|Robust Exponential Passive Filtering for Uncertain Neutral-type Neural Networks with Time-varying Mixed Delays via Wirtinger-based Integral Inequality
Xian Zhang*, XiaoFei Fan, Yu Xue, YanTao Wang, and Wei Cai
International Journal of Control, Automation, and Systems, vol. 15, no. 2, pp.585-594, 2017
Abstract : "This paper is concerned with the problem of the robust exponential passive filter design for uncertain
neutral-type neural networks with time-varying mixed delays. Our aim is to design a Luenberger-type filter for
estimating information about the neuron states, which is required in some applied areas. By constructing an appropriate
Lyapunov-Krasovskii functional and using the Wirtinger-based integral inequality to estimate its derivative,
a delay-range-dependent and delay-rate-dependent criterion is presented to ensure the augmented filtering dynamic
system to be robustly exponentially stable and passive with an expected dissipation. Since the criterion is presented
in the form of linear matrix inequalities with nonlinear constraints, a cone complementarity linearization algorithm
is proposed to determine the filter gain from solution to the nonlinear problem. Finally, a numerical example is
given to demonstrate the effectiveness of the proposed method."
Cone complementarity linearization (CCL), neutral-type neural networks, robust exponential passive filter, time-varying mixed delays, wirtinger-based integral inequality.