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arXiv 0912.4902math-phmath.MPnlin.CD
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利用混沌同步识别未知系统的时滞和不连续点

Identification of delays and discontinuity points of unknown systems by using synchronization of chaos

Francesco Sorrentino

摘要:

在本文中,我们提出了一种方法,其中混沌同步用于解决识别问题。特别是,我们能够识别:(i)分段动力学方程描述的系统的不连续点和(ii)延迟微分方程描述的系统的延迟。时滞和不连续性是自然和人造系统动力学的普遍特征。本文的首要目标是提出一个通用的和灵活的方法,可用于各种各样的识别问题。

英文摘要:

In this paper we present an approach in which synchronization of chaos is used to address identification problems. In particular, we are able to identify: (i) the discontinuity points of systems described by piecewise dynamical equations and (ii) the delays of systems described by delay differential equations. Delays and discontinuities are widespread features of the dynamics of both natural and manmade systems. The foremost goal of the paper is to present a general and flexible methodology that can be used in a broad variety of identification problems.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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