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| 1 | Sliding Mode Control of Fractional-Order Delayed Memristive Chaotic System with Uncertainty and Disturbance显示文摘In this paper, a simplest fractional-order delayed memristive chaotic system is proposed in order to control the chaos behaviors via sliding mode control strategy. Firstly, we design a sliding mode control strategy for the fractionalorder system with time delay to make the states of the system asymptotically stable. Then, we obtain theoretical analysis results of the control method using Lyapunov stability theorem which guarantees the asymptotic stability of the noncommensurate order and commensurate order system with and without uncertainty and an external disturbance. Finally,numerical simulations are given to verify that the proposed sliding mode control method can eliminate chaos and stabilize the fractional-order delayed memristive system in a finite time. | 丁大为 刘芳芳 陈辉 王年 梁栋 | 2017 | Communications in Theoretical Physics2017，67，12： | 0 |
| 2 | Designing Chaotic Mathematical Circuits for Solving Practical Problems显示文摘We introduce the paradigm of chaotic mathematical circuitry which shows some similarity to the paradigm of electronic circuitry, especially in the frame of chaotic attractors for solving practical problems(generating hyperchaos; developing chaos based pseudo random number generator(CPRNG) and chaotic multistream PRNG; secure communication via synchronization). They can also be used in cryptography, generic algorithms in optimization, control, etc. | Ren Lozi | 2014 | International Journal of Automation and computing2014，11，6： | 0 |
| 3 | 超混沌系统在分数阶区域完全同步与参数辨识显示文摘在两个分数阶超混沌系统同步的研究中,针对异结构超混沌系统在一定分数阶区域并且同时含有多个不确定参数情况下的完全同步与参数辨识问题,利用分数阶系统稳定性理论和反馈控制方法设计同步控制器和参数演化规则,分析同步实现、参数辨识与反馈变量之间的关联性,然后将所研究的分数阶阶次推广到一定范围,最后对上述同步方法进行一系列仿真验证。结果表明,借助上述同步控制器和参数演化规则,两个异结构的分数阶超混沌系统可以在超混沌状态的最低阶次范围内以任意一组给出的阶次qi实现完全同步和参数辨识。 | 朱涛 张广军 李睿 董俊 | 2014 | 计算机仿真2014，31，7： | 0 |
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