Root-max Problems, Hybrid Expansion-Contraction, and Quadratically Convergent Optimization of Passive Systems
Optimization and Control
2022-05-26 v2 Numerical Analysis
Systems and Control
Systems and Control
Dynamical Systems
Numerical Analysis
Abstract
We present quadratically convergent algorithms to compute the extremal value of a real parameter for which a given rational transfer function of a linear time-invariant system is passive. This problem is formulated for both continuous-time and discrete-time systems and is linked to the problem of finding a realization of a rational transfer function such that its passivity radius is maximized. Our new methods make use of the Hybrid Expansion-Contraction algorithm, which we extend and generalize to the setting of what we call root-max problems.
Cite
@article{arxiv.2109.00974,
title = {Root-max Problems, Hybrid Expansion-Contraction, and Quadratically Convergent Optimization of Passive Systems},
author = {Tim Mitchell and Paul Van Dooren},
journal= {arXiv preprint arXiv:2109.00974},
year = {2022}
}
Comments
Revision #1