Delay-dependent passivity for singular Markov jump systems with time-delays

In this paper, the problem of delay-dependent passivity analysis is studied for the singular Markov jump systems with time-varying/time-invariant delays. By use of the delay partitioning method, two delay-dependent passivity conditions are derived for the considered systems via two novel Lyapunov functionals including mode-dependent double integral terms. Some stochastic stability criteria are also given. All the results reported in this paper not only depend upon the time-delays, but also depend upon their partitioning, which aims at reducing the conservatism. Four numerical examples are proposed to show that the methods proposed here are less conservative than the existing ones thanks to the usage of the delay partitioning method and novel Lyapunov functionals.