论文标题
部分可观测时空混沌系统的无模型预测
Energy cost of dynamical stabilization: stored versus dissipated energy
论文作者
论文摘要
动态稳定过程（体内平衡）本质上是无处不在的，但是它们存在所需的能量资源并未系统地研究。在这里，我们使用著名的Kapitza钟摆进行了这样的研究，该模型在经典和量子控制的背景下引起了人们的关注。该模型被广泛化并自主。我们表明，摩擦和存储的能量可以稳定摆的上部（通常不稳定）状态。可以使上部状态渐近稳定，但不需要任何恒定的能量耗散，只需要瞬态能量耗散。在单个扰动下的渐近稳定性并不意味着相对于多种扰动。对于一系列的摆控制器相互作用，还存在一个稳定恒定能量耗散的制度。研究了几种动态稳定状态衰减的机制。
Dynamical stabilization processes (homeostasis) are ubiquitous in nature, but energetic resources needed for their existence were not studied systematically. Here we undertake such a study using the famous model of Kapitza's pendulum, which attracted attention in the context of classical and quantum control. This model is generalized and made autonomous. We show that friction and stored energy stabilize the upper (normally unstable) state of the pendulum. The upper state can be made asymptotically stable and yet it does not cost any constant dissipation of energy, only a transient energy dissipation is needed. The asymptotic stability under a single perturbation does not imply stability with respect to multiple perturbations. For a range of pendulum-controller interactions, there is also a regime where constant energy dissipation is needed for stabilization. Several mechanisms are studied for the decay of dynamically stabilized states.
