Abstract
In the studies of singular systems regularity is often presumed although it may not be satisfied in some real cases. Therefore, natural questions are: What is the difference between regularity and irregularity? How far can we go from regularity to irregularity in the studies of singular systems? This paper partially answers these questions. The results show that the concepts of reachability, controllability, and observability for regular systems can be easily extended to irregular cases. There is minor difference between regular and irregular singular systems. Thus the assumption of regularity is reasonable.
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Dai, L. The difference between regularity and irregularity in singular systems. Circuits Systems and Signal Process 8, 435–444 (1989). https://doi.org/10.1007/BF01599765
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DOI: https://doi.org/10.1007/BF01599765