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The stability postulate of N. G. Cetaev and the augmented model validation

机译：N.G.Cetaev的稳定性假设和增强模型验证

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摘要

The stability in the sense of Lyapunov turned to be a most important property for equilibria and global trajectories of the dynamical systems. The so-called Stability Postulate of N. G. Cetaev states that only those trajectories and equilibria which are at least stable in the sense of Lyapunov are observable and measurable. On the other hand any mathematical model of some real (physical) process requires validation in order to be self consistent as a mathematical object, also to fit to data obtained from experiments (at least basically). Combining standard validation criteria for self consistency (existence, uniqueness, data dependence) with the Stability Postulate, also with other requirements will lead to the so-called augmented model validation for self consistency i.e. as a mathematical object. Since these new concepts (like the Stability Postulate) define a methodology they have to be checked on applications (as Cetaev did). Therefore, there will be considered a case of energy co-generation described by conservation laws.
机译：Lyapunov意义上的稳定性转身为动态系统的均衡和全局轨迹的最重要的财产。所谓的N.G.Cetaev的稳定性假设指出，只有在Lyapunov意义上至少稳定的那些轨迹和均衡是可观察和可测量的。另一方面，一些真实（物理）过程的任何数学模型需要验证以便自我一致地作为数学对象，也适合从实验（至少基本上）获得的数据。将标准验证标准与稳定性假设的自我一致性（存在，唯一性，数据依赖）相结合，也将导致其他要求将导致自我一致性的所谓的增强模型验证，即作为数学对象。由于这些新概念（如稳定性假设），因此定义了它们必须在申请中检查的方法（作为Cetaev DID）。因此，将被认为是通过保护法描述的能量同代的案例。

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