Structural Completeness of a Multi-channel Linear System with Dependent Parameters
Signal Processing
2022-06-24 v3 Systems and Control
Abstract
It is well known that the "fixed spectrum" {i.e., the set of fixed modes} of a multi-channel linear system plays a central role in the stabilization of such a system with decentralized control. A parameterized multi-channel linear system is said to be "structurally complete" if it has no fixed spectrum for almost all parameter values. Necessary and sufficient algebraic conditions are presented for a multi-channel linear system with dependent parameters to be structurally complete. An equivalent graphical condition is also given for a certain type of parameterization.
Keywords
Cite
@article{arxiv.1904.01505,
title = {Structural Completeness of a Multi-channel Linear System with Dependent Parameters},
author = {Fengjiao Liu and A. Stephen Morse},
journal= {arXiv preprint arXiv:1904.01505},
year = {2022}
}