Abstract
If a linear time-invariant system is uncontrollable, then the state space can be decomposed as a direct sum of a controllable subspace and an uncontrollable subspace. In this paper, for a class of discrete-time bilinear systems which are uncontrollable but can be nearly controllable, by studying the nearly-controllable subspaces and defining the near-controllability index, the controllability properties of the systems are fully characterized. Examples are provided to illustrate the conceptions and results of the paper.
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This research was supported by the China Postdoctoral Science Foundation funded project under Grant Nos. 2011M500216, 2012T50035, and the National Nature Science Foundation of China under Grant Nos. 61203231, 61273141.
This paper was recommended for publication by Editor ZHANG Jifeng.
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Tie, L. On nearly-controllable subspaces of a class of discrete-time bilinear systems. J Syst Sci Complex 26, 512–526 (2013). https://doi.org/10.1007/s11424-013-2012-x
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DOI: https://doi.org/10.1007/s11424-013-2012-x