We introduce a Lyapunov function for the dynamics of memristive circuits, and compare the effectiveness of memristors in minimizing the function to widely used optimization software. We study in particular three classes of problems which can be directly embedded in a circuit topology, and show that memristors effectively attempt at (quickly) extremizing these functionals.

中文翻译：

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用于优化任务的全模拟忆阻电路：比较

我们为忆阻电路的动力学引入了李雅普诺夫函数，并将忆阻器在最小化函数方面的有效性与广泛使用的优化软件进行了比较。我们特别研究了可以直接嵌入到电路拓扑中的三类问题，并表明忆阻器有效地尝试（快速）极端化这些功能。