24 Best Books on Nonlinear Systems Analysis

We have compiled a list of the Best Reference Books on Nonlinear Systems Analysis, which are used by students of top universities, and colleges. This will help you choose the right book depending on if you are a beginner or an expert. Here is the complete list of Nonlinear Systems Analysis Books with their authors, publishers, and an unbiased review of them as well as links to the Amazon website to directly purchase them. If permissible, you can also download the free PDF books on Nonlinear Systems Analysis below.

1. Nonlinear Systems Analysis

 
1."Chaos and Nonlinear Dynamics" by Hilborn
Book Review: This book offers immense value to students, scientists, and engineers specializing in the field of chaos and nonlinear dynamics. It covers differential equation models and iterated map models in detail, along with comprehensive explanations of Lyapunov exponents and fractal dimensions. Moreover, the book provides a step-by-step guide to understanding dynamics and state space geometry, and delves into the topic of quantum chaos as well. With its practical approach, the book serves as an indispensable resource for anyone interested in the fascinating field of chaos and nonlinear dynamics.

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2."Nonlinear Ordinary Differential Equations: An Introduction for Scientists and Engineers" by Jordan and Smith
Book Review: This textbook on nonlinear ordinary differential equations is highly recommended. It boasts a wealth of diagrams and worked-out examples to aid in comprehension. The book covers a diverse range of topics such as phase plane analysis, nonlinear damping, small parameter expansions, single perturbations, stability, Liapunov methods, Poincaré sequences, Liapunov exponents, and homoclinic bifurcation. Moreover, each chapter concludes with a set of problems for further practice. As such, this book is an invaluable resource for students and lecturers in the fields of engineering sciences and mathematics.

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3."Nonlinear Systems" by Khalil
Book Review: The book presents an incremental level of mathematical complexity as the reader progresses through its chapters. It is organized into four parts which cover basic analysis, feedback systems analysis, advanced analysis, and nonlinear feedback control. Additionally, it includes the latest information on nonlinear control design topics. The book also features informative chapters on passivity-based control, integral control, high-gain feedback, recursive methods, optimal stabilizing control, Lyapunov functions, and more. As such, this book serves as a valuable reference for both engineers and mathematicians.

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4."Performance Analysis of Flow Lines with Non-Linear Flow of Material" by STEFAN HELBER TECHNISCHE UNIVERSITT CLAUSTHAL-ZELLERFELD GERMANY
“Performance Analysis of Flow Lines with Non-Linear Flow of Material” Book Review: This book is intended for practitioners in the field and covers the design of flow lines using simulation techniques. The use of these simulation techniques aids in faster analysis. The book also covers other important aspects related to flow line design, such as cost estimation and design optimization for the net present value of the flow line investment. Additionally, the book addresses the non-linear flow of materials through the line, including quality inspections.

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5."Noblesse Workshop on Non-Linear Model Based Image Analysis - Proceedings of NWBIA" by D O Shah
“Noblesse Workshop on Non-Linear Model Based Image Analysis – Proceedings of NWBIA” Book Review: The book, presented at the Noblesse Workshop on Non-linear model based image analysis, is a valuable resource for newcomers to the field. It offers a comprehensive coverage of innovative model based techniques for the analysis of complex image sequences, as well as a diverse range of applications such as multimedia database construction, image archiving, and image sequence coding. The book delves into key concepts including 3D Image Models, Image/Video Restoration, Segmentation, and Object Oriented Coding, while also touching upon other important topics such as Colour Image Processing, Database Retrieval, Image Models, and Video Pre- and Post processing.

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6."Nonlinear Control Systems: Analysis and Design" by Horacio J Marquez
“Nonlinear Control Systems: Analysis and Design” Book Review: This book is specifically designed for students pursuing Process Engineering and provides an introduction to the fundamentals of nonlinear control systems. The author begins by explaining the concepts of Lyapunov and Input-Output stability theories before moving on to the backstepping approach. The book also emphasizes input-to-state stability and feedback linearization, as well as other topics such as dissipative system theory and nonlinear observers. The instructor’s manual included in the book provides step-by-step solutions to every question, and the reader can find additional problems with solutions at the back of the book. Additionally, the book discusses common problems encountered in industry and offers solutions to address them. Even those with no prior knowledge of the subject can use this book as a reference to master the topics.

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7."Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation" by Ivo Petras
“Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation” Book Review: The book focuses on the examination of fractional order chaotic systems with the assistance of MATLAB. It is intended for mathematicians, physicists, and engineers who are working in the field of chaos phenomena or fractional order systems. By reading this book, readers will gain familiarity with fractional calculus and its practical applications in real-world dynamical systems. The book also includes MATLAB programs that serve as visual aids for simulating state space trajectories of fractional order systems, as well as several Simulink models for a few fractional order systems. Additionally, the book provides an explanation of chaotic systems and their simulations.

