Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic and Finite-time Cluster Synchronization of Neural Networks
  via Two Different Controllers   In this paper, by using pinning impulse controller and hybrid controller
respectively, the research difficulties of asymptotic synchronization and
finite time cluster synchronization of time-varying delayed neural networks are
studied. On the ground of Lyapunov stability theorem and Lyapunov-Razumikhin
method, a novel sufficient criterion on asymptotic cluster synchronization of
time-varying delayed neural networks is obtained. Utilizing Finite time
stability theorem and hybrid control technology, a sufficient criterion on
finite-time cluster synchronization is also obtained. In order to deal with
time-varying delay and save control cost, pinning pulse control is introduced
to promote the realization of asymptotic cluster synchronization. Following the
idea of pinning control scheme, we design a progressive hybrid control to
promote the realization of finite time cluster synchronization. Finally, an
example is given to illustrate the theoretical results.

7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org