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不确定参数的合非线性振荡器的反控制
1Department of Electrical & Systems Engineering, Washington University in St. Louis, St. Louis, MO, 63130, USA.
概括
我们开发了一种新的反控制方法, 这种方法可用于工程和生物学中的可靠同步.
科学领域:
- 动态系统和控制理论
- 非线性动力学
- 计算神经科学
背景情况:
- 控制合振荡器中的同步对于自然和工程系统至关重要.
- 应用包括电网,机器人和神经科学.
- 在实现所需的同步模式方面,模型的不确定性构成了重大挑战.
研究的目的:
- 在不确定的振荡器对中设计反控制规律以实现特定的同步结构.
- 应对相应曲线和振荡频率的不确定性所带来的挑战.
- 提供适用于简单阶段模型和复杂生物物理神经元模型的方法.
主要方法:
- 使用系统动态的周期性来设计切换输入.
- 通过解决具有不等式约束的凸二次数程序来确定切换输入参数.
- 导出用于相内和反相同步的分析反表达式.
主要成果:
- 成功证明了振荡器同步的反规律的设计.
- 为特定的同步模式 (在相位,反相位) 导出分析解决方案.
- 在抽象阶段模型和复杂的尖端神经元模型上验证了该方法.
结论:
- 建议的切换反策略有效控制不确定振荡器系统中的同步模式.
- 该方法具有多功能性,适用于各种类型和复杂度的振荡器.
- 这项工作为设计不同科学和工程领域的同步系统提供了强有力的方法.
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