Open Access. Powered by Scholars. Published by Universities.®

Digital Commons Network

Open Access. Powered by Scholars. Published by Universities.®

Physical Sciences and Mathematics

PDF

Theses and Dissertations

2019

Necessary conditions

Articles 1 - 3 of 3

Full-Text Articles in Entire DC Network

Necessary And Sufficient Conditions On State Transformations That Preserve The Causal Structure Of Lti Dynamical Networks, Chi Ho Leung May 2019

Necessary And Sufficient Conditions On State Transformations That Preserve The Causal Structure Of Lti Dynamical Networks, Chi Ho Leung

Theses and Dissertations

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.


Necessary And Sufficient Conditions On State Transformations That Preserve The Causal Structure Of Lti Dynamical Networks, Chi Ho Leung May 2019

Necessary And Sufficient Conditions On State Transformations That Preserve The Causal Structure Of Lti Dynamical Networks, Chi Ho Leung

Theses and Dissertations

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.


Necessary And Sufficient Conditions On State Transformations That Preserve The Causal Structure Of Lti Dynamical Networks, Chi Ho Leung May 2019

Necessary And Sufficient Conditions On State Transformations That Preserve The Causal Structure Of Lti Dynamical Networks, Chi Ho Leung

Theses and Dissertations

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.