Research Interests: Professor Chiang's research effort is focused on both theoretical developments and practical applications. Particular areas include nonlinear system theory, nonlinear computations and their practical applications to electric circuits, systems, signals and images. He and his co-workers have developed a comprehensive theory of stability regions for general nonlinear dynamical systems (including continuous, discrete, interconnected, hyperbolic and non-hyperbolic nonlinear systems) and their practical applications. He and his co-workers have developed BCU method and Group-based BCU method for fast direct stability assessments for electric power systems. He has developed a new global optimization methodology, called Trust-Tech methodology and is working with his team on the practical applications of Trust-Tech methodology. He and his group also work on the development of computational methods for nonlinear analysis and control of large-scale systems.