Dissipativity analysis of singular systems with Markovian jump parameters and mode-dependent mixed time-delays

In this paper, the problem of delay-dependent α-dissipativityα-dissipativity analysis is investigated for a general class of singular systems with Markovian jump parameters and mode-dependent mixed time-delays. By using the novel Lyapunov–Krasovskii functional and stochastic analysis technology, the new criteria are derived to guarantee that the addressed singular systems are stochastically admissible and strictly (Q,R,S)-α-dissipative(Q,R,S)-α-dissipative. Numerical examples are presented to illustrate the effectiveness and less conservativeness of the proposed theoretical results.