Ebook: Practical stability of nonlinear systems

An interesting and fruitful technique that has gained increasing significance and has given decisive impetus for modern development of stability theory of differential equations is the second method of Lyapunov. A manifest advantage of this method is that it does not require the knowledge of solutions and therefore has great power in applications. It is now well recognized that the concept of Lyapunov-like function and the theory of differential and integral inequalities can be utilized to investigate qualitative and quantitative properties of nonlinear differential equations.