Global Uniform Ultimate Boundedness of Semi-Passive Systems Interconnected over Directed Graphs
Optimization and Control
2023-09-25 v1
Abstract
We analyse the solutions of networked heterogeneous nonlinear systems. We assume that the closed-loop interconnected systems form a network with an underlying connected directed graph that contains a directed spanning tree. For these systems, we establish global uniform ultimate boundedness of the solutions, under the assumption that each agent's dynamics defines a semi-passive. As a corollary, we also establish global uniform global boundedness of the solutions.
Cite
@article{arxiv.2309.12480,
title = {Global Uniform Ultimate Boundedness of Semi-Passive Systems Interconnected over Directed Graphs},
author = {Anes Lazri and Mohamed Maghenem and Elena Panteley and Antonio Loria},
journal= {arXiv preprint arXiv:2309.12480},
year = {2023}
}