${\mathcal K}$-monotonicity and feedback synthesis for incrementally stable networks
Systems and Control
2023-03-07 v2 Systems and Control
Optimization and Control
Abstract
We discuss the role of monotonicity in enabling numerically tractable modular control design for networked nonlinear systems. We first show that the variational systems of monotone systems can be embedded into positive systems. Utilizing this embedding, we show how to solve a network stabilization problem by enforcing monotonicity and exponential dissipativity of the network sub-components. Such modular approach leads to a design algorithm based on a sequence of linear programming problems.
Cite
@article{arxiv.2207.09828,
title = {${\mathcal K}$-monotonicity and feedback synthesis for incrementally stable networks},
author = {Yu Kawano and Fulvio Forni},
journal= {arXiv preprint arXiv:2207.09828},
year = {2023}
}