Based on the fuzzy Lyapunov synthesis method proposed by M.

Motion planning of non-holonomic mobile manipulator based on Lyapunov method;

Asymptotic stability analysis and stabilization for generalized systems via Lyapunov methods;

Based on Lyapunov methods, the hierarchical motion planning of free-flying dual-arm space robots for obstacle avoidance is discussed.

With the assumption that the variable parameters are unavailable,a parameter estimate rule and an adaptive learning control law for autonomous rendezvous in the elliptical orbit are designed via Lyapunov methods.

A nonlinear feedback controller, which can globally asymptotically stabilize the closed-loop system, was proposed based on the Lyapunov approach.

Although Lipschitz constants of function matrices and bounds of uncertainties were unknown,the Lyapunov approached guarantees the error system stab.

The Lyapunov approach was utilized to stabilize the observer error dynamics, and new stable conditions were constructed.

The integrated application of the Lyapunov method and feedback linearization method (including the differential method, direct feedback linearization method and backstepping method) with intelligent control methods (including fuzzy control, neural network control) and sliding-mode control, adaptive control, robust control and predictive control are surveyed.

The analysis of dynamic performance of the overall system is performed by using Lyapunov method, which proved that by using the proposed method uniform ultimate boundness of close-lo.

By using the Lyapunov method for linear neutral differential systems with time-varying delays,the problems of determining the global exponential stability and estimating the exponential convergence rate are investigated in this paper.