Title :
On the uniqueness problem of Lyapunov matrices: a system with distributed delay
Author :
Chashnikov, Mikhail
Author_Institution :
St.-Petersburg State Univ., St. Petersburg, Russia
Abstract :
The construction of Lyapunov-Krasovskii functionals for a linear time-delay system depends on so-called Lyapunov matrices. These matrices satisfy a system of matrix delay equation with specific boundary conditions. We study the problem of uniqueness of this system´s solution.
Keywords :
Lyapunov matrix equations; delays; Lyapunov matrices; Lyapunov-Krasovskii functionals; distributed delay; linear time-delay system; Boundary conditions; Control systems; Delay effects; Delay systems; Equations; Lyapunov method; Mathematics; Process control; Stability analysis;
Conference_Titel :
Control Applications, (CCA) & Intelligent Control, (ISIC), 2009 IEEE
Conference_Location :
Saint Petersburg
Print_ISBN :
978-1-4244-4601-8
Electronic_ISBN :
978-1-4244-4602-5
DOI :
10.1109/CCA.2009.5281036
