In this paper, we establish this theory of linear matrix equation AX = B(XA=B) , where the A is mxn matrix, the X is nxs ( sx m ) unknown matrix, and the B is mxs (sxn) matrix, like the theory of the systems of linear equsation.

Estimation of unknown parameter in It stochastic differential equation;

Comparing them to affirm the correctness,we can get unknown parameter though simulation of MATLAB.

This work develops a design approach to nonlinear adaptive control system with unknown parameters and applies it to excitation control of power systems.

Nonlinear adaptive observer design without a priori knowledge on the unknown parameters;

The problem of robust adaptive tracking for a class of uncertain nonlinear systems with linear unknown parameters and unmodeled dynamics is discussed.

Secondly,a single new adaptive controller is designed and the analytical expression of controller and adaptive law of unknown parameters are given based on Lyapunov stability theory.

Generalized projective synchronization of different orders of chaotic systems with unknown parameters

Form the point of practical application, in this paper, we study chaos synchronization of complex Duffing system, lag synchronization of chaotic system with unknown parameters and generalized synchronization of different order of chaotic systems with unknown paramete.

About linear empirical Bayes estimates of the parametric matrix;