Control of Singular Markovian Jump Systems with Time-Delay

This paper focuses on analysing a new model transformation for singular Markovian jump systems (MJS) with time-varying delay and applies it to stochastic stability analysis and state feedback controller design. Firstly, a comparison model is introduced by employing a two-term approximation of time-varying delays. Then, the parameter-dependent Lyapunov-Krasovskii function is constructed to analyse the stochastic stability of this comparison model, further more based on the scaled small gain theorem, the novel stability criteria with less conservativeness is proposed in terms of linear matrix inequalities. Finally, the desired state feedback controller can be obtained via the above proposed technique.