论文标题
部分可观测时空混沌系统的无模型预测
Modulo periodic Poisson stable solutions of dynamic equations on a time scale
论文作者
论文摘要
研究了在周期性时间尺度上模量定期泊松稳定解决方案的存在，唯一性和渐近稳定性。所研究的模型涉及通过泊松稳定序列构建的术语。提供了针对泊松稳定的新颖定义以及Modulo周期性的泊松稳定功能，并使用时间尺度上的稳定功能，并利用对冲动微分方程系统的减少技术来实现主要结果。提供了一个确认理论结果的示例。
The existence, uniqueness, and asymptotic stability of modulo periodic Poisson stable solutions of dynamic equations on a periodic time scale are investigated. The model under investigation involves a term which is constructed via a Poisson stable sequence. Novel definitions for Poisson stable as well as modulo periodic Poisson stable functions on time scales are provided, and the reduction technique to systems of impulsive differential equations is utilized to achieve the main result. An example which confirms the theoretical results is provided.
