• Corpus ID: 231846762

Linear Matrix Inequality Approaches to Koopman Operator Approximation

  title={Linear Matrix Inequality Approaches to Koopman Operator Approximation},
  author={Steven Dahdah and James Richard Forbes},
Koopman operator theory [1–4] provides a means to globally represent a nonlinear system as a linear system by transforming its states into an infinite-dimensional space of lifted states. The Koopman operator advances the current lifted state of the system to the next lifted state, much like the state transition matrix of a linear system. While originally proposed by B. O. Koopman in 1931 [1], modern computational resources, along with recent theoretical developments [2–4], have led to a… 
1 Citations
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