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Stability and control of linear systems

Author: Andrea Bacciotti
Publisher: Cham, Switzerland : Springer, [2019]
Series: Studies in systems, decision and control, v. 185.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: (OCoLC)1052862792
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Andrea Bacciotti
ISBN: 9783030024055 3030024059
OCLC Number: 1077483356
Description: 1 online resource.
Contents: 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.
Series Title: Studies in systems, decision and control, v. 185.
Responsibility: Andrea Bacciotti.

Abstract:

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.

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