Dissipativity analysis for a class of discrete-time neutral stochastic nonlinear systems with time delay. (English) Zbl 1471.93274
Summary: This paper focuses on the problem of dissipativity analysis for a class of discrete-time neutral stochastic nonlinear systems (DTNSNSs) with time delay and parameter uncertainties. Different from the existing results on this topic of neutral system, a kind of discretizing the neutral system is considered. Firstly, a sufficient condition of the dissipativity, which is dependent on the solution of the Lyapunov-Krasovskii technique and linear matrix inequalities (LMIs), is established. Moreover, the state-feedback controller is designed to guarantee the dissipative performance of the closed-loop system. The effectiveness of the theoretical results is finally demonstrated by a numerical example.
MSC:
| 93E15 | Stochastic stability in control theory |
| 93B36 | \(H^\infty\)-control |
| 34K50 | Stochastic functional-differential equations |
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