Necessary and Sufficient Conditions on State Transformations That Preserve the Causal Structure of LTI Dynamical Networks

Description

Linear time-invariant (LTI) dynamic networks are described by their dynamical structure function, and generally, they have many possible state space realizations. This work characterizes the necessary and sufficient conditions on a state transformation that preserves the dynamical structure function, thereby generating the entire set of realizations of a given order for a specific dynamic network.

Links & Downloads

1. https://scholarsarchive.byu.edu/etd/7470
2. https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=8470&context=etd

Tags

linear systems

state-space methods

necessary conditions

sufficient conditions

state transformation

causal structure

LTI dynamical networks

linear time-invariant dynamic networks

dynamical structure function

specific dynamic network

state space realizations

Computational modeling

Mathematical model

Aerospace electronics

Transfer functions

Linear systems

Structural engineering

Heuristic algorithms

Physical Sciences and Mathematics

Additional Fields

Identifer	oai:union.ndltd.org:BGMYU2/oai:scholarsarchive.byu.edu:etd-8470
Date	01 May 2019
Creators	Leung, Chi Ho
Publisher	BYU ScholarsArchive
Source Sets	Brigham Young University
Detected Language	English
Type	text
Format	application/pdf
Source	Theses and Dissertations
Rights	http://lib.byu.edu/about/copyright/