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Readme - LTI Discrete-Time Systems: Response Modes

During the course lectures, we will demonstrate how to effectively utilize MATLAB and its toolboxes to solve problems in performance analysis of dynamic systems, parametric estimation, model identification from data, and prediction of dynamic system evolution.

The "LTI_movements_response_modes.m" live script illustrates, by experimenting:

• How to compute the response mode matrices using MATLAB, either in the scenario of all distinct eigenvalues or in the case of multiple eigenvalues;

• How to proficiently solve symbolic and numeric problems involving the computation of the response modes using MATLAB.

The live script named "LTI_state_free_movement" illustrates how choosing the initial state as a linear combination of the right eigenvectors of the matrix A can influence the state free movement.

Finally, the live script named "Hands_On_LTIsys_ResponseModes_EXERCISES.m" contains a few exercises. The sketches of the solutions are available in a few PDF documents in the folder "handwritten_notes".

Instructions

Steps to retrieve and run the live script:

• Download as a ZIP archive all the contents of the folder named "L3_Response_Modes," available in the "Class Materials" file area of the MS Teams course team.
• Uncompress the archive into a preferred folder.
• Add the chosen folder and subfolders to the MATLAB path.
• To start using the set of MATLAB live scripts, please select the previously chosen folder as the working folder directly in MATLAB and open the live script named "LTI_movements_response_modes.m".

Work your way through the sections of this live script, using the links to navigate through the various addressed topics. You can also browse the live script as a PDF or HTML document. Please note: the PDF and HTML versions of a live script do not preserve the capability to insert a MATLAB command or code directly into the live script, thereby obtaining the result directly within the script itself.