Optimizing the stable behavior of parameter-dependent dynamical systems - maximal domains of attraction, minimal absorption times
Optimization and Control
2013-08-12 v2 Dynamical Systems
Abstract
We propose a method for approximating solutions to optimization problems involving the global stability properties of parameter-dependent continuous-time autonomous dynamical systems. The method relies on an approximation of the infinite-state deterministic system by a finite-state non-deterministic one - a Markov jump process. The key properties of the method are that it does not use any trajectory simulation, and that the parameters and objective function are in a simple (and except for a system of linear equations) explicit relationship.
Keywords
Cite
@article{arxiv.1111.0495,
title = {Optimizing the stable behavior of parameter-dependent dynamical systems - maximal domains of attraction, minimal absorption times},
author = {Péter Koltai and Alexander Volf},
journal= {arXiv preprint arXiv:1111.0495},
year = {2013}
}