Brockett's problem for systems of nonlinear differential equations with delay

The article adduces the necessary and sufficient conditions to solve the Brokett problem of asymptotic stabilization to zero of solution for the systems of nonlinear differential equations with delay $\frac{dx(t)}{dt}=A(t,x(t-\eta))+B(t)K(t)C(t)x(t), x\in R_n$. Here $B(t)$ and $C(t)$ are the given matrixes, $A(t,x)$ is a given vector-function, $K(t)$ is an unknown stabilization matrix subject to determination.