TY - JOUR N2 - 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. L1 - http://www.czasopisma.pan.pl/Content/114628/PDF/ACS-2019-4-6.pdf L2 - http://www.czasopisma.pan.pl/Content/114628 PY - 2019 IS - No 4 EP - 686 DO - 10.24425/acs.2019.131231 KW - time-delay system KW - Lyapunov matrix KW - Lyapunov functional A1 - Duda, Jozef PB - Committee of Automatic Control and Robotics PAS VL - vol. 29 DA - 2019.11.28 T1 - The parametric optimization of a system with two delays and a PI controller SP - 667 UR - http://www.czasopisma.pan.pl/dlibra/publication/edition/114628 T2 - Archives of Control Sciences ER -