Description: This book is an introduction to the theory of stability of motion. The principal focus of the book is to present the most effective methods, such as the direct method of Liapunov, stability in the first-order approximation, and frequency methods, which can be used in studying stability issues. Other chapters are devoted to the treatment of nonautonomous systems, systems with periodic coefficients (including Mathieu-Hill equations), automatic control systems, and the effects of force type on stability of motion. These chapters also include relevant theorems which were proved for the first time by the author. The book contains many practical examples with detailed solutions from various areas of science and engineering involving both mechanical and electromechanical systems. Basically, the present book is written for graduate students in engineering; however, the required level of mathematics does not exceed that of a typical engineering undergraduate knowledge in calculus. The book should also benefit educators, engineers, and scientists who use the theory of stability of motion in their work.

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