title: Admissibility analysis for discrete-time singular systems with randomly occurring uncertainties via delay-divisioning approach.
abstract: 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.
authors.affiliation: Department of Mathematics, Gandhigram Rural Institute - Deemed University, Gandhigram 624302, Tamil Nadu, India.
authors.forename: L
authors.initials: L
authors.lastname: Jarina Banu
authors.affiliation: Department of Mathematics, Gandhigram Rural Institute - Deemed University, Gandhigram 624302, Tamil Nadu, India. Electronic address: balugru@gmail.com.
authors.forename: P
authors.initials: P
authors.lastname: Balasubramaniam
keywords: Discrete-time singular system; Linear matrix inequality; Lyapunov–Krasovskii functional; Randomly occurring uncertainties; Time-delay