Stability and Control of Linear Systems

  • Andrea Bacciotti

Part of the Studies in Systems, Decision and Control book series (SSDC, volume 185)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Andrea Bacciotti
    Pages 1-19
  3. Andrea Bacciotti
    Pages 21-42
  4. Andrea Bacciotti
    Pages 43-51
  5. Andrea Bacciotti
    Pages 53-68
  6. Andrea Bacciotti
    Pages 97-110
  7. Andrea Bacciotti
    Pages 111-138
  8. Andrea Bacciotti
    Pages 139-164
  9. Back Matter
    Pages 165-189

About this book


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.


Linear Control Systems Lyapunov Stability Linear Time Invariant Systems Controllability Control Theory Static Output Feedback Stabilization Stability Theory Observability Matrix Canonical Decompositions Automatic Control

Authors and affiliations

  • Andrea Bacciotti
    • 1
  1. 1.Dipartimento di Scienze Matematiche “G.L. Lagrange” (DISMA: Dipartimento di eccellenza 2018–22)Politecnico di TorinoTurinItaly

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