О глобальной ляпуновской приводимости двумерных линейных стационарных управляемых систем

Abstract

Let the stationary system $\dot x=Ax+Bu, x\in\R^2, u\in\R^m$ is totally controllable. Then it possesses the property of global Lyapunov reducibility in class of stationary controls $u=Ux$, that is for any fixed stationary system $\dot y=Cy$ there exists the time-independent matrix $U$, such that the system $\dot x=(A+BU)x$ with this matrix is asymptotically equivalent (kinematically similar) to the above fixed system.