SciML / SciML/DataDrivenDiffEq.jl

Imposing stability in DMD

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enhancement
Dominant language
Julia
Stars
430
Forks
58
Avg merge
6h 29m
Merged PRs (30d)
28

Description

It would be nice to have a mechanism to impose stability of an estimated Koopman operator. One such mechanism which is commaonly employed for subspace-based identification is
https://www.researchgate.net/publication/3891703_Imposing_stability_in_subspace_identification_by_regularization
for which there is an implementation here

Contributor guide

Open the contributing guide

First steps

  1. Read the whole issue, then the project's contributing guide.
  2. Comment on the issue to say you are picking it up — it saves two people doing the same work.
  3. Fork the repository and make your change on a branch.
  4. Open a pull request that references the issue number.

Research direction

Start by reading the linked paper and the referenced ControlSystemIdentification.jl implementation in src/subspace.jl. Then locate the Koopman-operator estimation code in DataDrivenDiffEq.jl and determine an appropriate integration point. Done should mean the project exposes a mechanism for imposing stability, with tests showing that the estimated operator satisfies the intended stability constraint.

Written by the indexing model from the issue text.

Assessment

Tech stack
julia
Domain
machine-learning
Issue type
Feature
Difficulty
5/5
Estimated time
Over a week
Activity status
Stale
Clarity
Mostly clear
Newbie friendliness
30/100

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