• Corpus ID: 212736902

Unifying Theorems for Subspace Identification and Dynamic Mode Decomposition

  title={Unifying Theorems for Subspace Identification and Dynamic Mode Decomposition},
  author={Sungho Shin and Qiugang Lu and Victor M. Zavala},
This paper presents unifying results for subspace identification (SID) and dynamic mode decomposition (DMD) for autonomous dynamical systems. We observe that SID seeks to solve an optimization problem to estimate an extended observability matrix and a state sequence that minimizes the prediction error for the state-space model. Moreover, we observe that DMD seeks to solve a rank-constrained matrix regression problem that minimizes the prediction error of an extended autoregressive model. We… 

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