The book comprises a rigorous and self-contained treatment of initial-value problems for ordinary differential equations. It additionally develops the basics of control theory, which is a unique feature in current textbook literature.

The following topics are particularly emphasised:

existence, uniqueness and continuation of solutions,
continuous dependence on initial data,
flows,
qualitative behaviour of solutions,
limit sets,
stability theory,
invariance principles,
introductory control theory,
feedback and stabilization.

The...