| Stability theory is concerned with the state of differential equation when time approach infinity. Not only in research, the stability plays an important role, but also in natural science, engineering, environment and socio-economic, it has broad application.Following results are obtained: Firstly, we introduce the related knowledge of Lyapunov stability and practical stability, and discuss the relationship between them. Secondly, the robust stability of a dynamical interval system was studied by Lyapunov method. Thirdly, decision method of practical stability for discrete equations and differential equations are established by vector Lyapunov function, differential-difference comparison principle and monotonicity criterion. The example and the graph was draw by Maple software to show the result is easy to implement.At last, under Lyapunov stabilities, combine with Alvarado electricity market, the stability of electricity market was discuss in the base of theories. |
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