A method for approximate construction of the boundary of attainability domain is developed for a class of nonsmooth controlled dynamical systems on the plane that arise in economics. The method is based on an explicit procedure for smoothing the system and using the apparatus of the Pontryagin maximum principle. As an example, we consider the problem of constructing the boundary of the attainability domain for a controlled version of the well-known Kaldor’s model of business cycle.
Keywords:
control system, attainability domain, Pontryagin’s maximum principle, numerical methods, Kaldor’s model of business cycle
