论文标题

通过半张量产品方法和布尔微积分在布尔网络上的控制系统

Control System on Boolean Networks through Semi Tensor Product Approach and Boolean Calculus

论文作者

Mazumdar, Souma

论文摘要

我们已经考虑了一个布尔控制网络,在该网络中,状态进化方程取决于函数相对于对照的过去状态,控制和第一个衍生物。总方法是矩阵半张量产品和逻辑运算符和逻辑方程的有效使用。我们在考虑衍生术语以发挥影响国家的作用时获得了一个绝对的新结果。我们已经通过一个示例讨论了可控性,以及最佳控制及其在控制理论中的重要性。

We have considered a Boolean control network where the state evolution equations depend on past states, controls and first derivatives of a function with respect to controls. Total approach has been the efficient use of matrix semi tensor product and logical operators and logical equations. We have obtained a absolutely new result in considering the derivative terms to play a role to influence the states. We have discussed about controllability with an example and also optimal control and its significance in control theory.

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