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

Consider the system ̇x=M(·)x+enu,u=sTx, where M(·)∈Rn×n,s∈Rn, the pair (M·), enis uniformly controlable. The elements ofM(·)are nonlook-ahead functionals ofarbitrary 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 thesquare Lyapunov functionV(x)with constant matrix of special form and number α >0 as estimate for ̇V for case D(·) = 0. The definition of such vectorsand such estimate ofnorm matrix D(·)that system is globally and exponentially stable are performed for every α >0.