Study of Plans Sustainability of Active Moving Objects Control Systems Application

The paper considers research of the sustainability plans of active moving objects (AMOs) control system application. AMOs are material objects moving in space and carrying out informational, material and energetic interaction with objects, control points and other AMOs. Use of AMOs is usually regulated by strict requirements, so any time delay or incomplete achievement of target effect are unacceptable. The reason of failing to perform a  purpose task can be the development  of control using incorrect plans, so that realization of the plan is unstable due to random factors or targeted effects of the environment and other systems. The paper deals with problematic issues of complex research of active moving objects control application stability plans .  Quantitative and qualitative assessment methods of stability plans , ways and means of ensuring required levels of stability  are proposed by the authors. In this case planning task is considered dynamic, which provides plan correction by means of organizational, structural and program-algorithmic measures to ensure stability. The most adequate model of plan implementation is appropriate system of differential equations. Notion of stability probability is defined  to account stochastic character of disturbance effect . The expression for stability criterion is obtained. It allows to establish the fact of sustainability and unsustainability based on analysis of properties of a purposefully  built Lyapunov function and disturbances characteristics.