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Published on: February 13, 2014
Sincronización maestro-esclavo de redes neuronales proporcionales de dimensiones heterogéneas para el cifrado de
1Department of Mathematics, Tianjin Normal University, Tianjin, 300387, China; Institute of Mathematics and Interdisciplinary Sciences, Tianjin Normal University, Tianjin, 300387, China.
Resumen
Este estudio explora la sincronización en sistemas maestro-esclavo con retardos proporcionales y diferentes dimensiones. Se desarrollan nuevos criterios para la sincronización asintótica global y exponencial utilizando observadores y controladores adaptativos.
Área de la Ciencia:
- Ingeniería de Sistemas de Control
- Neurociencia Computacional
- Matemáticas Aplicadas
Sus antecedentes:
- La sincronización maestro-esclavo es crucial para los sistemas coordinados.
- La investigación existente a menudo asume dimensiones idénticas y retardos acotados, lo que limita la aplicabilidad.
- Las redes neuronales de retardo proporcional (PDNN) presentan desafíos únicos debido a los retardos variables en el tiempo.
Objetivo del estudio:
- Investigar la sincronización asintótica global (GAS) en sistemas maestro-esclavo con retardos proporcionales y dimensiones heterogéneas.
- Desarrollar criterios para la sincronización exponencial global (GES) utilizando observadores y controladores adaptativos.
- Demostrar la utilidad práctica de los métodos de sincronización propuestos en el cifrado de imágenes.
Principales métodos:
- Diseño de un observador de orden reducido y un controlador de retroalimentación.
- Utilización de una función de Lyapunov-Krasovskii (LKF) para el análisis GAS.
- Optimización del observador y el controlador a versiones adaptativas con una función de Lyapunov (LF) para el análisis GES.
Principales resultados:
- Se establece un nuevo criterio para la sincronización asintótica global (GAS).
- Se deriva un criterio para la sincronización exponencial global (GES) utilizando control adaptativo.
- La efectividad de los métodos propuestos se valida a través de tres ejemplos numéricos.
Conclusiones:
- Los criterios de sincronización desarrollados son aplicables a sistemas maestro-esclavo con retardos proporcionales y dimensiones heterogéneas.
- Los diseños de observadores y controladores adaptativos mejoran la adaptabilidad, robustez y rendimiento del sistema.
- Las técnicas de sincronización prometen para aplicaciones como el cifrado de imágenes.
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