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8."Nonlinear Systems Stability Analysis" by Nikravesh
“Nonlinear Systems Stability Analysis” Book Review: This book offers a comprehensive introduction to the essential tools needed for analyzing the stability of nonlinear systems, making it an ideal resource for graduate-level courses. The author utilizes Lyapunov approaches to examine the stability of dynamic systems, while also exploring the advantages and disadvantages of traditional stability techniques and presenting innovative alternatives in the field. In addition, the book delves into the concepts of homogeneous nonlinear systems and higher-order Lyapunov function derivatives for stability analysis. The author goes on to present original methods for implementing Lyapunov approaches in both autonomous and nonautonomous systems, providing readers with valuable new insights into this important area of study.

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9."NONLINEAR PHYSICAL SYSTEMS" by Dmitry E Pelinovsky
“NONLINEAR PHYSICAL SYSTEMS” Book Review: The book addresses issues related to stability and provides solutions to overcome them. It is a valuable resource for both experienced professionals and those new to the field. The book is divided into 28 chapters, with the initial chapters discussing topics such as simple elastic structures, unstable equilibrium, Bifurcation, and dissipation effects. Later chapters focus on concepts such as tunneling, stability of dipole gas solitons, representation of wave energy, and continuum Hamiltonian Hopf bifurcation. The final sections of the book cover subjects like energy stability analysis, stability optimization, spectral stability, and unfreezing Casimir invariants. Overall, this book provides a comprehensive and in-depth exploration of stability-related topics.

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10."Dynamical Systems with Saturation Nonlinearities" by Anthony N Michel
“Dynamical Systems with Saturation Nonlinearities” Book Review: This 3-part monograph is an introduction to control systems, signal processing, and neural networks for readers. The book is composed of 11 chapters. In the first part, the book covers dynamic systems and the qualitative theory of control systems, before delving into more advanced concepts. The last section emphasizes the analysis of robust synthesis and sparsely interconnected neural networks. Other concepts included in the book are null controllability, stability analysis, and overflow oscillations.

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11."Non-linear Systems Analysis" by M Vidyasagar
“Non-linear Systems Analysis” Book Review: This book covers the fundamentals of nonlinear systems and comprises several main chapters such as nonlinear differential equations, second order systems, approximate analysis method, and Lyapunov stability. In addition, it delves into other topics such as input-output stability and differential geometric methods. The book provides a thorough discussion of equations, definitions, and theorems, and each chapter contains a set of fully worked-out problems. As such, this book proves to be a valuable resource for students studying mathematics and engineering.

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12."Nonlinear Systems: Analysis, stability and control" by S Sastry
“Nonlinear Systems: Analysis, stability and control” Book Review: This book provides an in-depth understanding of techniques for nonlinear systems. It covers various major chapters such as linear vs. nonlinear, planar dynamical systems, mathematical background, input-output analysis, and Lyapunov stability theory. Additionally, it discusses other topics such as applications of Lyapunov theory, dynamical systems and bifurcations, basics of differential geometry, and design examples using linearization. The end-of-chapter exercises are included for student’s practice, and a summary is also provided for a quick review of the chapter. This book is highly suitable for students pursuing mathematics and engineering.

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13."Nonlinear Systems" by H K Khalil
“Nonlinear Systems” Book Review: This book presents a comprehensive introduction to nonlinear systems, covering major topics such as second-order systems, fundamental properties, Lyapunov stability, and passivity in separate chapters. Additionally, advanced stability analysis, single perturbations, feedback control, and nonlinear design tools are also discussed. To help students reinforce their understanding of the concepts, the book includes over 170 exercises for practice. Moreover, the appendix includes a proof of the existence and uniqueness theorem.

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14."Ordinary Differential Equations" by V I Arnold
“Ordinary Differential Equations” Book Review: This book provides a comprehensive overview of the fundamental principles of ordinary differential equations. It delves into various important topics, including phase spaces, vector fields on the line, phase flows, rectification theorem, and linear systems. Additionally, it covers other related areas such as the exponential function, its properties, topological classification of singular points, and stability of equilibrium positions. The book includes detailed explanations of equations and definitions and features a whopping 272 figures to aid in comprehension. This resource is highly recommended for students of engineering and mathematics.

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2. Non-Linear System Analysis and Control

 
1."Non-Linear System Analysis" by M Vidyasgar
Book Review: This book outlines the latest progress in applying differential geometric methods to nonlinear analysis, requiring control theorists to have fundamental knowledge of the techniques. It presents a comprehensive mathematical analysis of the behavior of nonlinear control systems under different conditions, covering topics such as Lyapunov stability, input-output stability, and the treatment of differential geometric control theory. The inclusion of multiple problems throughout the book helps readers assess their understanding. Furthermore, it provides generalizations of various techniques and methods that are applicable to linear control theory.

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2."Non-Linear Systems" by H Khalil
Book Review: The book is organized into four sections, namely basic analysis, feedback systems analysis, advanced analysis, and nonlinear feedback control. It covers a range of topics that are relevant to nonlinear control design, such as passivity-based control, integral control, high-gain feedback, recursive methods, optimal stabilizing controls, and observers. As such, it serves as an excellent reference guide for engineers and applied mathematicians seeking to expand their knowledge in this field.

