大系统平衡块对角优分解

为了实现大系统的并行处理，大系统的分解总是希望分配给各处理器的任务量是均衡的即分解后的子系统要有平衡的结构（或维数尽量接近），因此，在系统平衡块三角分解的基础上，利用非平衡补偿方法使系统状态方程的系数左阵具有块对角优型，使系统模型简化的结果更为理想。系统平衡对角优分解方法通过实例仿真证明是可行的，并为大系统分散控制的分析与设计提供了新的系统模型简化的手段。

Balanced Block Diagonally Dominant Decomposition of Large-Scale Systems

For a parallel processes implementation of large-scale systems, a balance of the processor burdens distributed by the decomposition of large-scale systems is always hoped, that is, the subsystems should have balanced structures after decompositions (or the dimensions of subsystems are similar). Based on the system balanced block triangle decomposition, a coefficient matrix of system state equations can be of block diagonally dominant by using imbalanced compensating scheme; and therefore, the result of system model simplifications is ideal. It is proved that the given balanced block diagonally dominant decomposition of systems is feasible by the simulations, which presents a new system model simplifying method for the analysis and design of large-scale system decentralized controls.