1. When a common positive definite matrix can not be found to design fuzzy model-based controller, the improved adaptive reconfigurable control scheme based on fuzzy model and neural network is proposed.

2. Positive definite matrix occupies a very important position in matrix theory, and has great value in practice.

3. A unified simple condition for stable matrix, positive definite matrix and M matrix is presented in this paper.

4. Moreover, the condition is also sufficient if the positive definite matrix is included in this set.

5. General solutions of above inverse problem in positive definite matrix and in orthogonal matrix are given here by using factorization method of matrix.

6. Based on the definitions of generalized positive definite matrix, a further study of it is made in the present paper, and several new results are obtained as a consequence.

7. And then the eigenvalue problem of integral equation is transformed into the standard eigenvalue problem of a positive definite matrix with infinite order.

8. This paper presents a sufficient and necessary conditions for generalized positive definite matrix, its relation with complete main positive matrix.

9. The method can guarantee global stability without searching a common positive definite matrix.

10. Gave a sufficient condition of determination a real symmetry matrix into a positive definite matrix, and the promotion of the conclusions.

11. In this paper, we discuss properties of positive definite complex matrix, and the relation between it and the Hermite positive definite matrix.

12. Some sufficient conditions for a matrix to be a positive definite matrix are given. The criteria are simple and feasible.

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13. To In this paper, the definition of complex generalized positive definite matrix is given, its fundamental properties are studied, and its equivalent characteristics are established.

14. It wishes to find a new way for normative research into the concept of generalized positive definite matrix .

15. In this paper, some important inequalities on norm of determinent of complex positive definite matrix and its Schur complement are obtained.

16. Aim To solve question about the existence and uniqueness of the solution for linear complementary by using generalized positive definite matrix.

17. In this paper, we'll give another simple method to seek normal orthogonal basis by using the properties of positive definite matrix.

18. Results linear complementary problem have unique solution when M is generalized positive definite matrix.