New delay-dependent bounded real lemmas of polytopic uncertain singular Markov jump systems with time delays

作者：Wang Jing; Park Ju H^*; Shen Hao

来源：Journal of the Franklin Institute, 2014, 351(3): 1673-1690.

DOI：10.1016/j.jfranklin.2013.12.004

This paper addresses the H-infinity performance analysis problem for singular Markov jump delayed systems with polyhedral parameter uncertainties. By introducing two useful inequalities (see Lemma 2), some new bounded real lemmas (BRLs) are obtained based on a novel parameter-dependent Lyapunov functional. The presented BRLs can guarantee that the considered system is stochastically admissible and satisfies a prescribed H-infinity performance level. Two numerical examples are provided to demonstrate the improvement of the proposed method over the existing methods.

• 出版日期2014-3
• 单位安徽工业大学