论文标题
分布式延迟的负反馈回路的指数衰减
Exponential decay for negative feedback loop with distributed delay
论文作者
论文摘要
我们得出了足够的条件，以延迟反馈方程的指数衰减，并具有分布式延迟。条件是根据分布的指数时刻编写的。我们的方法仅使用微积分的基本工具，并且对更复杂的设置，特别是延迟微分方程的系统具有鲁棒性。我们说明了该方法对特定分布的适用性 - Dirac Delta，Gamma分布，均匀和截断的正常分布。
We derive sufficient conditions for exponential decay of solutions of the delay negative feedback equation with distributed delay. The conditions are written in terms of exponential moments of the distribution. Our method only uses elementary tools of calculus and is robust towards possible extensions to more complex settings, in particular, systems of delay differential equations. We illustrate the applicability of the method to particular distributions - Dirac delta, Gamma distribution, uniform and truncated normal distributions.
