Dynamical analysis of fuzzy BAM neural networks with variable delays (Q1937929)

The authors investigate fuzzy bidirectional associated memory (BAM) neural networks with variable delays modeled by the system \[ \begin{multlined} x'_{1i}(t)=-d_{1i}x_{1i}(t)+\bigwedge\limits_{j=1}^m\alpha_{2ji}f_{2j}(x_{2j}(t-\tau_{2j}(t)))+\bigwedge\limits_{j=1}^mT_{2ji}u_{2j}(t)+ \\ +I_{1i}(t)+\bigvee\limits_{j=1}^m\beta_{2ji}f_{2j}(x_{2j}(t-\tau_{2j}(t)))+\bigvee\limits_{j=1}^mH_{2ji}u_{2j}(t),\end{multlined} \] \[ \begin{multlined} x'_{2j}(t)=-d_{2j}x_{2j}(t)+\bigwedge\limits_{i=1}^n\alpha_{1ij}f_{1i}(x_{1i}(t-\tau_{1i}(t)))+\bigwedge\limits_{i=1}^nT_{1ij}u_{1i}(t)+\\+I_{2j}(t)+\bigvee\limits_{i=1}^n\beta_{1ij}f_{1i}(x_{1i}(t-\tau_{1i}(t)))+\bigvee\limits_{i=1}^nH_{1ij}u_{1i}(t),\end{multlined} \] where \(i=1,2,\dotsc,n;\) \(j=1,2,\dotsc,m,\) and obtain some sufficient conditions for the existence and exponential stability of periodic solutions when the system is periodic and bounded.