Mastering the theoretical and practical fundamentals of nonlinear optimization in static and dynamic systems.

Acquired knowledge can be used in solving the specific engineering problems, and it also represents the basis for taking other professional courses.

Formulation of the optimization problem. Theoretical bases for static optimization. Analytical determination of extremes, functions with one or more variables without limitations. Analytical determination of extremes, functions with one or more variables with limitations, equality and inequality types. Linear programming. Numerical solving of one-dimensional problems. Numerical solving of multi-dimensional problems with and without limitations. Bases of variation calculation. Direct methods of variation calculations. Optimal control, Pontryagin`s maximum principle, dynamic programming, linear regulators. Numerical methods for dynamic optimization. Contemporary optimization procedures: genetic algorithm, simulation of hardening. Application of optimization methods in feeding artificial neural networks and in systems with dissolved logic. Examples of optimizations of concrete engineering problems.

Lectures; numerical – computing practice, computer practice; laboratory practice, consultations. The examination is written and oral. Written part of the examination consists of at least 4 tasks. Condition for passing the examination is that each of the tasks has to be done with at least 50% of success.