@ARTICLE{Duda_Jozef_The_2019, author={Duda, Jozef}, volume={vol. 29}, number={No 4}, journal={Archives of Control Sciences}, pages={667-686}, howpublished={online}, year={2019}, publisher={Committee of Automatic Control and Robotics PAS}, abstract={In the paper a Lyapunov matrices approach to the parametric optimization problem of a time-delay system with two commensurate delays and a PI-controller is presented. The value of integral quadratic performance index is equal to the value of the Lyapunov functional for the initial function of the time-delay system. The Lyapunov functional is determined by means of the Lyapunov matrix. In the paper is presented the example of a scalar system with two delays and a PI controller.}, type={Artykuły / Articles}, title={The parametric optimization of a system with two delays and a PI controller}, URL={http://journals.pan.pl/Content/114628/PDF/ACS-2019-4-6.pdf}, doi={10.24425/acs.2019.131231}, keywords={time-delay system, Lyapunov matrix, Lyapunov functional}, }