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9OMA Optimization and Mathematical Aspects of Process Control

course grade year semester branch


doc. RNDr. Jindřich Klapka, CSc.


The objective of the course is to make PhD students familiar with basics of mathematical process theory in connection with formalized description and optimisation of processes. They will learn how to analyse and propose of the policy of the optimal decision and optimal control of important controllable processes including the project management processes. Students will be made familiar with methods, approaches and algorithms, based on the Bellman principle of optimality and Pontryagin principle of maximum, they will learn the method of formulation and solution of the optimal control problems. Solution of the problems occurring by the processes discrete as well as continuous, deterministic as well as stochastic, and by the fuzzy processes. Also discussed is an application of higher forms of the optimisation methods (e. g. quasiconvex programming) and the branch and bound method. Sensitivity analysis of the optimisation problems. Students will be made familiar with basics of gradient and heuristic methods including modern heuristics. In the lessons it shall be employed too, the methods and software systems, created in within the framework of grants, presented on the international forum abroad.

More information: 9OMA