Stability and Control of Linear Systems

1. Auflage 2019
ISBN: 978-3-030-02404-8
Verlag: Springer International Publishing

Buch, Englisch, Band 185, 189 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 483 g

Reihe: Studies in Systems, Decision and Control

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.

Zielgruppe

Graduate

Autoren/Hrsg.

Bacciotti, Andrea

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Technische Wissenschaften Elektronik | Nachrichtentechnik Nachrichten- und Kommunikationstechnik Regelungstechnik
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Mathematik | Informatik Mathematik Mathematik Interdisziplinär Systemtheorie

Inhaltsverzeichnis

Introduction.- Unforced linear systems.- Stability of unforced linear systems.- Linear systems with forcing term.- Controllability and observability of linear systems.- External stability.- Stabilization.- Frequency domain approach.- Appendix A: Internal stability notions.- Appendix B: Laplace Transform.

Über Autor(innen)

Andrea Bacciotti is full professor of Mathematical Analysis at Politecnico di Torino, Italy, where he also served as dean of the Mathematics Department. His research interests focus on ordinary differential equations, differential inclusions, mathematical control theory and switched systems theory. With Springer he already published the book Liapunov Functions and Stability in Control Theory (ISBN 978-3-540-21332-1).