Alternate-continuous-control systems with double-impulse
 作者： Xiang Hu,  Hongjuan Wu,  Yuming Feng,  Jiang 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 control;  Continuous control;  Double-impulse;  Lyapunov function;  Index stability;  Chua’s oscillator;  Memristors; 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.... Therefore, the system proposed in this paper is more practical than current mature control systems. 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.... Therefore, the system proposed in this paper is more practical than current mature control systems.

• 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