Nonlinear Negative Imaginary Systems with Switching
Systems and Control
2023-04-04 v1 Systems and Control
Optimization and Control
Abstract
In this paper, we extend nonlinear negative imaginary (NI) systems theory to switched systems. Switched nonlinear NI systems and switched nonlinear output strictly negative imaginary (OSNI) systems are defined. We show that the interconnection of two switched nonlinear NI systems is still switched nonlinear NI. The interconnection of a switched nonlinear NI system and a switched nonlinear OSNI system is asymptotically stable under some assumptions. This stability result is then illustrated using a numerical example.
Keywords
Cite
@article{arxiv.2304.00694,
title = {Nonlinear Negative Imaginary Systems with Switching},
author = {Kanghong Shi and Ian R. Petersen and Igor G. Vladimirov},
journal= {arXiv preprint arXiv:2304.00694},
year = {2023}
}
Comments
7 pages, 4 figures. Full archive version for the paper of the same title to appear in the proceedings of IFAC World Congress 2023