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

4. Positive semi - definite matrices are positive definite if and only if they are nonsingular.

5. If a symmetrical matrix is positive definite, the determinants of all its minors are also positive.

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

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

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

9. 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.

10. This paper deals with the positive definite real square matrices. Some necessary and sufficient conditions for a real square matrix to be positive definite are given.

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

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

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

14. The paper gives a number of methods for differentiating half positive definite quadratic form and some relevant properties in respect to half positive definite corresponding coefficient matrix.

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

16. A method for getting the values of the unknown parameters of the semiparametric model is given under the principle of penalized least squares with a positive definite regular matrix.

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

18. The stable condition of networks is analyzed by using the positive definite properties of Hermitianmatrix. The simple method of removing parasitic oscillation is found out.

19. 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.

20. This paper proves some Hadamard inequalities from the qualities of positive definite quadratic form.

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

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

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

24. In this paper,(sentencedict.com) we give a general spectral resolution of real matrix and some properties eigenvalue of a general positive definite real matrix.

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

26. The Control for chaotic synchronization is directly designed based on lyapunov's direct method by choosing a positive definite lyapunov function.

27. The pair correlation functions obtained in this paper are positive definite and satisfy the normalization condition.

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