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Necessary And Sufficient Conditions On State Transformations That Preserve The Causal Structure Of Lti Dynamical Networks, Chi Ho Leung
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
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
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.
Representation And Reconstruction Of Linear, Time-Invariant Networks, Nathan Scott Woodbury
Representation And Reconstruction Of Linear, Time-Invariant Networks, Nathan Scott Woodbury
Theses and Dissertations
Network reconstruction is the process of recovering a unique structured representation of some dynamic system using input-output data and some additional knowledge about the structure of the system. Many network reconstruction algorithms have been proposed in recent years, most dealing with the reconstruction of strictly proper networks (i.e., networks that require delays in all dynamics between measured variables). However, no reconstruction technique presently exists capable of recovering both the structure and dynamics of networks where links are proper (delays in dynamics are not required) and not necessarily strictly proper.The ultimate objective of this dissertation is to develop algorithms capable of …