An Explanation of Linear Discrete Time System Behavior by Singular Value Decomposition of the System Matrix

  • Zachery R
  • Wang S
  • D C
  • 1

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Abstract

This study formulates the single-input-single-output (SISO) output controllability problem based on singular value decomposition (SVD) of the system matrix. With the approach, the authors show if any input trajectory is along a right singular vector, the output trajectory will be along the corresponding left singular vector and will mirror the input. In addition, the authors derive a relationship between zero locations and system matrix minimum singular values /spl sigma//sub min/ and pole locations and system matrix maximum singular values, /spl sigma//sub max/ in the linear discrete time problem.

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Authors

  • Randy Zachery

  • Shih-ho Wang

  • Canpb C B D

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