@misc{Sulikowski_Bartłomiej_Computational, author={Sulikowski, Bartłomiej}, howpublished={online}, language={eng}, abstract={The main goal of the dissertation was to develop and test the methodology which would allow to solve the complicated numerical problems which appear in cases when the analysis/synthesis tasks are solved. For the considered subclass of dynamical systems i.e. Linear Repetitive Processes those obstacles come from the fact that either the existing theoretical conditions are practically unsolvable (the test is based on checking the infinite number of possibilities) or the resulting numerical problems have high dimensions. To overcome aforementioned obstacles Linear Matrix Inequalities (LMIs) have been applied. The application of LMIs allows to use very effective numerical algorithms to solve the considered problems. However the use of LMIs alone in many cases (especially for the high dimensional problems) does not provide the appropriate solution for the considered problem. The dissertation contains the obtained results of the stated problems for considered class of dynamical systems.}, title={Computational aspects in analysis and synthesisof repetitive processes = Aspekty obliczeniowe analizy i syntezy procesów powtarzalnych}, type={rozprawa doktorska}, keywords={informatyka, optymalizacja wypukła, liniowe procesy powtarzalne, analiza, synteza, obliczenia równoległe, obliczenia numeryczne}, }