Delay-dependent stability for uncertain discrete-time systems with time-varying delay by a piecewise analysis approach

The stability of uncertain discrete-time systems with time-varying delay is studied. The uncertain parameters are in linear fractional form. Based on a piecewise analysis approach, the time-delay interval is divided into several subsections. By defining a novel Lyapunov functional, the less conservative stability criteria are proposed in terms of linear matrix inequalities. Numerical examples are given to show that the results are effective.