Principal Component Analysis in Linear Systems

Moore, B. C. (1981). Principal Component Analysis in Linear Systems: Controllability, Observability, and Model Reduction. IEEE Transactions on Automatic Control, 26(1), 17-32.

Type

Journal article

Intellectual base

Primary research

Year

1981

DOI

10.1109/tac.1981.1102568

Link

https://doi.org/10.1109/TAC.1981.1102568

Cited from

engineering_design, mathematics, neuroscience, statistics_experimental_design

Cited by

5 citations across 5 artifacts.

Each citation links to the sentence it supports in the citing article.

Primes

• Controllability
  • Variants include: structural controllability (generic controllability based on system-matrix sparsity pattern, independent of parameter values); small-time local controllability (controllability within a neighborhood, possibly within a short horizon); robust controllability (preserved under model uncertainty); constrained controllability (controllability when inputs are restricted to a subset — e.g., bounded thrust); controllability gramian (quantifies how controllable each state direction is, supporting model reduction and actuator placement)

    This sourceIntroduces balanced realizations and the use of controllability/observability gramians to quantify how controllable each state direction is, supporting model reduction.

• Linearity
  • Listed in the references but not attached to a specific claim.
• Measurement Uncertainty and Observational Noise
  • Listed in the references but not attached to a specific claim.
• Observability
  • Variants include: structural observability (generic observability based on the sparsity pattern of system matrices, independent of parameter values); weak vs. strong observability (minimum-interval length for state reconstruction); robust observability (preserved under model uncertainty and disturbances); observability gramian (quantifies how observable each state direction is, enabling model reduction by truncating poorly-observable modes)
• Predictive Coding
  • Listed in the references but not attached to a specific claim.

Verification

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