This advanced textbook introduces the main concepts and advances in systems and control theory
and highlights the importance of geometric ideas in the context of possible extensions to the
more recent developments in nonlinear systems theory. Although inspired by engineering
applications the content is presented within a strong theoretical framework and with a solid
mathematical background and the reference models are always finite dimensional time-invariant
multivariable linear systems. The book focuses on the time domain approach but also considers
the frequency domain approach discussing the relationship between the two approaches
especially for single-input-single-output systems. It includes topics not usually addressed in
similar books such as a comparison between the frequency domain and the time domain approaches
bounded input bounded output stability (including a characterization in terms of canonical
decomposition) and static output feedback stabilization for which a simple and original
criterion in terms of generalized inverse matrices is proposed. The book is an ideal learning
resource for graduate students of control theory and automatic control courses in engineering
and mathematics as well as a reference or self-study guide for engineers and applied
mathematicians.
