L2-L∞ filtering for neutral stochastic systems with mixed time-delays

This paper is concerned with the problem of L2-L∞ filtering for a class of neutral stochastic systems with both discrete and distributed time delays. By constructing a new Lyapunov-krasovskii functional, some novel delay-dependent exponential stochastic stability criteria are obtained in terms of linear matrix inequalities. In the derivation process, neither model transformation method nor free-weighting matrix approach is used. Based on the obtained stability criterion, the solvability of the L2-L∞ filtering problem is also solved by introducing two appropriate slack matrix variables. Desired L2-L∞ filter is designed such that the resulting filtering error system is mean-square exponential stable and a prescribed L2-L∞ disturbance attenuation level is satisfied. Finally, numerical examples are included to illustrate the effectiveness and the benefits of the proposed method.