Filtering of Discrete-Time Switched Neural Networks Ensuring Exponential Dissipative and $l_{2}$ – $l_{\infty }$ Performances

This paper studies delay-dependent exponential dissipative and $\boldsymbol {l_{2}}$ – $\boldsymbol {l_{\infty }}$ filtering problems for discrete-time switched neural networks (DSNNs) including time-delayed states. By introducing a novel discrete-time inequality, which is a discrete-time version of the continuous-time Wirtinger-type inequality, we establish new sets of linear matrix inequality (LMI) criteria such that discrete-time filtering error systems are exponentially stable with guaranteed performances in the exponential dissipative and $\boldsymbol {l_{2}}$ – $\boldsymbol {l_{\infty }}$ senses. The design of the desired exponential dissipative and $\boldsymbol {l_{2}}$ – $\boldsymbol {l_{\infty }}$ filters for DSNNs can be achieved by solving the proposed sets of LMI conditions. Via numerical simulation results, we show the validity of the desired discrete-time filter design approach.