Check out this overleaf link to observe the CAPABILITIES of this function:
https://www.overleaf.com/read/hchfzvzhxjkd

This fucntion generates fully compitable latex code.
It used to solve in a step-wise manner the following:
- Decomposition
-- Controllable Canonical Form (CCF)
-- Observable Canonical Form (OCF)
-- Diagonal Canonical Form (DCF)
-- Jordan Canonical Form (JCF)
- Similarity Transformation
-- Controllable Canonical Form (CCF)
-- Observable Canonical Form (OCF)
-- Diagonal Canonical Form (DCF)
-- Jordan Canonical Form (JCF)
- Controllability and Observability
-- Kalman test
-- Gilbert test
- Controller Design
-- Transformation Matrix Method
-- Direct Substitution Method
-- Ackermann's Formula Method
- Observer Design
-- Transformation Matrix Method
-- Direct Substitution Method
-- Ackermann's Formula Method
Inputs
fid: a file to write on.
systems: cell of systems. each system must be a structure
with num, den or A,B,C,D.
desired_poly: desired polynomial for controller design. (Optional)
desired_poly_observer: desired polynomial for observer design. (Optional)
Outputs a latex file that can combiled using any latex program
or using overleaf.com .