Abstract
The problem of stabilizability of 2-D singular systems is considered, a necessary and sufficient condition in terms of the existence of a polynomial solution to a Bezout identity has been generalized from 2-D regular systems to the singular case. The BIBO stability condition has been extended to 2-D singular systems. The detectability of 2-D singular system is further discussed, an equivalent condition is obtained. At last it is shown that 2-D singular system is internally stable if and only if it is BIBO stable, detectable and stabilizable.
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Wang, W., Zou, Y. The Stabilizability and Connections between Internal and BIBO Stability of 2-D Singular Systems. Multidimensional Systems and Signal Processing 15, 37–50 (2004). https://doi.org/10.1023/B:MULT.0000003930.53696.1b
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DOI: https://doi.org/10.1023/B:MULT.0000003930.53696.1b