Fiedler Linearizations for Higher Order State-Space Systems
Authors
-
,IN
Namita Behera
DOI:
https://doi.org/10.18311/jims/2022/25773Keywords:
Higher Order System, System Matrix, Transfer Function, Zero, Zero Direction, Matrix Polynomial, Eigenvalue, Eigenvector, Matrix Pencil, Linearization, Fiedler Pencil.Abstract
Consider a higher order state space system and associated system matrix S(?). The aim of this paper is to linearize the higher order system preserving system characteristics. That is, we derive a linearized state space system of the given higher order system preserving system characteristics(e.g., controllability, observability, various zeros and transfer function) for analysis of higher order systems which gives the solution for higher order system. We study recovery of zero directions of higher order state space system from those of the linearizations. That is, the zero directions of the transfer functions associated to higher order state space system are recovered from the eigenvectors of the Fiedler pencils without performing any arithmetic operations.
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Copyright (c) 2022 Namita Behera
This work is licensed under a Creative Commons Attribution 4.0 International License.
Accepted 2022-02-16
Published 2022-08-23
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