Creating a system with complex state matrices is sometimes needed (for example when you are working in a diagonal basis), but unfortunately python-control is missing this functionality right now.
Since that change would likely have a lot of code modified, I suggest to create a new branch, rewrite the tests with complex matrices and see where there fail.
Maybe also it would be better to focus first on python functions and then later modify SLICOT.
Creating a system with complex state matrices is sometimes needed (for example when you are working in a diagonal basis), but unfortunately python-control is missing this functionality right now.
Since that change would likely have a lot of code modified, I suggest to create a new branch, rewrite the tests with complex matrices and see where there fail.
Maybe also it would be better to focus first on python functions and then later modify SLICOT.