实际意义下n-D单边矩阵方程有解的充要条件
NECESSARY AND SUFFICIENT SOLVABILITY CONDITIONS OF ND UNILATERAL MATRIX EQUATION IN PRACTICAL SENSE
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摘要: 本文在讨论n-D矩阵方程求解条件的基础上,针对由Agathoklis等人提出的具有实际意义的n维(n-D)离散系统,给出了判定n-D矩阵方程是否有解的充要条件,并给出了判定系统是否具有实际意义稳定性的方法,以算例加以说明.Abstract: In the light of n-D discrete systems in the practical sense which was introduced by Agathoklis in 1983,we first discuss the solvable condition of n-D unilateral matrix equations.Simple and constructive necessary and sufficient solvability conditions are derived.A new method to determine the stability of a n-D discrete systems in practical sense is presented. All the obtained result is illustrated by a example of 2-D systems.