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The wide class of controlled nonlinear non stationary systems of ordinary differential equations taking into account external perturbation is considered. An algorithm for constructing a discrete control function that guarantees the transfer of the systems from the initial state to the origin is proposed. A constructive sufficient condition, in which the specified translation is possible is obtained. [ABSTRACT FROM AUTHOR]

The paper presents an algorithm for constructing a programmed control function. This algorithm provides the transfer from initial state to the zero-point and can be applied to a wide class of nonlinear stationary systems of ordinary differential equations. It is sufficiently convenient for numerical implementation. We obtain a constructive Kalman type criterion that guarantees the existence of a solution of the considered problem. Besides we obtain a constructive condition for the choice of initial state for which the transfer is possible with regard of the constraints imposed on the control. As a model example a problem of single-link manipulator control is presented. [ABSTRACT FROM AUTHOR]

The paper presents an algorithm for constructing of synthesizing control function. This algorithm is sufficiently convenient for numerical implementation and a wide class of nonlinear nonstationary systems of ordinary differential equations, provide the passage from initial state into to origin coordinates. We obtain a constructive condition for the choice of initial state for which the passage is possible with regard of the constraints imposed on the control. We consider an problem of control of single manipulator, for which we carry numerical simulation. [ABSTRACT FROM AUTHOR]

The paper presents an algorithm for constructing of synthesizing control function. This algorithm is sufficiently convenient for numerical implementation and a wide class of nonlinear stationary systems of ordinary differential equations, provide the passage from initial state into to origin coordinates. We obtain a constructive condition for the choice of initial state for which the passage is possible with regard of the constraints imposed on the control. We consider an interorbital flight problem, for which we carry numerical simulation. [ABSTRACT FROM AUTHOR]

By constructing a Luenberger-type asymptotic observer, a method of finding the control function, that ensures the translation of a class of nonlinear stationary control systems of ordinary differential equations from the initial state to a given final state taking into account the actual measured values, was developed. A constructive criterion guaranteeing the existence of solution of this problem was found. An algorithm is proposed for constructing a control function that transfer wide class of nonlinear systems of ordinary differential equations from an initial state to an fixed state. The algorithm is convenient for numerical implementation. A constructive condition is obtained for which this transfer is possible. [ABSTRACT FROM AUTHOR]

An algorithm is proposed for constructing a control function that transfer wide class of nonlinear systems of ordinary differential equations from an initial state to an fixed state. The algorithm is convenient for numerical implementation. A constructive condition is obtained for which this transfer is possible. [ABSTRACT FROM AUTHOR]