Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Near-controllability, Nearly-controllable Subspaces, and
  Near-controllability Index of a Class of Discrete-time Bilinear Systems: A
  Root Locus Approach   This paper studies near-controllability of a class of discrete-time bilinear
systems via a root locus approach. A necessary and sufficient criterion for the
systems to be nearly controllable is given. In particular, by using the root
locus approach, the control inputs which achieve the state transition for the
nearly controllable systems can be computed. Furthermore, for the non-nearly
controllable systems, nearly-controllable subspaces are derived and
near-controllability index is defined. Accordingly, the controllability
properties of such class of discrete-time bilinear systems are fully
characterized. Finally, examples are provided to demonstrate the results of the
paper.

35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
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The categories of this paper are: alg-geom
2
The categories of this paper are: math
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex