Linear systems theory / João P. Hespanha.

Format:

Book

Author/Creator:

Hespanha, João P., author.

Language:

English

Subjects (All):

Linear systems--Textbooks.

Linear systems.

System analysis--Textbooks.

System analysis.

Physical Description:

1 online resource (330 pages)

Edition:

2nd edition

Place of Publication:

Princeton, NJ : Princeton University Press, [2018]

Language Note:

In English.

Summary:

A fully updated textbook on linear systems theoryLinear systems theory is the cornerstone of control theory and a well-established discipline that focuses on linear differential equations from the perspective of control and estimation. This updated second edition of Linear Systems Theory covers the subject's key topics in a unique lecture-style format, making the book easy to use for instructors and students. João Hespanha looks at system representation, stability, controllability and state feedback, observability and state estimation, and realization theory. He provides the background for advanced modern control design techniques and feedback linearization and examines advanced foundational topics, such as multivariable poles and zeros and LQG/LQR. The textbook presents only the most essential mathematical derivations and places comments, discussion, and terminology in sidebars so that readers can follow the core material easily and without distraction. Annotated proofs with sidebars explain the techniques of proof construction, including contradiction, contraposition, cycles of implications to prove equivalence, and the difference between necessity and sufficiency. Annotated theoretical developments also use sidebars to discuss relevant commands available in MATLAB, allowing students to understand these tools. This second edition contains a large number of new practice exercises with solutions. Based on typical problems, these exercises guide students to succinct and precise answers, helping to clarify issues and consolidate knowledge. The book's balanced chapters can each be covered in approximately two hours of lecture time, simplifying course planning and student review. Easy-to-use textbook in unique lecture-style formatSidebars explain topics in further detailAnnotated proofs and discussions of MATLAB commandsBalanced chapters can each be taught in two hours of course lectureNew practice exercises with solutions included

Contents:

Frontmatter

Contents

Preamble

Linear systems i - basic concepts

Part I. System representation

State-space linear systems

Linearization

Causality, time invariance, and linearity

Impulse response and transfer function of state-space systems

Solutions to LTV systems

Solutions to LTI systems

Solutions to LTI systems: the Jordan normal form

Part II. Stability

Internal or Lyapunov stability

Input-output stability

Preview of optimal control

Part III Controllability and state feedback

Controllable and reachable subspaces

Controllable systems

Controllable decompositions

Stabilizability

Part IV. Observability and output feedback

Observability

Output feedback

Minimal realizations

Linear systems II - advanced material

Part V. Poles and zeros of Mimo systems

Smith-McMillan form

State-space poles, zeros, and minimality

System inverses

Part VI. LQR/LQG optimal control

Linear Quadratic Regulation (LQR)

The algebraic Riccati Equation (ARE)

Frequency domain and asymptotic properties of LQR

LQG/LQR and the Q parameterization

Q design

Bibliography

Index

Notes:

Includes bibliographical references and index.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 23. Mai 2019)

ISBN:

9781400890088

140089008X

OCLC:

1049618657