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On the controllability of distributed systems

机译:论分布式系统的可控性

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摘要

To "control" a system is to make it behave (hopefully) according to our "wishes," in a way compatible with safety and ethics, at the least possible cost. The systems considered here are distributed - i.e., governed (modeled) by partial differential equations (PDEs) of evolution. Our "wish" is to drive the system in a given time, by an adequate choice of the controls, from a given initial state to a final given state, which is the target. If this can be achieved (respectively, if we can reach any "neighborhood" of the target) the system, with the controls at our disposal, is exactly (respectively, approx- imately) controllable.
机译:“控制”一个系统,就是使它按照我们的“愿望”(希望)以与安全和道德相兼容的方式(以最低的成本)运行。这里考虑的系统是分布式的-即由演化的偏微分方程(PDE)支配(建模)。我们的“愿望”是通过适当选择控件,在给定的时间内从给定的初始状态到最终的给定状态(即目标)来驱动系统。如果能够做到这一点(分别,如果我们能够达到目标的任何“邻里”),那么系统将是完全可控的(由我们控制)。

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