Construction of Lyapunov-Krasovskii functional for time-varying delay systems

This paper provides some new techniques to construct a LyapunovKrasovskii functional for time varying delay systems. The construction is based on a partitioning scheme of the time-varying delay leading to a new type of Lyapunov-Krasovskii functional. This functional is depending on an augmented state and also on an integral quadratic constraint added to reduce the conservatism of the proposed methodology. This approach is then extended to the robust case. Finally, some examples support our approach.

• Type: Conference
• Year: 2008
• Where: CDC
• Authors: Yassine Ariba, Frédéric Gouaisbaut
• Keywords: CDC 2008, Control Systems, Integral Quadratic Constraint, Time Varying Delay, Time-varying Delay