Computational approach for complete Lyapunov functions
C Argáez, P Giesl, SF Hafstein - … : Łódź, Poland December 11–14, 2017 14, 2018 - Springer
Ordinary differential equations arise in a variety of applications, including climate modeling,
electronics, predator-prey modeling, etc., and they can exhibit highly complicated dynamical …
electronics, predator-prey modeling, etc., and they can exhibit highly complicated dynamical …
[PDF][PDF] Iterative Construction of Complete Lyapunov Functions.
C Argáez, P Giesl, SF Hafstein - SIMULTECH, 2018 - pdfs.semanticscholar.org
Dynamical systems describe the evolution of quantities governed by differential equations.
Hence, they represent a very powerful prediction tool in many disciplines such as physics …
Hence, they represent a very powerful prediction tool in many disciplines such as physics …
Computation of complete Lyapunov functions for three-dimensional systems
C Argáez, P Giesl, S Hafstein - 2018 IEEE Conference on …, 2018 - ieeexplore.ieee.org
Complete Lyapunov functions are of much interest in control theory because of their
capability to describe the long-time behaviour of nonlinear dynamical systems. The state …
capability to describe the long-time behaviour of nonlinear dynamical systems. The state …
[PDF][PDF] Construction of a Complete Lyapunov Function using Quadratic Programming.
A complete Lyapunov function characterizes the behaviour of a general dynamical system.
In particular, the state space is split into the chain-recurrent set, where the function is …
In particular, the state space is split into the chain-recurrent set, where the function is …
Fast basin stability estimation for dynamic systems under large perturbations with sequential support vector machine
The vulnerability of real-world dynamic systems or processes to large perturbations has
nullified the conventional linear stability analysis. Despite the theoretical advance on …
nullified the conventional linear stability analysis. Despite the theoretical advance on …
Eigenpairs for the analysis of complete Lyapunov functions
C Argáez, P Giesl, SF Hafstein - Complexity, 2022 - Wiley Online Library
A complete Lyapunov function describes the qualitative behaviour of a dynamical system:
the areas where the orbital derivative vanishes and where it is strictly negative characterise …
the areas where the orbital derivative vanishes and where it is strictly negative characterise …
Minimization with differential inequality and equality constraints applied to complete Lyapunov functions
Meshfree collocation in reproducing kernel Hilbert spaces is an established method to solve
generalized interpolation problems such as PDEs. It can be formulated as an optimization …
generalized interpolation problems such as PDEs. It can be formulated as an optimization …
Iterative construction of complete Lyapunov functions: Analysis of algorithm efficiency
C Argáez, P Giesl, S Hafstein - International Conference on Simulation …, 2018 - Springer
Differential equations describe many interesting phenomena arising from various
disciplines. This includes many important models, eg predator-prey in population biology or …
disciplines. This includes many important models, eg predator-prey in population biology or …
Improved estimation of the chain-recurrent set
C Argáez, P Giesl, SF Hafstein - 2019 18th European Control …, 2019 - ieeexplore.ieee.org
When studying the behaviour of dynamical systems, one particular goal is to find and isolate
the periodic solutions and the equilibria. They are a subset of the chain-recurrent set of the …
the periodic solutions and the equilibria. They are a subset of the chain-recurrent set of the …
[HTML][HTML] LyapXool–a program to compute complete Lyapunov functions
C Argáez, JC Berthet, H Björnsson, P Giesl… - SoftwareX, 2019 - Elsevier
LyapXool is a C++ program to compute complete Lyapunov functions and their orbital
derivatives for any two-or three-dimensional dynamical system expressed by an …
derivatives for any two-or three-dimensional dynamical system expressed by an …