The control system models with the turnpike solutions in the optimal control problems

It is proposed one of approaches to constructing of complex dynamic system's mathematical model on the base of linear on control model's class. Turnpike solutions are typical for this models when optimal control problem are investigated. The approximate turnpike solutions are used as a first approximation in multistage specification procedure, both the model and the solution of optimization problem. Effectiveness of such approach is shown on an applied modeling and research problem of social-ecology-economic region system. (in Russian)