Abstract and Applied Analysis (Jan 2013)

Synchronization of Switched Interval Networks and Applications to Chaotic Neural Networks

  • Jinde Cao,
  • Abdulaziz Alofi,
  • Abdullah Al-Mazrooei,
  • Ahmed Elaiw

DOI
https://doi.org/10.1155/2013/940573
Journal volume & issue
Vol. 2013

Abstract

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This paper investigates synchronization problem of switched delay networks with interval parameters uncertainty, based on the theories of the switched systems and drive-response technique, a mathematical model of the switched interval drive-response error system is established. Without constructing Lyapunov-Krasovskii functions, introducing matrix measure method for the first time to switched time-varying delay networks, combining Halanay inequality technique, synchronization criteria are derived for switched interval networks under the arbitrary switching rule, which are easy to verify in practice. Moreover, as an application, the proposed scheme is then applied to chaotic neural networks. Finally, numerical simulations are provided to illustrate the effectiveness of the theoretical results.