For the adaptive system which is desigaed by means of Liyaprof and Bobof s stable theories, by cboosing suitable adaptive law, the nonlinear stability analysis could be done in the quasi-linear or linear range and Laos and Kurewse s stable criterion ould be adoped to make the system have a better robustness.

It makes adaptive system with strong ability of disturbance-rejection possible and practible when the varying ranges about the plant parameters are not known.

The design of controller is the key to the discrete adaptive system of internal mold control(IMC).

Afterwards,using Lure-Postnikov Lyapunov function,a sufficient condition via linear matrix inequations was deduced,which guaranteed closed-loop switched system was bounded model reference adaptive control system.

The rules of interactions among agents were studied using complex adaptive system(CAS) theory and an agent-based modeling method.

Aimed at solving the integration of data, knowledge and model, a new model and design idea of IDSS based on the theory of complex adaptive system(CAS)are proposed, which applied the principle of CAS and the view of self-organization.

Application of adaptive fuzzy system to fault auto-diagnosis in dam safety monitoring;

The universal approximation ability of adaptive fuzzy system was used to approximate the nonlinear function in missile dynamics equation during the flight of high angle of attack.

When the faults and external disturbances exist in the system,an adaptive fuzzy system(AFS) is constructed to track the faults,and robust fault diagnosis is proposed in this paper.