SIAM Journal on Control and Optimization, Volume 58, Issue 2, Page 787-813, January 2020.
In the present paper, we consider the synchronization of a pair of deterministic, second-order dynamical systems whose states evolve on a connected Riemannian manifold. The “slave” system has access to the state/momentum pair of the “master” system and is driven by a control vector field designed to make the former system sync in time to the latter. The paper also presents a theoretical analysis of a modified control scheme aimed at limiting the “control efforts” needed to achieve synchronization. An alternative version of the equations is also introduced that represents the case that the master system's state is observable under additive-exponential disturbances.

中文翻译：

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实连通黎曼流形上二阶连续时间动力系统同步的控制理论方法

SIAM控制与优化杂志，第58卷，第2期，第787-813页，2020
年1月。在本文中，我们考虑一对状态在连接的黎曼流形上演化的确定性二阶动力学系统的同步。“从”系统可以访问“主”系统的状态/动量对，并由控制向量字段驱动，该向量设计为使前者系统及时与后者同步。本文还对旨在限制实现同步所需的“控制努力”的改进控制方案进行了理论分析。还引入了方程的另一种形式，表示在加法-指数扰动下可观察到主系统状态的情况。