Lifted polytope methods for stability analysis of switching systems
Optimization and Control
2012-07-24 v1 Systems and Control
Abstract
We describe new methods for deciding the stability of switching systems. The methods build on two ideas previously appeared in the literature: the polytope norm iterative construction, and the lifting procedure. Moreover, the combination of these two ideas allows us to introduce a pruning algorithm which can importantly reduce the computational burden. We prove several appealing theoretical properties of our methods like a finiteness computational result which extends a known result for unlifted sets of matrices, and provide numerical examples of their good behaviour.
Cite
@article{arxiv.1207.5123,
title = {Lifted polytope methods for stability analysis of switching systems},
author = {Raphael M. Jungers and Nicola Guglielmi and Antonio Cicone},
journal= {arXiv preprint arXiv:1207.5123},
year = {2012}
}