Research on Relation betwenn Equilibrium and Lyapunov′s Motion Stability;

Then the nonlinear transient model of stator field oriented control for doubly-fed generator is obtained,and the transient stability of the system is proposed by using the Lyapunov first and second methods.

This paper analyzes the robust stability of variable delayed Cohen-grossberg neural network by the Lyapunov stability theory and linear matrix inequality(LMI) and obtains the sufficient conditions of discriminating global robust stability.

In this paper,through monthly precipitation time series of four reservoir control basins in north-east area,saturated correlation dimension and largest Lyapunov exponent are computed by reconstruction of state space.

An approach, which forces a unified chaotic system to the expected point by analytically designing the controller to collocate the Lyapunov exponents, has been proposed.

The spatiotemoral behaviors of smoke-plume are numerically simulated by adjusting different non-linear parameters, with the corresponding Lyapunov exponents considered.

The Lyapunov exponent of the healthy group s HRV is different from that of the arrhythmia group s HRV.

An improved algorithm for largest Lyapunov exponent was put forward for rapid identification of chaos in traffic flow.

Based on the common disturbed motion equation of projectiles, Liapunov functionV(X)=XH eX in plural number mode is constituted with the help of Hermite matrix H e and Liapunov s direct method.

Furthermore,according to the method of Liapunov functions in the stability theory,both the globally asymptotic stability and the attractive regions of the nonnegative equilibrium in the model are discussed.

It is discussed that the methods of discrimination of the stability of the singular point of nonlinear autonomous system by using of eigenvalue,center manifold and Liapunov function.