New Impulse(Noncausality) Test for Descriptor Systems by Mobius Transformation
Descriptor systems (DSs) are usually used to model very-large-scale integration (VLSI) circuit systems and multibody dynamics macromodeling. The analysis of DSs, however, is much more complicated than linear time-invariant (LTI) systems due to the poles at infinity. M¨obius transformation (MT) provides a way to transform poles at infinity to finite poles and largely facilitates the reuse or adaptation of the standard techniques for LTI system to analyze DSs. Nonetheless, MT is well known in the literature and its potential use is currently less appreciated in the analysis of DSs. This paper gives a new way to the impulse (noncausality) test using the properties of the transformed LTI systems by MT. Moreover, the applications to the analysis of controllability, observability and regularity are given. Numerical examples are included to show the effectiveness of the proposed method.
Impulse Causality Descriptor system (DS) Mobius transformation (MT) Linear time invariant (LTI) system
WANG Qing LAM Edmund Y. WONG Ngai
Department of Electrical and Electronic Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong
国际会议
The 31st Chinese Control Conference(第三十一届中国控制会议)
合肥
英文
2759-2764
2012-07-01（万方平台首次上网日期，不代表论文的发表时间）