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arXiv · 1904.01505

Structural Completeness of a Multi-channel Linear System with Dependent Parameters

Fengjiao Liu·A. Stephen Morse
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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.

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BibTeXRIS

Fengjiao Liu, A. Stephen Morse. 2019-04-02. Structural Completeness of a Multi-channel Linear System with Dependent Parameters. https://doi.org/10.1109/tac.2021.3062327

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