|Finite-time H∞ Boundedness of Discrete-time Neural Networks Normbounded Disturbances with Time-varying Delay
M. Syed Ali*, K. Meenakshi, and N. Gunasekaran
International Journal of Control, Automation, and Systems, vol. 15, no. 6, pp.2681-2689, 2017
Abstract : "The problem of finite-time H∞ performance of discrete time neural network with norm-bounded disturbances
and time varying delays is studied in this paper. By constructing a delay-dependent Lyapunov-Krasovskii
functional and using a two-term approximation of the time-varying delay, sufficient conditions of finite-time stability
are derived and expressed in terms of linear matrix inequalities (LMIs). The derived stability conditions can
be applied into analyzing the finite-time stability and deriving the maximally tolerable delay. Comparision with
the existing results given to show that, the derived stability conditions are less conservative. Finally, numerical
examples are provided to illustrate the effectiveness of the proposed method."
Discrete time delay, finite-time H∞ control, linear matrix inequality.