Stability in the Synchronization of Multi-scroll Chaotic Systems using Hamiltonian Forms

https://doi.org/10.58571/CNCA.AMCA.2022.089

Resumen: This work contributes to the subject of stability in the synchronization of identical chaotic systems, coupled by means of a control law. Initially, chaotic systems with multiple scrolls are expressed in a Hamiltonian form, this allows us to observe particular characteristics of the system, since the system is divided into a conservative part and a dissipative part. This procedure helps in the design of a control law that allows identical chaotic systems to be synchronized. In particular, the technique of Model-Matching is used for the design of the control law, but an optimization is performed in the design of a control law, based only on the conservative part of the chaotic systems in Hamiltonian form. This gives us a new point of view in the design of the controllers used to achieve synchronization between chaotic systems, which simplifies the calculations that are carried out to obtain a law of control. A stability analysis is performed in this work to ensure that the synchronization of the two systems coupled by the effect of the control law meet the full system synchronization requirements, some numerical simulations are presented.

¿Cómo citar?

Juan Luis Vázquez Gutiérrez & Didier López-Mancilla. Stability in the Synchronization of Multi-scroll Chaotic Systems using Hamiltonian Forms. Memorias del Congreso Nacional de Control Automático, pp. 510-515, 2022. https://doi.org/10.58571/CNCA.AMCA.2022.089

Palabras clave

Sistemas Caóticos; Control de Sistemas No Lineales

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