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Everything about Subspace identification method

Mathematical concept

In mathematics, specifically in control theory, subspace identification (SID) aims at identifying linear time invariant (LTI) state space models from input-output data. SID does not require that the user parametrizes the system matrices before solving a parametric optimization problem and, as a consequence, SID methods do not suffer from problems related to local minima that often lead to unsatisfactory identification results. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Subspace identification methodA 5-minute orientation
  2. Skim a recent paper: Machine learning-based stochastic subspace identification method for structural modal parametersInfluential work since 2022
  3. Pick up a classic book: Neural Information ProcessingThe most-reprinted book on the subject
  4. Read the landmark paper: A subspace identification extension to the phase correlation methodCited 199 times
  5. Go sideways: Hankel matrixA closely related topic
  6. Go sideways: Realization (systems)A closely related topic

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