Abstract
In this paper, the conjecture proposed by Zou and Campbell [Multidimensional Systems and Signal Processing, no. 11, 2000, pp. 321–338] on the internal stability for 2-D linear discrete systems is proven. It reveals that the internal stability is only dependent on the asymptotic property of the system states. This is very significant for the simplification of the definition of internal stability and hence to make it more comprehensible.
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References
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Cai, C., wang, W. & Zou, Y. A Note on the Internal Stability for 2-D Singular Discrete Systems. Multidimensional Systems and Signal Processing 15, 197–204 (2004). https://doi.org/10.1023/B:MULT.0000017025.77423.7f
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DOI: https://doi.org/10.1023/B:MULT.0000017025.77423.7f