Stability Analysis of Large Scale Dynamical Systems Using Computer Generated Lyapunov Functions

컴퓨터 발생 Lyapunov 함수에 의한 대규모 시스템의 안정도 해석

Using the computer-generated Lyapunov functions due to Brayton-tong's constructive algorithm, we estimate the domains of attraction of dynamical systems of the second order, and analyze the asymptotic stability of large scale contincous-time and discrete-time systems by the decomposition and aggregation method. With this approach we get the less conservative stability results than the existing methods.