Smoothing Approximation in Problems of Vector Non-differentiable Optimization of Mechanical and Hydro-mechanical Systems

Problems of multi-criterion optimization of mechanical and hydro-mechanical systems with continuous not everywhere differentiable criterion functions are considered. A linearization method option is offered for problems of vector optimization based on construction of smoothing criteria approximations. Necessary conditions of optimality are formulated. The algorithm convergence is investigated. Numerical examples of solving problems of optimal design of a system of deformable solid bodies and diagnostics of the phase state of a heat carrier in the loop of the reactor facility are presented.