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3."Analysis and Control of Nonlinear Systems: A Flatness-based Approach" by Jean Levine
Book Review: The focus of the book is on exploring the management of nonlinear systems. It encompasses a wide range of subjects, from mathematical system theory to real-world industrial control applications. The book delves into the study of non-linear flat systems, offering an introduction to deterministic and continuous time theory, as well as finite dimensional and non-linear control systems. Notably, the concept of flatness is comprehensively covered in the form of a monograph, making this the first book to do so. Additionally, the book presents numerous examples to illustrate key points. In the second part of the book, readers will find a comprehensive overview of the various applications of these methods in areas such as electric drives, magnetic bearings, cranes, and automatic flight control systems.

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4."ANALYSIS AND CONTROL OF NONLINEAR PROCESS" by Hangos
“ANALYSIS AND CONTROL OF NONLINEAR PROCESS ” Book Review: This book is designed primarily for engineering students and presents complex methods of nonlinear control in an accessible manner for process engineers. It covers not only the essential mathematical concepts but also uses the well-known dimension of finite-dimensional linear time-invariant continuous case as a foundation for nonlinear situations. The book relies heavily on theoretical knowledge to enhance comprehension and features easy-to-understand examples and case studies that demonstrate real-life applications.

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5."Analysis And Control Of Nonlinear Systems With Stationary Sets: Time-Domain And Frequency-Domain Methods" by Huang Lin
“Analysis And Control Of Nonlinear Systems With Stationary Sets: Time-Domain And Frequency-Domain Methods” Book Review: The primary objective of this book is to serve as a reference guide for students who are new to the subject. It commences by presenting theoretical explanations about the fundamentals, such as nonlinear systems with stationary sets, which were analyzed based on the frequency-domain of systems. It further discusses the analysis and techniques relevant to the global properties of systems with stationary sets, with a focus on clarifying multi-input and multi-output systems. The book provides a plethora of methods that are crucial for both research and learning purposes.

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6."Quasilinear Control Performance Analysis And Design Of Feedback Systems With Nonlinear Sensors And Actuators" by Shinung Ching
“Quasilinear Control Performance Analysis And Design Of Feedback Systems With Nonlinear Sensors And Actuators” Book Review: This book is a comprehensive guide for individuals interested in quasilinear control. The content simplifies complex mathematical concepts through practical tricks and techniques, utilizing the stochastic linearization and Jacobian linearization methods. The book also includes a bisection algorithm for equation-solving purposes. Moreover, the new chapters offer in-depth knowledge of actuators, sensors, partial and complete performance recovery, and numerous problem statements to aid readers in comprehending and implementing the material.

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7."Nonlinear Systems: Techniques for Dynamical Analysis and Control" by VAN DE WOUW
“Nonlinear Systems: Techniques for Dynamical Analysis and Control” Book Review: The book serves as a reference for both students and researchers. It offers a comprehensive view of various nonlinear systems and their control measures, attracting the attention of engineering students and scientists with a keen interest in the field. The book includes numerous case studies and expert reviews, facilitating readers’ understanding of complex concepts. Among the fascinating topics covered are geometric control theory, synchronization, convergent systems, and coordinated control.

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8."Analysis and Control of Nonlinear Systems with Stationary" by Yang Ying Duan Zhisheng and Huang Lin Wang Jinzhi
“Analysis and Control of Nonlinear Systems with Stationary” Book Review: This book is designed for both students and engineers with a keen interest in the field of nonlinear systems control. Its main focus is on this topic, presenting theoretical and practical knowledge about the time-domain and frequency-domain framework. A key feature of the book is its comparison of single-input and single-output systems with more advanced multi-input and multi-output systems. In addition, the text includes crucial control methods that aid readers in connecting with the real world.

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9."Problems and Methods of Optimal Control" by Akulenko L D
“Problems and Methods of Optimal Control” Book Review: This book is primarily intended for engineering students, but it can also serve as a reference for scientists. It covers the theory and applications of optimal control, including the construction of control laws and the optimization of dynamical systems. The book emphasizes the use of small parameters such as averaging, regular and singular perturbations, to efficiently construct solutions. It also covers methods for solving equations using slowly-varying parameters, nonlinear rotatory-oscillatory systems, and other topics, all of which are well-distributed throughout the chapters. Additionally, some chapters provide insights into mechanical systems and their practical problems.

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10."Stability and Stabilization of Nonlinear Systems" by Iasson Karafyllis and Zhong-Ping Jiang
“Stability and Stabilization of Nonlinear Systems” Book Review: This comprehensive book offers a thorough examination of the stability and stabilization of nonlinear systems, exploring feedback stabilization and delving into the major techniques employed in mathematical control theory. It covers a wide range of nonlinear systems, including finite-dimensional systems that can be characterized by ordinary differential equations and discrete-time systems. The text presents mathematical and theoretical explanations in order to enhance understanding, and is intended to cater to students, teachers, and professionals working in a variety of engineering and scientific fields.

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We have put a lot of effort into researching the best books on Nonlinear Systems Analysis and came out with a recommended list and their reviews. If any more book needs to be added to this list, please email us. We are working on free pdf downloads for books on Nonlinear Systems Analysis and will publish the download link here. Fill out this Nonlinear Systems Analysis books pdf download" request form for download notification.

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