Consistently initialize before computing the linearization

[YingboMa]

@baggepinnen could you finish up this PR by adding some user configurations so that repeated linearization won't be as expensive?

[ai-maintainer]

AI-Maintainer Review for PR - Consistently initialize before computing the linearization

Title and Description 👍

The Title and description are clear and focused

The title and description of the pull request are clear and focused. They effectively communicate the purpose of the changes, which is to ensure consistent initialization before performing the linearization process and to optimize the repeated linearization process by introducing user configurations.

Scope of Changes 👍

The changes are narrowly focused

The changes in this pull request are narrowly focused on a specific issue. The modifications to the Project.toml file and the abstractsystem.jl file are related to the consistent initialization and optimization of the linearization process. There is no indication that the author is trying to resolve multiple issues simultaneously.

Testing 👎

Testing details are missing

The description does not provide any information about how the author tested the changes. It would be helpful for the author to provide details about the testing approach and any relevant test results to ensure the changes have been thoroughly validated.

Code Documentation 👍

No new functions, classes, or methods added

Based on the provided diff, there are no newly added functions, classes, or methods. Therefore, there are no docstrings that need to be added.

Suggested Changes

• Please provide details about how the changes were tested. This could include the testing methodologies used, specific test cases, and results.
• Consider adding comments in the code where the OrdinaryDiffEq package is used to explain why it's necessary and how it contributes to the optimization of the linearization process.

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