A COMPUTATIONALLY ATTRACTIVE SYSTEM MODEL USING A NOVEL ONE-SIDED TRANSFORMATION

A new representation for systems' dynamic equations is introduced. Fir st, the Householder QR factorization is used to decompose the system m atrix. The result is then used to transform the original system model into a specially structured representation via a one-sided transformat ion. Next, the structural properties of this representation are develo ped. Then, an example is given to numerically verify the proposed meth od. Finally, some potential advantages of using such representation, w ith regard to computational cost and error, in control system analysis and design is discussed.