On State-Space Modeling and Signal Localization in Dynamical Systems

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Abstract

This letter focuses on two topics in engineering analysis, which are (1) degree-of-freedom (DOF) in modeling of dynamical systems and (2) simultaneous time and frequency localization of signals. These issues are explained from the perspectives of decision and control by making use of concepts from applied mathematics and theoretical physics. Specifically, a new definition is proposed to clarify the notion of “DOF,” which is consistent with the dimension of the state space of the dynamical system model. Relevant examples are presented on (finite-dimensional) vector spaces over the real field R and/or the complex field C.

Original languageEnglish (US)
Article number011006
JournalASME Letters in Dynamic Systems and Control
Volume2
Issue number1
DOIs
StatePublished - Jan 2022

All Science Journal Classification (ASJC) codes

  • Industrial and Manufacturing Engineering
  • Automotive Engineering
  • Biomedical Engineering
  • Mechanical Engineering

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