This volume presents an up-to-date account of stability theory with particular emphasis on stability domains. It includes new Lyapunov methodology for nonlinear systems and the fundamental basis of the theory of dynamical systems.

Stability Domains is an up-to-date account of stability theory with particular emphasis on stability domains. Beyond the fundamental basis of the theory of dynamical systems, it includes a recent developments in the classical Lyapunov stability concept, practical stabiliy properties, and new Lyapunov methodology for nonlinear systems. It also introduces classical Lyapunov and practical stability theory for time-invariant nonlinear systems in general, and for complex (interconnected, large scale) nonlinear dynamical systems in particular. This is a complete treatment of the theory of stability domains useful for postgraduates and researchers working in this area of applied mathematics and engineering.