli Gudmundsson
Simplicial complex with approximate rotational symmetry: A general class of simplicial complexes. J. Comput. Appl. Math. 363 (2020)
Carlos Argáez, Peter Giesl, Sigurdur F. Hafstein
Evaluation of Lyapunov Function Candidates through Averaging Iterations. ICINCO (2020)
Peter Giesl, Conor Osborne, Sigurdur F. Hafstein
Automatic Determination of Connected Sublevel Sets of CPA Lyapunov Functions. SIAM J. Appl. Dyn. Syst. 19 (2) (2020)
Jürgen Giesl, Peter Giesl, Marcel Hark
Computing Expected Runtimes for Constant Probability Programs. CoRR (2019)
Carlos Argáez, Peter Giesl, Sigurdur Freyr Hafstein
Middle Point Reduction of the Chain-recurrent Set. SIMULTECH (2019)
Peter Giesl, Sigurdur F. Hafstein, Iman Mehrabinezhad
Computation and verification of contraction metrics for exponentially stable equilibria. CoRR (2019)
Peter Giesl
Computation of a Contraction Metric for a Periodic Orbit Using Meshfree Collocation. SIAM J. Appl. Dyn. Syst. 18 (3) (2019)
Carlos Argáez, Jean-Claude Berthet, Hjörtur Björnsson, Peter Giesl, Sigurdur Freyr Hafstein
LyapXool - a program to compute complete Lyapunov functions. SoftwareX 10 (2019)
Carlos Argáez, Peter Giesl, Sigurdur Freyr Hafstein
Improved estimation of the chain-recurrent set. ECC (2019)
Carlos Argáez, Peter Giesl, Sigurdur F. Hafstein
Clustering Algorithm for Generalized Recurrences using Complete Lyapunov Functions. ICINCO (1) (2019)
Jürgen Giesl, Peter Giesl, Marcel Hark
Computing Expected Runtimes for Constant Probability Programs. CADE (2019)
Peter Giesl, Najla Mohammed
Combination of Refinement and Verification for the Construction of Lyapunov Functions using Radial Basis Functions. ICINCO (1) (2018)
Carlos Argáez, Peter Giesl, Sigurdur F. Hafstein
Iterative Construction of Complete Lyapunov Functions. SIMULTECH (2018)
Peter Giesl, Carlos Argáez, Sigurdur F. Hafstein, Holger Wendland
Construction of a Complete Lyapunov Function using Quadratic Programming. ICINCO (1) (2018)
Hjörtur Björnsson, Peter Giesl, Skuli Gudmundsson, Sigurdur F. Hafstein
Local Lyapunov Functions for Nonlinear Stochastic Differential Equations by Linearization. ICINCO (1) (2018)
Carlos Argáez, Peter Giesl, Sigurdur F. Hafstein
Computation of Complete Lyapunov Functions for Three-Dimensional Systems. CDC (2018)
Peter Giesl, Holger Wendland
Kernel-Based Discretization for Solving Matrix-Valued PDEs. SIAM J. Numer. Anal. 56 (6) (2018)
Carlos Argáez, Peter Giesl, Sigurdur F. Hafstein
Complete Lyapunov Functions: Computation and Applications. SIMULTECH (Selected Papers) (2017)
Carlos Argáez, Sigurdur F. Hafstein, Peter Giesl
Wendland Functions - A C++ Code to Compute Them. SIMULTECH (2017)
Carlos Argáez, Sigurdur F. Hafstein, Peter Giesl
Analysing Dynamical Systems - Towards Computing Complete Lyapunov Functions. SIMULTECH (2017)
Peter Giesl, Sigurdur F. Hafstein
Computation and Verification of Lyapunov Functions. SIAM J. Appl. Dyn. Syst. 14 (4) (2015)
Johann Bjornsson, Peter Giesl, Sigurdur F. Hafstein, Christopher M. Kellett, Huijuan Li
Computation of continuous and piecewise affine Lyapunov functions by numerical approximations of the Massera construction. CDC (2014)
Peter Giesl, Sigurdur F. Hafstein
Implementation of a fan-like triangulation for the CPA method to compute Lyapunov functions. ACC (2014)
Peter Giesl
Construction of a local and global Lyapunov function for discrete dynamical systems using radial basis functions. J. Approx. Theory 153 (2) (2008)
Peter Giesl, Holger Wendland
Meshless Collocation: Error Estimates with Application to Dynamical Systems. SIAM J. Numer. Anal. 45 (4) (2007)
Katja D. Mombaur, Peter Giesl, Heiko Wagner
Stability Optimization of Juggling. HPSC (2006)