Linear Systems

Stability and ControlBy Eshwar Sekhon
Listen with Sir Michael Caine™ and 1,000+ voices
Length6h 2m

About this audiobook

"Linear Systems: Stability and Control" is a comprehensive textbook designed to provide undergraduate students with a solid foundation in the principles governing the stability and control of linear systems. Authored by leading experts, we offer a rigorous yet accessible introduction to key concepts essential for understanding the behavior of linear systems across various engineering disciplines. Structured to accommodate diverse learning styles, each chapter begins with clear objectives and practical examples to engage students and illustrate real-world applications. We systematically cover fundamental topics, including system modeling, stability analysis, controllability, and observability, guiding students through the intricacies of linear system theory with clarity and precision. Our book bridges theory with practice, featuring numerous examples and case studies from disciplines like aerospace, mechanical, and electrical engineering. We include review questions, exercises, and MATLAB simulations in each chapter to reinforce understanding and facilitate self-assessment. Emphasizing contemporary approaches and techniques, such as state-space methods and optimal control theory, we equip students with the skills necessary to tackle cutting-edge research and industry challenges. Whether preparing for advanced coursework or entering the workforce, "Linear Systems: Stability and Control" provides the knowledge and skills needed to analyze, design, and optimize linear systems in diverse engineering applications.

Audiobook details

GenreScience and Nature, Education and Learning
Length6 hrs 2 mins
Narrated byListen with 1,000+ voices
FormateBook with Audio
Publish dateFeb 20, 2025
LanguageEnglish

Table of contents

1Introduction to Control Systems
21.1 What is a Control System?
3Solved Example:: Practice Problem:
41.2 Types of Control Systems
5Solved Example:: Practice Problem:
Show all chapters
61.3 Importance of Control Systems
7Solved Example:: Practice Problem:
81.4 Open-Loop and Closed-Loop Control Systems
9Open-Loop Control Systems:
10Closed-Loop Control Systems:
11Solved Example:: Practice Problem:
121.5 Examples of Control Systems
131.6 Mathematical Modeling of Control Systems
14Differential Equation Modeling:
15Transfer Function Modeling:
16State-Space Modeling:
17Linearization of Nonlinear Systems:
18Solved Example:: Practice Problem:
191.7 Linearization of Nonlinear Systems
20Introducing the following notation:
21Solved Example:
22Practice Problem Solutions:: Conclusion
23Mathematical Preliminaries
242.1 Matrices and Matrix Operations
25Definition of a Matrix:
26Types of Matrices:
27Matrix Operations:
28Properties of Matrix Operations:: Practice Problems:
292.2 Determinants
30Definition of a Determinant:
31Properties of Determinants:
32Inverse of a Matrix:
33Solved Example:: Practice Problems:
342.3 Eigenvalues and Eigenvectors
35Properties of Eigenvalues and Eigenvectors:
36Solved Example:: Practice Problems:
372.4 Vector Spaces
38Definition of a Vector Space:
39Subspaces:
40Linear Independence and Basis:
41Dimension of a Vector Space:
42Solved Example:: Practice Problem:
432.5 Linear Transformations
44Definition of a Linear Transformation:
45Matrix Representation of Linear Transformations:
46Properties of Linear Transformations:
47Kernel and Range of a Linear Transformation:
48Eigenvalues and Eigenvectors of Linear Transformations:
49Solved Example:: Practice Problems:
502.6 Quadratic Forms

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