Feedback control of Lyapunov exponents for discrete-time dynamical systems
Feedback control of Lyapunov exponents for discrete-time dynamical systems
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DOI：
10.1142/s021812749600076x
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发表时间：
1996-07-01
影响因子：
2.2
通讯作者：
Lai, DJ
中科院分区：
文献类型：
--
作者：
Chen, GR;Lai, DJ
本文提出了一种简单而数学上严格的反馈控制设计方法，对于任何给定的n维动力系统，该方法可以使被控系统的所有李雅普诺夫指数严格为正，该动力系统可以是非混沌的甚至是渐近稳定的.所使用的参数是纯代数的，设计过程完全是示意性的，在整个推导过程中没有使用近似值。这是一个严格而方便的技术，建议作为一种尝试，混沌动力系统的反控制，显式的计算公式推导的应用。
A simple, yet mathematically rigorous feedback control design method is proposed in this paper, which can make all the Lyapunov exponents of the controlled system strictly positive, for any given n-dimensional dynamical system that could be originally nonchaotic or even asymptotically stable. The argument used is purely algebraic and the design procedure is completely schematic, with no approximations used throughout the derivation. This is a rigorous and convenient technique suggested as an attempt for anticontrol of chaotic dynamical systems, with explicit computational formulas derived for applications.