This study represents a first attempt to derive a closed-form (Hankel-norm) optimal solution for multivariable system reduction problems. The major contribution lies in the development of a minimal-degree-approximation theorem and an efficient computation algorithm. The main theorem describes a closed-form formulation for the optimal approximants, with the optimality verified by a complete error analysis. Many useful singular value and vector properties associated with block Hankel matrices are also explored. The main algorithm consists of three steps: (i) compute the right matrix-fraction-description of an adjoint system matrix, (ii) solve a (algebraic) Riccati-type equation, and (iii) find the partial fraction expansion of a rational matrix.
|頁（從 - 到）||187-194|
|出版狀態||Published - 12月 1980|
|事件||19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes - Albuquerque, United States|
持續時間: 10 12月 1980 → 12 12月 1980