The solution to the problem of synthesis of control of multidimensional objects

A method for the synthesis of control systems for multidimensional objects by the gradient-velocity method of Lyapunov vector functions is proposed. The gradient-velocity method of Lyapunov vector functions solves the problem of synthesis of automatic control systems using m-input and n-output parameters of an object directly from the matrix elements of a closed system. Changing the parameters of a controller, that provides specified transient characteristics of a closed system. The basic provisions of the Lyapunov theorem on asymptotic stability and the concept of stability of dynamical systems are used.