Stability and Control of Linear Systems

Description

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. Front Matter ....Pages i-xvii Introduction (Andrea Bacciotti)....Pages 1-19 Unforced Linear Systems (Andrea Bacciotti)....Pages 21-42 Stability of Unforced Linear Systems (Andrea Bacciotti)....Pages 43-51 Linear Systems with Forcing Term (Andrea Bacciotti)....Pages 53-68 Controllability and Observability of Linear Systems (Andrea Bacciotti)....Pages 69-96 External Stability (Andrea Bacciotti)....Pages 97-110 Stabilization (Andrea Bacciotti)....Pages 111-138 Frequency Domain Approach (Andrea Bacciotti)....Pages 139-164 Back Matter ....Pages 165-189