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首页> 外文期刊>International Journal of Intelligent Computing and Cybernetics >Delay-independent stabilization of nonlinear systems with multiple time-delays and its application in chaos synchronization of Rossler system
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Delay-independent stabilization of nonlinear systems with multiple time-delays and its application in chaos synchronization of Rossler system

机译：多时滞非线性系统的时滞无关镇定及其在Rossler系统混沌同步中的应用

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Purpose - The purpose of this paper is with delay-independent stabilization of nonlinear systems with multiple time-delays and its application in chaos synchronization of Rossler system. Design/methodology/approach - Based on linear matrix inequality and algebra Riccati matrix equation, the stabilization result is derived to guarantee asymptotically stable and applicated in chaos synchronization of Rossler chaotic system with multiple time-delays. Findings - A controller is designed and added to the nonlinear system with multiple time-delays. The stability of the nonlinear system at its zero equilibrium point is guaranteed by applying the appropriate controller signal based on linear matrix inequality and algebra Riccati matrix equation scheme. Another effective controller is also designed for the global asymptotic synchronization on the Rossler system based on the structure of delay-independent stabilization of nonlinear systems with multiple time-delays. Numerical simulations are demonstrated to verify the effectiveness of the proposed controller scheme. Originality/value - The introduced approach is interesting for delay-independent stabilization of nonlinear systems with multiple time-delays and its application in chaos synchronization of Rossler system.
机译：目的-本文的目的是对具有多个时滞的非线性系统进行与延迟无关的镇定，并将其应用于Rossler系统的混沌同步中。设计/方法/方法-基于线性矩阵不等式和代数Riccati矩阵方程，推导稳定化结果以确保渐近稳定，并将其应用于具有多个时滞的Rossler混沌系统的混沌同步。结果-设计了一个控制器，并将其添加到具有多个延时的非线性系统中。通过基于线性矩阵不等式和代数Riccati矩阵方程方案应用适当的控制器信号，可以确保非线性系统在零平衡点的稳定性。基于具有多个时滞的非线性系统的与时滞无关的稳定结构，还为Rossler系统上的全局渐近同步设计了另一种有效的控制器。数值仿真表明，可以验证所提出的控制器方案的有效性。原创性/价值-引入的方法对于具有多个时滞的非线性系统的与延迟无关的稳定及其在Rossler系统的混沌同步中的应用很有趣。

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