On aperiodic event-triggered master-slave synchronization of chaotic Lur'e systems |
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| Authors: | Yueying Wang Yanzheng Zhu Yingxin Zhu |
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| Institution: | 1. School of Mechatronic Engineering and Automation, Shanghai University, Shanghai 200444, China;2. School of Computing, Engineering and Mathematics, Western Sydney University, Sydney, New South Wales 2751, Australia;3. China Aerospace Science and Industry Academy of Information Technology, Beijing, 100070, China |
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| Abstract: | This paper is concerned with master-slave synchronization for chaotic Lur'e systems subject to aperiodic sampled-data. To reduce the communication burden, an aperiodic event-triggered (APET) transmission scheme is introduced to determine the transmission of the latest sampling synchronization data. In order to reduce the design conservatism, a novel time-dependent Lyapunov functional (TDLF) is constructed to fully use the characteristics about sampling behavior, triggering error, and nonlinear part of the system, simultaneously. A more relaxed constraint criterion is then presented to ensure the positivity of the whole functional between two sampling instants. By partially resorting to the TDLF, the APET-based synchronization criterion depending on the upper and lower bounds of the uncertain sampling period is presented. The synchronization criterion based on aperiodic-sampling mechanism is also provided. Finally, a typical example about neural networks is offered to illustrate the benefit and validity of obtained synchronization methodologies. |
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| Keywords: | Corresponding author |
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