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朱莉亚集的超越交替系统的自适应反同步
Varthini Ravikumar1, Pulak Konar2
1Department of Mathematics, School of Advanced Sciences, VIT University - Chennai Campus, Kelambakkam Road, Vandalur, 600127, Tamil Nadu, India.
Scientific reports
|February 9, 2026
概括
这项研究介绍了一种适应性控制策略,用于超越交替的朱莉亚集中的反同步. 该方法确保稳定性和快速融合,即使是未知的系统参数.
科学领域:
- 复杂的动力学 复杂的动力学
- 非线性系统理论 非线性系统理论
- 计算数学 计算数学 计算数学
背景情况:
- 朱莉亚设置在超越映射下展示复杂的动态.
- 反同步是合非线性系统的一个关键现象.
- 适应性控制对于具有参数不确定性的系统至关重要.
研究的目的:
- 开发一种适应性控制策略,用于超越交替的朱莉亚集中的反同步.
- 用于解决既有已知参数和未知参数的系统.
- 分析拟议的控制方法的稳定性和计算效率.
主要方法:
- 使用基于共弦值的超越映射用于交替函数生成.
- 设计具有参数估计更新规律的自适应控制器.
- 执行稳定性分析以保证错误的趋同.
- 进行数值模拟,包括平均代数 (ANI) 和时间分析.
主要成果:
- 证明了反同步错误的快速收.
- 实现了对未知的超越运算子系数的准确估计.
- 通过数值模拟验证了自适应控制策略的有效性.
- 提供了对融合动态和计算效率的见解.
结论:
- 拟议的自适应控制策略有效地实现了超越交替的朱莉亚集中的反同步.
- 该方法提高了系统的稳定性和性能,特别是在存在参数不确定性的情况下.
- 数字分析证实了控制系统的效率和稳定性.
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