DEVELOPMENT OF INFORMATION SYSTEM TGHEORY VIA POLYNOMIAL MATRIX ALGEBRA : A CONTROL ENGINEERING APPROACH

1)将一种数值稳定的计算方法递归或分解应用于多项式矩阵分数，从而构造了一种连续时间MIMO情况下模型参考自适应控制系统的新方案。从条件数的角度来看，这种方法优于传统的递归最小二乘法，因此适合于计算机处理。2)利用基于线性矩阵不等式的数值优化方法，给出了一种鲁棒稳定性分析方法，并推广了现有的设计鲁棒/最优控制的多项式方法。此外，我们还将该方法应用于飞行控制问题。结果表明，我们的多项式矩阵方法与美国航空航天研究所的特征结构分配方法有着密切的联系。3)在信息系统理论方面，我们利用运筹学领域中广为人知的排队理论，对WDM环网的GMPLS光路配置进行了性能评价。我们还提出了一种简单的小区调度方法，用于减少ATM-ABR业务的应用级抖动。4)我们发现将多项式矩阵方法推广到GF(2)领域有几个困难，这是本研究的最终目标之一。因此，我们将继续为此目的作出努力。

1) We have applied the recursive OR factorization, which is known as a numerically stable computational method, to polynomial matrix fraction, thereby constructing a new scheme for Model Reference Adaptive Control System for the continuous-time MIMO case. This is superior to the conventional recursive least square method from a conditional number point of view, and hence is suitable for computer process.2) We have given a method for robust stability analysis by means of a numerical optimization method based upon Linear Matrix Inequality, and generalized an existing polynomial method for designing robust/optimal control. Furthermore, we have applied this method to a flight control problem. Then it has turned out that our polynomial matrix method has a close relationship to what is called eigenstructure assignment method in the American Institute of Aerospace and Aeronautics.3) Concerning information system theory, we have done performance evaluation of light-path configuration with GMPLS for WDM ring networks by means of queueing theory, which is widely known in the area of operations research. We have also proposed a simple cell scheduling method for application level jitter reduction over ATM-ABR service.4) We have found several difficulties in extending our polynomial matrix method to the GF(2) field, which is one of the final goals of this research. We are thus continuing our effort toward this end.