Stabilization of some classes of uncertain control systems with evaluation of admissible disturation for object matrix

Consider the system $\dot{x} = M(·)x + e_{n}u$, $u = s^{T}x$, where $M(·) \in R^{n \times n}$, $s \in R^n$, the pair $M(·)$, $e_n$ is uniformly controlable. The elements of $M(·)$ are nonlook-ahead functionals of arbitrary nature. The object matrix is considering in form $M(·) = A(·) + D(·)$, where $A(·)$ has a form of globalized Frobenious matrix, $D(·)$ is a matrix of disturbation. Consider the square Lyapunov function $V(x)$ with constant matrix of special form and number $\alpha > 0$ as estimate for $\dot{V}$ for case $D(·) = 0$. The definition of such vector $s$ and such estimate of norm matrix $D(·)$ that system is globally and exponentially stable are performed for every $\alpha > 0$.