Novel Single Bounded Input Control Synchronization Criterion for a Category of Hyperchaotic & Chaotic Systems in Presence of Uncertainties

IF 1.9 4区工程技术 Q3 ENGINEERING, MECHANICAL

Journal of Computational and Nonlinear Dynamics Pub Date : 2023-10-13 DOI:10.1115/1.4063723

None Pallav, Himesh Handa, Bharat Bhushan Sharma

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引用次数: 0

Abstract

Abstract Dynamical systems that have a chaotic underlying structure have a sensitive dependency on the initial conditions and the values of their parameters. In this piece of work, a straightforward method for solving the synchronization issue in master-slave arrangement for a category of chaotic or hyperchaotic systems, in which perturbations are present in the parameters of the response system, is discussed. The desired control signal is bounded by the initial state when the controller is activated. There is just one control input that is used, and it is derived from Lyapunov&#39;s concept of stability. In general, it is tricky to synchronize hyperchaotic or chaotic systems with single controller, and the work turns out to be significantly more complex when the parameters of the slave system are perturbed. The feedback controller using single input that has been constructed makes certain that the state variables of the response system are in synchronization with the state variables that correspond to them in the drive system. In order to attain the desired level of synchronization, the required conditions that must be satisfied to do so have been identified utilizing Lyapunov's stability analysis in a simple manner. In addition, numerical illustrations have been provided in order to support and confirm the theoretical findings of the paper.

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一类超混沌的单有界输入控制同步新准则存在不确定性的混沌系统

具有混沌底层结构的动力系统对初始条件及其参数值具有敏感的依赖性。本文讨论了一类响应系统参数中存在扰动的混沌或超混沌系统的主从同步问题的直接求解方法。当控制器被激活时，所需的控制信号由初始状态限定。这里只使用一个控制输入，它来源于李雅普诺夫的稳定性概念。一般来说，用单控制器同步超混沌或混沌系统是一个棘手的问题，当从系统的参数被摄动时，工作变得更加复杂。构造了单输入反馈控制器，使响应系统的状态变量与驱动系统的状态变量保持同步。为了达到期望的同步水平，必须满足的必要条件已经用李亚普诺夫的稳定性分析以一种简单的方式确定。此外，为了支持和证实本文的理论发现，还提供了数值实例。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Computational and Nonlinear Dynamics 工程技术-工程：机械

CiteScore

4.00

自引率

10.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The purpose of the Journal of Computational and Nonlinear Dynamics is to provide a medium for rapid dissemination of original research results in theoretical as well as applied computational and nonlinear dynamics. The journal serves as a forum for the exchange of new ideas and applications in computational, rigid and flexible multi-body system dynamics and all aspects (analytical, numerical, and experimental) of dynamics associated with nonlinear systems. The broad scope of the journal encompasses all computational and nonlinear problems occurring in aeronautical, biological, electrical, mechanical, physical, and structural systems.