Abstract— Terminal invariance sufficient conditions for nonlinear dynamical stochastic controllable systems of diffusion-jump type are proposed. These conditions have no analogues in the world literature. Both perturbation invariance conditions (for a fixed initial point) and absolute invariance conditions (ensuring that the terminal criterion takes a constant value for any initial data) are formulated.

中文翻译：

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跳跃扩散的终端不变性

摘要— 提出了扩散跳跃型非线性动力随机可控系统的终端不变性充分条件。这些条件在世界文学中没有类似物。扰动不变性条件（对于固定的初始点）和绝对不变性条件（确保终端标准对任何初始数据取恒定值）都被公式化。