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On inverse problem of generalized synchronization between different dimensional integer-order and fractional-order chaotic systems

机译：关于不同维整数阶和分数阶混沌系统之间广义同步的逆问题

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摘要

Chaos is described as a unstable dynamic behavior with dependence on initial conditions. The control and synchronization of chaotic systems requires the knowledge of parameters in advance. Recently researcher's has been shifted from integer order chaotic system to fraction order chaotic system. In this work, based on the stability theory of integer-order linear systems and Lyapunov stability theory, we present some control schemes to achieve a new type of synchronization called inverse generalized synchronization between different dimensional integer and fractional-orders chaotic systems. The effectiveness of the proposed approaches are verified by two numerical examples.
机译：混沌被描述为依赖于初始条件的不稳定动态行为。混沌系统的控制和同步需要事先了解参数。最近，研究人员已从整数阶混沌系统转变为分数阶混沌系统。在这项工作中，基于整数阶线性系统的稳定性理论和Lyapunov稳定性理论，我们提出了一些控制方案来实现一种新型的同步，称为不同维整数和分数阶混沌系统之间的逆广义同步。通过两个数值例子验证了所提方法的有效性。

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