Stabilization of time-delay systems through linear differential equations using a descriptor representation

Alexandre Seuret (1) , Karl Henrik Johansson (2)

1 NECS - Networked Controlled Systems
2 Automatic Control Group [Lund]

In this article, a new method to assess stability and to design static state feedback controller for linear timedelay systems is introduced. The method based on linear differential equations allows considering explicit Lyapunov-Krasovskii functionals with non constant matrix parameters. The stability conditions considering constant delays are delaydependent and expressed using easy computable linear matrix inequalities. An example is introduced to show the efficiency of the stabilization criteria.

Domaines: Systèmes dynamiques [math.DS]

Alexandre Seuret, Karl Henrik Johansson. Stabilization of time-delay systems through linear differential equations using a descriptor representation. ECC 2009 - European Control Conference, Aug 2009, Budapest, Hungary. ⟨inria-00391311⟩