Control of The Final State of Fuzzy Dynamical Systems

Abstract

The paper considers the problem of controlling the final state of dynamic systems characterized by classical fuzzy relations. The solution of the problem is reduced to solving a functional equation of the Bellman equation type. On the basis of modern methods of the general theory of dynamical systems, the asymptotic properties of the solutions of the obtained functional equation are studied. The problem of the existence and construction of a suboptimal autonomous control law with feedback is studied.