id: 06021852
dt: j
an: 06021852
au: Balasubramaniam, P.; Kalpana, M.; Rakkiyappan, R.
ti: Existence and global asymptotic stability of fuzzy cellular neural networks
    with time delay in the leakage term and unbounded distributed delays.
so: Circuits Syst. Signal Process. 30, No. 6, 1595-1616 (2011).
py: 2011
pu: Birkhäuser Boston Inc. (Springer), Boston, MA
la: EN
cc: 
ut: global asymptotic stability; fuzzy cellular neural networks; leakage delay;
    unbounded distributed delays; linear matrix inequality; homeomorphism
    mapping
ci: 
li: doi:10.1007/s00034-011-9288-7
ab: Summary: Fuzzy Cellular Neural Network (FCNN) structures are based on the
    uncertainties in human cognitive processes and in modeling neural
    systems, and they provide an interface between a human expert and
    classical cellular neural networks (CNNs). In this paper, an existence
    and global asymptotic stability analysis of the equilibrium point of
    FCNNs with time delay in the leakage term and unbounded distributed
    delays is investigated. Based on the Lyapunov-Krasovskii functional
    with free-weighting matrix, and using the homeomorphism mapping
    principle and Linear Matrix Inequalities (LMIs), a new set of stability
    criteria for FCNNs is obtained with time delay in the leakage term,
    time-varying delays and unbounded distributed delays. The proposed
    results can be easily checked via the LMI Control Toolbox in MATLAB.
    Moreover, it is well known that the stability behavior of FCNNs is very
    sensitive to the time delay in the leakage term. In the absence of the
    leakage term, a new stability criterion is also derived by employing a
    Lyapunov-Krasovskii functional using an LMI approach. Numerical
    examples are provided to illustrate the effectiveness and reduced
    conservativeness of the developed techniques.
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