Stabilization of differently structured hybrid neutral stochastic systems by delay feedback control under highly nonlinear condition. (English) Zbl 1507.93247
Summary: This paper mainly studies the stabilization of differently structured highly nonlinear hybrid neutral stochastic systems by delay feedback control. Based on the existing works, our new neutral type stochastic system has completely different highly nonlinear structures in switching subspaces, which is more general and applicable. When such a system is given unstable, we focus on studying the asymptotic and exponential stability criteria by designing a feedback control with a time delay for the underlying system. A simulating example is shown to illustrate the feasibility of these results.
MSC:
| 93E15 | Stochastic stability in control theory |
| 93D15 | Stabilization of systems by feedback |
| 93D20 | Asymptotic stability in control theory |
| 93D23 | Exponential stability |
| 93C30 | Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) |
| 93C43 | Delay control/observation systems |
| 93C10 | Nonlinear systems in control theory |
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