Improved bounded real lemma for singular Markovian jump delayed systems

In this paper, an improved delay-dependent bounded real lemma (BRL) is developed for singular Markovian jump delayed systems by introducing a new augmented Lyapunov functional approach. The BRL has the advantage that one can make a tradeoff between conservatism and computational cost according to practical conditions. Numerical examples have been provided to illustrate the effectiveness and the reduced conservativeness of the proposed BRL.