Robust stability of discrete-time linear parameter dependent system with delay. (English) Zbl 1238.93077

Summary: We consider the problem of robust stability for a discrete-time linear parameter-dependent system with delay. We use a parameter-dependent Lyapunov function and derive stability conditions in terms of linear matrix inequalities. The new stability condition is more general than some existing results. Numerical examples are presented to illustrate the effectiveness of the theoretical results.


93D09 Robust stability
93C55 Discrete-time control/observation systems