The stability of linear mechanical systems with finite numbers of degrees of freedom subjected to potential and non-conservative positional forces is considered. The positive semi-definiteness of the potential energy is assumed. Three new stability criteria which are in a simple way related to the properties of the system matrices are derived. These criteria improve previously obtained results of the same type. Several simple examples are given to illustrate the correctness and applicability of the obtained results.

中文翻译：

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非保守位置力作用下势能系统的稳定性

考虑具有有限数量的自由度的线性机械系统的稳定性，该线性机械系统受到势力和非保守位置力的影响。假定势能为正半定性。推导了三个新的稳定性准则，这些准则以简单的方式与系统矩阵的属性有关。这些标准改善了以前获得的相同类型的结果。给出几个简单的例子来说明所获得结果的正确性和适用性。