Study of plans sustainability of active moving objects control systems application

The paper considers research of the plans stability 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 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 plans stability, 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 methods 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 stability and unstability based on analysis of properties of a purposefully built Lyapunov function and disturbances characteristics.
Developed technique of plans stability quantitative assessment is based on forecast of possible amount of AMOs frustrated control procedures and additionally duration of process control cycles. For solution of the problem of choosing stability rational ways, a flexible fuzzy convolution is applied. It’s caused by the lack of additivity property of subjective experts assessments. An example of multifunctional AMOs control points plans stability criterion is provided. Quantitative assessments of stability plans in conditions of disturbance effects are obtained. An example of defining priority of ways of stability provision is considered.