对于高度非线性随机马尔科夫跳跃系统的有限时间稳定性和稳定性
1The College of Intelligent Manufacturing and Control Engineering, Shandong Institute of Petroleum and Chemical Technology, Dongying 257061, PR China.
ISA transactions
|March 25, 2025
概括
本研究涉及高度非线性随机马尔科夫跳跃系统 (HNSMJS) 的有限时间稳定性 (FTS). 它引入了新的标准和一个异步控制器,用于mth瞬间有限时间稳定 (m-MFT稳定),将结果扩展到时间变化的延迟.
科学领域:
- 控制理论 控制理论 控制理论
- 随机系统 随机系统是指随机系统.
- 非线性动力学是一种非线性动力学.
背景情况:
- 有限时间稳定性 (FTS) 研究主要针对线性和非线性系统,对高度非线性系统的研究有限.
- 现有的FTS方法,通常使用Lyapunov函数,对Lyapunov函数特征和跨系统模式的扩散运算符施加限制性约束.
- 这限制了为复杂系统选择合适的利亚普诺夫函数的灵活性.
研究的目的:
- 研究高度非线性随机马尔科夫跳跃系统 (HNSMJS) 的有限时间稳定性 (FTS) 和异步控制.
- 为 mth 时刻有限时间稳定 (m-MFTS) 制定较少限制的标准,并为 mth 时刻有限时间稳定 (m-MFT 稳定) 设计一个异步控制器.
- 通过将分析从确定性时间延迟扩展到HNSMJS的时间变化延迟来概括现有结果.
主要方法:
- 在利阿普诺夫函数和参数形式中开发了m-MFTS (m-MFTS) 的新标准.
- 一个异步控制器的设计,以实现 HNSMJS 的 m-MFT 稳定 (m-MFT 稳定).
- 将稳定性分析扩展到具有不同时间延迟的系统,提供更普遍的结果.
主要成果:
- 该研究提出了适用于高度非线性随机马尔科夫跳跃系统 (HNSMJSs) 的m-MFTS的新标准.
- 建议使用一种有效的异步控制器,以确保m-MFT稳定 (m-MFT稳定).
- 这项研究将稳定性分析扩展到具有不同时间延迟的HNSMJS,提供了更全面的框架.
结论:
- 开发的标准和异步控制策略有效地解决了高度非线性随机系统中的有限时间稳定性挑战.
- 拟议的方法减轻了对Lyapunov功能和传播运营商的先前限制性条件.
- 将时间延迟变化的概括提高了HNSMJSs的发现的适用性和稳定性.
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