  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.
