PIETOOLS 2020a: User Manual

Sachin Shivakumar, Amritam Das, Matthew Peet

Published 2021-01-05Version 1

PIETOOLS 2020a manual is a document that describes all the features of the first release of MATLAB toolbox for analysis and control of Partial Integral Equations (PIEs). The manual is aimed to guide, with examples, the first time users to three basic features of PIETOOLS: converting coupled ODE-PDEs, DDEs, DDFs, etc., to PIE representation; analysis of stability and input-output properties of PIEs; design of optimal observers and controllers for PIEs. The use of PIETOOLS is not limited to the features described above, however, the manual focuses of these features to provide an holistic understanding of the workflow of PIETOOLS which will serve as a foundation to develop more complicated programs, for example design of boundary feedback controllers, robust observers, robust controllers, etc.