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 constraints. Analytical determination of extremes, functions with one or more variables with constraints, equality and inequality types. Linear programming. Numerical solving of one-dimensional problems. Numerical solving of multi-dimensional problems with and without constraints. Basics of calculus of variation. Contemporary optimization procedures: genetic algorithm, particle swarm optimization. Application of optimization methods in artificial neural networks and in fuzzy-logic based systems. Examples of optimization in practical engineering problems in geodesy and geoinformatics.

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 the tasks have to be done with at least 50% of success.