Stability analysis of time-varying neutral-type stochastic systems with both discrete and distributed delays. (English) Zbl 1530.93537
Summary: The uniform stability analysis of time-varying neutral-type stochastic systems with both discrete and distributed delays is investigated in this paper. By the method based on Lyapunov function and some inequality techniques, novel stability criteria are obtained to ensure the uniform stability and uniform exponential stability in mean square of the studied system, respectively. The established results are characterized by the fact that the time-derivatives of the constructed Lyapunov function are permissible for sign indefinite. Furthermore, by selecting a specific Lyapunov function, novel explicit stability criteria are given, which is less conservative than the exist results. At last two examples are provided to illustrate the effectiveness and superiority of the proposed theoretical results.
MSC:
| 93E15 | Stochastic stability in control theory |
| 93C43 | Delay control/observation systems |
| 93D30 | Lyapunov and storage functions |
Keywords:
time-varying neutral-type stochastic systems; uniform stability; Lyapunov function; indefinite time-derivative; explicit criteriaReferences:
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