Aiming at this situation,satellite motion was described by nonsingular orbit elements and the corresponding impulsive control model for a near round reference satellite formation is derived.

In this paper,we firstly characterize the form of transformation T which preserves both minimal rank and a nonsingular bilinear function from Mn(F) to itself when n≥3.

In this paper we study the nonsingular discrete Dirichlet boundary value problem for the second-order differential systems one-dimension P-Laplacian,we prove the existence of solutions for these BVPs by using the Leray-Schauder nonlinear alternative theorem and Schauder cone fixed-point theorem.

The definition of the nonsingularity is presented based on analyzing digital discrete chaotic sequence.

Based on the kernel estimating theory of nonlinear semiparametric models under the least-square principle,this paper proves the nonsingularity of coefficient matrix of normal equation in least-square estimator of non-linear semiparametric models under certain condition.

The new nonsingularity criteria of matrices and the equivalent representation of M-matrices are presented in this paper.

This paper presents the necessary and sufficient conditions for the nonsingularity of feedback shift registers on the q element finite field, and shows the necessary and sufficient conditions for the nonsingularity of feedback shift registers on q=3,4,5 with the theory of the Groebner basis.