Research of Stability of Integral Variety for Perturbation of Constraints with Constant Coefficients

The method of constructing of mathematical model of dynamics of operated mechanical system is offered. The algorithm of updating of the equations of dynamics which allows to solve a problem of stabilization of communications is under construction and to provide demanded accuracy of the numerical decision of corresponding system of the differential-algebraic equations describing imposed on communication system, its kinematics and dynamics. The offered method can be used for research of dynamics of systems of the various physical nature.

устойчивость системы, возмущение связей, уравнения возмущения, интегральное многообразие, динамика системы, стабилизация связей, диссипативная функция, асимптотическая устойчивость