Stability and robust stability of integral delay systems

In this paper we consider a special class of integral delay systems arising in several stability problems of time-delay systems. For these integral systems we derive stability and robust stability conditions in terms of LyapunovKrasovskii functionals. More explicitly, after providing the stability conditions we compute quadratic functionals and apply them to derive exponential estimates for solutions, and robust stability conditions for perturbed integral delay systems.

• Type: Conference
• Year: 2008
• Where: CDC
• Authors: Daniel Alejandro Melchor-Aguilar, Vladimir Kharitonov, Rogelio Lozano
• Keywords: CDC 2008, Control Systems, Integral Delay Systems, Robust Stability Conditions, Stability Problems