Groupe d’études et de recherche en analyse des décisions


Robust Stability and Stabilizability of Jump Linear Uncertain System with Time-Delay


This report deals with the class of uncertain dynamical systems with Markov jumps and time-delay. The problems of robust stability and stabilizability are considered and some sufficient conditions are developed. Both delay-dependent and delay independent conditions are proposed. Different types of control law are studied. The case of mode delay dependent is also considered. Many numerical examples are treated to show the usefulness of the proposed results.

, 59 pages