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.
College and Department
Physical and Mathematical Sciences; Computer Science
BYU ScholarsArchive Citation
Leung, Chi Ho, "Necessary and Sufficient Conditions on State Transformations That Preserve the Causal Structure of LTI Dynamical Networks" (2019). Theses and Dissertations. 7416.
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