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

1)我们已经应用递归或因式分解，这是一个数值稳定的计算方法，多项式矩阵的分数，从而构造一个新的计划模型参考自适应控制系统的连续时间MIMO的情况。从条件数的观点来看，这比传统的递推最小二乘法有上级的优点，因而更适合于计算机处理。2）我们给出了一种基于线性矩阵不等式的数值优化方法来分析鲁棒稳定性的方法，推广了已有的设计鲁棒/最优控制的多项式方法。此外，我们已将此方法应用于飞行控制问题。3）在信息系统理论方面，我们利用运筹学中广泛应用的嵌入理论对WDM环网中GMPLS光路配置进行了性能评估。我们还提出了一种简单的信元调度方法，用于减少ATM-ABR业务上的应用级抖动。4）我们发现将多项式矩阵方法扩展到GF（2）域时存在一些困难，这是本研究的最终目标之一。因此，我们正在为此目的继续努力。

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.