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Necessary and Sufficient Conditions on State Transformations That Preserve the Causal Structure of LTI Dynamical NetworksLeung, Chi Ho 01 May 2019 (has links)
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.
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42 |
Necessary and Sufficient Conditions on State Transformations That Preserve the Causal Structure of LTI Dynamical NetworksLeung, Chi Ho 01 May 2019 (has links)
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.
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43 |
Necessary and Sufficient Conditions on State Transformations That Preserve the Causal Structure of LTI Dynamical NetworksLeung, Chi Ho 01 May 2019 (has links)
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.
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