Abstract

In this paper, we consider the rational approximation of multiple input delay systems. The method of computing Hankel singular values and vectors is firstly introduced, where explicitly shows the structure of the corresponding Hankel singular vectors. Secondly, rational approximants are obtained from output nor- mal relizations, which are constructed by Hankel singular values and vectors. As a result, it is shown that rational approximants by output normal realization preserve intrinsic properties of time delay systems than Pad'e approximants.

Keywords

• Hankel Operator;
• Hankel Singular Value;
• Schmidt Pair;
• Gramian;
• Semi Separable Kernel Function;
• Transcendental Equation;
• Out Nomal Realization;
• Rarional Approximation

• 한켈작용소;
• 한켈특이치;
• 슈미터쌍;
• 그라미안;
• 준부리핵함수;
• 초월방정식;
• 출력정규실현;
• 유리근사화;