Synthesis of optimal control in a mathematical model of economic growth under R&D investments
Ivan A. Yegorov, Alexander S. Bratus, Yancho V. Todorov · Applied Mathematical Sciences · 2015
Even for suciently simple single-input control-ane systems without state constraints the subject of analytical and qualitative investigation of global optimal control synthesis is developed rather poorly in the literature on optimal control theory and its applications. The aim of this work is to present numerical-analytical and qualitative methods to construct global optimal control synthesis with reference to a nonlinear mathematical model describing interactions between the production of a company, its technology stock and R&D investments on a xed time in