id: 05632689
dt: j
an: 05632689
au: Balasubramaniam, P.; Lakshmanan, S.
ti: Delay-range dependent stability criteria for neural networks with Markovian
    jumping parameters.
so: Nonlinear Anal., Hybrid Syst. 3, No. 4, 749-756 (2009).
py: 2009
pu: Elsevier, Oxford
la: EN
cc: 
ut: delay/interval-dependent stability; linear matrix inequality;
    Lyapunov-Krasovskii functional; Markovian jumping parameters; Hopfield
    neural networks
ci: 
li: doi:10.1016/j.nahs.2009.06.012
ab: Summary: The paper is concerned with a stability analysis problem for
    neural networks with Markovian jumping parameters. The jumping
    parameters considered here are generated from a continuous-time
    discrete-state homogeneous Markov process, which are governed by a
    Markov process with discrete and finite state space. A new type of
    Markovian jumping matrix $P_i$ is introduced in this paper. The
    discrete delays are assumed to be time-varying and belong to a given
    interval, which means that the lower and upper bounds of interval
    time-varying delays are available. Based on the new Lyapunov-Krasovskii
    functional, delay-interval dependent stability criteria are obtained in
    terms of Linear Matrix Inequalities (LMIs). Finally, a numerical
    example is provided to demonstrate the lower conservatism and the
    effectiveness of the proposed LMI conditions.
rv: