MIMO nonlinear system

Model description: 

$$\begin{align*} y_{1}(k+1) &=0.9y_{1}(k)-0.3y_{1}(k-1)/[1+y_{2}^{2}(k-1)]+0.7u_{1}(k) \\ &+0.1y_{1}^{2}(k-1)y_{2}^{2}(k)+0.3\sin(u_{1}(k-1))-0.7u_{2}(k)+0.6u_{2}(k-1) \\ y_{2}(k+1) &=-0.1y_{2}(k-1)+0.3y_{1}(k-1)y_{2}(k)+0.8\sin(u_{1}(k)) \\ &+0.1u_{1}(k-1)+0.9u_{2}(k)+0.2u_{2}(k-1)+0.1u_{2}^{2}(k-1) \end{align*}$$

Type: 

Form: 

Time domain: 

Linearity: 

Publication details: 

TitleStable adaptive neural network control of MIMO nonaffine nonlinear discrete-time systems
Publication TypeConference Paper
AuthorsZhai, Lianfei, Chai Tianyou, Yang Chenguang, Ge S.S, and Lee Tong Heng