α-Dissipativity analysis of singular time-delay systems

In this paper, the problem of delay-dependent α -dissipativity analysis is investigated for continuous-time singular systems with time-delay. Using the delay partitioning technique, sufficient conditions are established in terms of linear matrix inequalities (LMIs), which guarantees a singular system to be admissible and strictly ( Q , S , R ) - α -dissipative. In addition to delay dependence, the obtained results are also dependent on the parameter α . Moreover, the results of H ∞ performance analysis and passivity analysis are unified from the dissipative analysis results. The results developed in this paper are less conservative than existing ones in the literature, which are illustrated by several examples.