Basic Mathematical Tools

The backbone of this chapter of the book evolves from finite dimension vector spaces, mappings and convex analysis. Much of the material is standard linear algebra, with which the reader is assumed to have some familiarity and therefore our intention is to provide an overview of the key ideas and mathematical tools. In addition, this appendix provides a collection of basic analytical results organized to make the book self-contained and help the readers follow up the topics in a systematic and easy way. This includes a glimpse of graph theory, basic linear matrix inequalities and stability notions.