The objective of the conference is to bring together mathematicians, physicists and engineers to present and discuss recent developments in the area of mathematical control methods, modelling and nonsmoth optimization. The conference scope includes the following areas: the design tools of nonsmooth analysis, nonsmooth problems of variational calculus and control theory, nonsmooth mechanics problem, nondifferentional optimization, nonsmooth analysis applications, mathematical modeling, mathematical problems of diagnostics, methods of game theory, nonlinear Chebyshev approximation and optimization.