Here is the listing of Best reference books on Nonlinear Dynamical Systems.
|1. “Hyperstability of Control Systems” by V. M. Popov
Book Review: The book describes liapunov’s second method which provides accurate conclusions about the stability of well defined systems. The second method introduces the concept of absolute stability. The results of various experiments conducted in the field of absolute stability are presented with the help of monographs. The book also discuss the systems that describe nonlinear blocks. The book also discusses the study of absolute stability in finding a criterion that simultaneously secures that stability of all other systems.
|2. “Nonlinear Systems Analysis” by M. Vidyasagar
Book Review: The book demonstrates various advancements in the application of differential geometric methods to nonlinear analysis. The book also provides mathematical analysis of the behaviour of nonlinear control systems in various situations. The book illustrates nonlinear generalizations of various methods and techniques that are employed in linear control theory. The topics covered in the book include lyapunov stability, input output stability and treatment of differential geometric control theory. The book contains numerous problems that tests the understanding of the readers.
|3. “Linear Differential Equations with Periodic Coefficients” by Y. A. Yakubovitch and V. M. Starzhinskii|
Sanfoundry Global Education & Learning Series – Best Reference Books!