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DII‐Based Linear Feedback Control Design for Practical Synchronization of Chaotic Systems with Uncertain Input Nonlinearity and Application to Secure Communication

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  • Yeong-Jeu Sun

Abstract

The concept of practical synchronization is introduced and the chaos synchronization of master‐slave chaotic systems with uncertain input nonlinearities is investigated. Based on the differential and integral inequalities (DII) approach, a simple linear control is proposed to realize practical synchronization for master‐slave chaotic systems with uncertain input nonlinearities. Besides, the guaranteed exponential convergence rate can be prespecified. Applications of proposed master‐slave chaotic synchronization technique to secure communication as well as several numerical simulations are given to demonstrate the feasibility and effectiveness of the obtained result.

Suggested Citation

  • Yeong-Jeu Sun, 2012. "DII‐Based Linear Feedback Control Design for Practical Synchronization of Chaotic Systems with Uncertain Input Nonlinearity and Application to Secure Communication," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:369267
    DOI: 10.1155/2012/369267
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    References listed on IDEAS

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    1. Sun, Yeong-Jeu, 2009. "Solution bounds of generalized Lorenz chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 691-696.
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    Cited by:

    1. Jesus Manuel Munoz-Pacheco & Luz del Carmen Gómez-Pavón & Olga Guadalupe Félix-Beltrán & Arnulfo Luis-Ramos, 2013. "Determining the Lyapunov Spectrum of Continuous‐Time 1D and 2D Multiscroll Chaotic Oscillators via the Solution of m‐PWL Variational Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).

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