Kindly note that we have put a lot of effort into researching the best books on Non-linear Systems Analysis subject and came out with a recommended list of top 10 best books. The table below contains the Name of these best books, their authors, publishers and an unbiased review of books on "Non-linear Systems Analysis" as well as links to the Amazon website to directly purchase these books. As an Amazon Associate, we earn from qualifying purchases, but this does not impact our reviews, comparisons, and listing of these top books; the table serves as a ready reckoner list of these best books.
|1. “Non-linear Systems Analysis” by M Vidyasagar
“Non-linear Systems Analysis” Book Review: this book contains the basics of nonlinear systems. The main chapters included are nonlinear differential equations, second order systems, approximate analysis method and lyapunov stability. Other topics included are input-output stability and differential geometric methods. Equations, definitions and theorems are discussed at length. Fully worked out problems are mentioned in every chapter. This book is useful for students studying mathematics and engineering.
|2. “Nonlinear Systems: Analysis, stability and control” by S Sastry
“Nonlinear Systems: Analysis, stability and control” Book Review: this book describes the techniques for nonlinear systems. The major chapters discussed are linear vs nonlinear, planar dynamical systems, mathematical background, input-output analysis and Lyapunov stability theory. Other topics mentioned are applications of Lyapunov theory, dynamical systems and bifurcations, basics of differential geometry and design examples using linearization. Exercises at the end of chapter are added for student’s practice. Summary is also added for quick review of the chapter. This book is suitable for mathematics and engineering students.
|3. “Nonlinear Systems” by H K Khalil
“Nonlinear Systems” Book Review: This book provides an overview of nonlinear systems. The major chapters covered are second-order systems, fundamental properties, Lyapunov stability and passivity. Other topics included are advanced stability analysis, single perturbations, feedback control and nonlinear design tools. Over 170 exercises are added in this book for student’s practice. Proof of existence and uniqueness of the theorem has been added in the appendix.
|4. “Ordinary Differential Equations” by V I Arnold
“Ordinary Differential Equations” Book Review: This book addresses the core principles of ordinary differential equations. The main chapters involved are phase spaces, vector fields on the line, phase flows, rectification theorem and linear systems. Other topics mentioned are the exponential function, properties of the exponential, the topological classification of singular points and stability of equilibrium positions. Equations and definitions are discussed at length. A total of 272 figures are added to this book for better understanding. This book can be referred to by engineering and mathematics students.
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