Strongly unimodal systems
Optimization and Control
2018-11-12 v1 Dynamical Systems
Abstract
We investigate the property for an input-output system to map unimodal inputs to unimodal outputs. As a first step, we analyse this property for linear time-invariant (LTI) systems, static nonlinearities, and interconnections of those. In particular, we show how unimodality is closely related to the concepts of positivity, monotonicity, and total positivity.
Cite
@article{arxiv.1811.03986,
title = {Strongly unimodal systems},
author = {Christian Grussler and Rodolphe Sepulchre},
journal= {arXiv preprint arXiv:1811.03986},
year = {2018}
}
Comments
Submitted to European Control Conference 2019