Admissibility analysis for discrete-time singular systems with randomly occurring uncertainties via delay-divisioning approach

- This paper investigates stochastic stability problem for discrete-time singular systems with time-varying delays.
- Based on Lyapunov-Krasovskii functional method, sufficient conditions ensuring the stability are given in terms of linear matrix inequalities.
- Less conservative results are obtained through delay-divisioning approach.
- Numerical simulations are exploited to illustrate the applicability and conservatism of the developed theoretical results.

This paper deals with the problem of admissibility analysis for discrete-time singular system with time-delays. The uncertainties occurring in the system parameters are assumed to be random. By constructing Lyapunov functional, sufficient delay-dependent stochastic admissibility conditions are established via delay divisioning approach in terms of linear matrix inequalities (LMIs), which can be easily checked by utilizing the numerically efficient Matlab LMI toolbox. Numerical examples and their simulation results are given to illustrate the effectiveness of the obtained theoretical results.