On the Construction of Differential Equations of Systems with Program Constraints

Abstract: A method for constructing differential equations directly fromknown constraint equations is proposed. The introduction of stableprogram constraints makes it possible to establish conditions forthe asymptotic stability of the corresponding integral manifoldand ensure the constraint stabilization. An algorithm for solvingthe problem of stabilization of integrals of equations of motionof a rigid body with a fixed point is presented. © Pleiades Publishing, Ltd. 2024.