Abstract

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.

Degree

MS

College and Department

Physical and Mathematical Sciences; Computer Science

Rights

http://lib.byu.edu/about/copyright/

Date Submitted

2019-05-01

Document Type

Thesis

Handle

http://hdl.lib.byu.edu/1877/etd10769

Keywords

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

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