Methods of designing discrete-continuous man-machine systems

Models and methods for computer-aided design of functioning process of human-machine systems (FP HMS) based on the functional-structural theory and generalized structural method of prof. A.I. Gubinsky are considered. An approach to integrating FP HMS optimization problem models with simulation modeling and hybrid models (continuous behavior) is given. Use of explicit numerical methods with improved regions of stability and with accuracy and stability control for simulation of stiff hybrid systems is proposed.