This paper presents the robust design for chaotic cryptosystems. The cryptosystem combines cryptograph with chaotic synchronization. The hyperchaotic signals are synchronized between the encrypter and the decrypter based on observer gains. The technique of linear matrix inequality (LMI) is applied to determine the observer gains. A theorem has been proposed to guarantee the robust stabilization...

The adaptive hybrid function projective synchronization AHFPS of different chaotic systems with unknown time-varying parameters is investigated. Based on the Lyapunov stability theory and adaptive bounding technique, the robust adaptive control law and the parameters update law are derived to make the states of two different chaotic systems asymptotically synchronized. In the control strategy, ...

Based on the iterated extended Kalman filtering trained radial basis function neural networks, this contribution investigates the adaptive synchronization problem between different chaotic systems in presence of unknown system parameters, with random noises to the observed outputs and without needing to estimate the system parameters. The input vector to the radial basis function neural network...