Alternate-continuous-control systems with double-impulse
作者: Xiang HuHongjuan WuYuming FengJiang Xiong
作者单位: 1Chongqing Three Gorges University
刊名: Advances in Difference Equations, 2017, Vol.2017 (1)
来源数据库: Springer Journal
DOI: 10.1186/s13662-017-1340-x
关键词: Alternate controlContinuous controlDouble-impulseLyapunov functionIndex stabilityChua’s oscillatorMemristors
英文摘要: We propose a mathematical model that can control the stability of an unstable system. Periodicity is an important feature of the system. We add a continuous control to the first half of each period of the system and then add an impulse control J 1 at the \(1/2\) period time. Again, we do not control the rest half of each period of the system. Finally, we add an impulse control J 2 at the end of each period of the system. The system is called an alternate-continuous-control system with double-impulse . We study the stability of the current system by constructing the Lyapunov function. Using the proposed method, we can control the Chua oscillator. The system has two impulse inputs per period, which is more in line with natural law than the system that only has a single-impulse input....
原始语种摘要: We propose a mathematical model that can control the stability of an unstable system. Periodicity is an important feature of the system. We add a continuous control to the first half of each period of the system and then add an impulse control J 1 at the \(1/2\) period time. Again, we do not control the rest half of each period of the system. Finally, we add an impulse control J 2 at the end of each period of the system. The system is called an alternate-continuous-control system with double-impulse . We study the stability of the current system by constructing the Lyapunov function. Using the proposed method, we can control the Chua oscillator. The system has two impulse inputs per period, which is more in line with natural law than the system that only has a single-impulse input....
全文获取路径: Springer  (合作)
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来源刊物:
影响因子:0.76 (2012)

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关键词翻译
关键词翻译
  • control 控制
  • impulse 冲动
  • system 
  • proposed 建议的
  • continuous 连续的
  • oscillator 振荡器
  • function 函数
  • double 双重的
  • more 更多
  • stability 稳定性