Delay-dependent robust stabilization for uncertain neutral systems with distributed delays

The problems of robust stability and robust stabilization of uncertain neutral systems with distributed delays are studied in this paper. Using a combination of integral inequality technique and descriptor system approach, new delay-dependent sufficient conditions for robust stability and robust stabilization are formulated in terms of linear matrix inequalities (LMIs). LMI-based conditions are also derived for robust stability and robust stabilizability of uncertain distributed-delay systems when the distributed delay belongs to a given interval. When the results obtained in this paper are applied to stabilization of combustion in the chamber of a liquid monopropellant rocket motor, it is found that the combustion can be robustly stabilized over larger variation intervals of pressure parameter and time-delay parameter than those obtained in Zheng and Frank [(2002). Robust control of uncertain distributed delay systems with application to the stabilization of combustion in rocket motor chambers. Automatica, 38, 487–497].