Stability and Control of Linear Systems
Author(s): Andrea Bacciotti
Series: Studies in Systems, Decision and Control 185
Publisher: Springer International Publishing, Year: ۲۰۱۹
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.