Stabilization via delay feedback for highly nonlinear stochastic time-varying delay systems with Markovian switching and Poisson jump
Stabilization via delay feedback for highly nonlinear stochastic time-varying delay systems with Markovian switching and Poisson jump
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DOI：
10.14232/ejqtde.2022.1.49
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发表时间：
2022
期刊：
影响因子：
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通讯作者：
Guangjie Li;Zhipei Hu;F. Deng;Huiyan Zhang
中科院分区：
文献类型：
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作者：
Guangjie Li;Zhipei Hu;F. Deng;Huiyan Zhang
关于具有马尔可夫切换和泊松跳跃的高度非线性随机时变时滞系统的镇定结果，我们所知的工作似乎很少。本文研究了一类具有马尔可夫切换和泊松跳跃的STVDS的镇定问题。这类系统的系数不满足传统的线性增长条件，但具有高度的非线性。本文的目的是设计一种时滞反馈控制器，使一类具有马尔可夫切换和泊松跳跃H的不稳定高度非线性STVDS系统∞稳定和渐近稳定。此外，还给出了一个算例来支持理论结果。
Little work seems to be known about stabilization results of highly nonlinear stochastic time-varying delay systems (STVDSs) with Markovian switching and Poisson jump. This paper is concerned with the stabilization problem for a class of STVDSs with Markovian switching and Poisson jump. The coefficients of such systems do not satisfy the conventional linear growth conditions, but are subject to high nonlinearity. The aim of this paper is to design a delay feedback controller to make an unstable highly nonlinear STVDSs with Markovian switching and Poisson jump H ∞ -stable and asymptotically stable. Besides, an illustrative example is provided to support the theoretical results.