有限状态变系数离散系统的稳定性检验

STABILITY TEST FOR FINITE STATE VARIANT COEFFICIENTS’ DISCRETE SYSTEMS

提出了系统参数独立于系统节拍变化的有限状态变系数离散系统模型、稳定性检验定理及稳定性检验的快速算法．这类系统的稳定的充分必要条件是其传递函数的分母多项式为有限Ｓｃｈｕｒ多项式簇．提出了改进的变系数Ｓｃｈｕｒ检验表，使系统的稳定性检验过程简化，计算量大为减少。

The paper proposes the model,stability test theorems and their fast algorithm for the discrete systems with finite state variant coefficients which vary independently with the system's clock.The necessary and sufficient condition for stability of this kind of systems is that the denominator polynomials of their transfer functions are finite Schur polynomial family.The stability test procedure has been simplified by improved Schur test table with variant coefficients,and the computation amount has been reduced and can be completed by finite computations