Quadratic optimal synchronization of uncertain chaotic systems (Q555493)

The dynamical system \[ \begin{aligned}\dot{x}&= Ax + f(x),\\ \dot{y}&= Ax +f(y)+ Bu(t), \end{aligned} \] where \( A,B \) are the real matrices is considered as a problem of optimal control with function \(f(x)\). The author constructs an algorithm to synchronize this system imposing the several conditions on the \( A, B\), and \(f\).