Discretized Lyapunov functional for systems with distributed delay

Keqin Gu (1) , Albert Luo (1) , Silviu-Iulian Niculescu (2)

1 Department of Mechanical and Industrial Engineering
2 Heudiasyc - Heuristique et Diagnostic des Systèmes Complexes [Compiègne]

The stability problem for systems with distributed delay is considered using discretized Lyapunov functional. The distributed delay is assumed to be piecewise constant, and the discretization mesh may be nonuniform. The resulting stability criteria are written in the form of linear matrix inequality. The basic idea can be extended to more general setting with more involved formulation.

Domaines: Sciences de l'ingénieur [physics]

Keqin Gu, Albert Luo, Silviu-Iulian Niculescu. Discretized Lyapunov functional for systems with distributed delay. 1999 European Control Conference (ECC), Aug 1999, Karlsruhe, Germany. pp.3649-3654, ⟨10.23919/ECC.1999.7099897⟩. ⟨hal-02304348⟩