Fuzzy two-point boundary value problems in mathematical modeling and control. Part 1. Fuzzy mathematical modeling

Methods are considered of solving fuzzy boundary value problems for second-order differential equations. Part 1 presents the fuzzy Laplace transform and fuzzy variational-iterative method for fuzzy mathematical modeling tasks solving, part 2 – fuzzy initial method and fuzzy Galerkin method of fuzzy control problems optimization. Methods listed are demonstrated on examples. In particular, the fuzzy problems are solved of fuzzy integral functional unconditional extremum and of periodic modes calculation in a fuzzy search system of automatic optimization with the extremum storing. Conclusion the findings are given and some relevant fuzzy tasks are listed of gyroscopy, of fuzzy aircraft control of aerodynamic and space craft, which can be solved with the methods considered.