论文信息 - Lyapunov matrices approach to the parametric optimization of a time delay system with a PI controller

Lyapunov matrices approach to the parametric optimization of a time delay system with a PI controller

In the paper a Lyapunov matrices approach to the parametric optimization problem of a time delay system with a PI-controller is presented. The value of a quadratic performance index of quality is equal to the value of the Lyapunov functional at the initial state of a time delay system. The Lyapunov functional is determined by means of the Lyapunov matrix.

Józef Duda

[1] Vladimir L. Kharitonov,et al. On the uniqueness of Lyapunov matrices for a time-delay system , 2012, Syst. Control. Lett..

[2] Jozef Duda. Lyapunov matrices approach to the parametric optimization of time-delay systems , 2015 .

[4] Vladimir L. Kharitonov,et al. Lyapunov matrices for time delay systems , 2005, 2005 2nd International Conference on Electrical and Electronics Engineering.

[5] Vladimir L. Kharitonov,et al. Lyapunov functionals and matrices , 2010, Annu. Rev. Control..

[6] Józef Duda. A Lyapunov functional for a system with a time-varying delay , 2012, Int. J. Appl. Math. Comput. Sci..

[8] Vladimir L. Kharitonov. Lyapunov matrices for a class of neutral type time delay systems , 2006 .

[10] Vladimir L. Kharitonov. Lyapunov-Krasovskii functionals for scalar time delay equations , 2004, Syst. Control. Lett..

[12] Jean-Michel Dion,et al. Robust stability of neutral systems: a Lyapunov‐Krasovskii constructive approach , 2004 .

[13] Józef Duda. A Lyapunov functional for a neutral system with a distributed time delay , 2016, Math. Comput. Simul..

[14] Vladimir L. Kharitonov,et al. Lyapunov-Krasovskii approach to the robust stability analysis of time-delay systems , 2003, Autom..

[15] Iu M Repin. Quadratic liapunov functionals for systems with delay , 1965 .