考虑含有不稳定子系统的离散切换系统的稳定性,通过设计模型依赖平均驻留时间(mode-dependent average dwell time, MDADT)切换信号,针对稳定子系统和不稳定子系统分别设计了慢切换信号和快切换信号,降低驻留时间方法的保守性。采用MDAD...考虑含有不稳定子系统的离散切换系统的稳定性,通过设计模型依赖平均驻留时间(mode-dependent average dwell time, MDADT)切换信号,针对稳定子系统和不稳定子系统分别设计了慢切换信号和快切换信号,降低驻留时间方法的保守性。采用MDADT方法建立了非线性离散切换系统全局一致指数稳定的充分条件,进一步研究了含有不稳定模态的线性离散切换系统的稳定性,最后数值仿真验证了方法的有效性。展开更多
The physical and mechanical change processes of coal and rock are closely related to energy transformation,and the destruction and failure of coal and rock is an instability phenomena driven by energy change.However,t...The physical and mechanical change processes of coal and rock are closely related to energy transformation,and the destruction and failure of coal and rock is an instability phenomena driven by energy change.However,the energy change of large-scale coal rock in the mine site is hardly calculated accurately,making it difficult to monitor coal-rock systematic failure and collapse from the perspective of energy.By the energy dissipation EMR monitoring system,we studied the damage and failure of coal and rock with bursting liability from the energy dissipation point using the geophysical method-EMR,and explored the energy dissipation characteristics during uniaxial compression and their main influencing factors.The results show that under displacement-control loading mode,there are 2 types of energy dissipation trends for both coal and rock with bursting liability.The type Ⅰ trend is a steady increase one during the whole process,therein,the energy dissipation of rock samples is accelerated at the peak load.The type Ⅱ trend energy is a W-shaped fluctuating one containing 6 stages.Under load-control loading mode,there is one energy dissipation trend of shock downward-steady rise.Besides that,rock samples also present a trend of 4 stages.The energy dissipation characteristics of coal and rockduring loading failure process can be used as effective criteria to assess whether they are in a stable or destructive stage.The factors influencing energy dissipation in the loading failure process of coal and rock mainly include strength,homogeneity,and energy input efficiency.展开更多
文摘考虑含有不稳定子系统的离散切换系统的稳定性,通过设计模型依赖平均驻留时间(mode-dependent average dwell time, MDADT)切换信号,针对稳定子系统和不稳定子系统分别设计了慢切换信号和快切换信号,降低驻留时间方法的保守性。采用MDADT方法建立了非线性离散切换系统全局一致指数稳定的充分条件,进一步研究了含有不稳定模态的线性离散切换系统的稳定性,最后数值仿真验证了方法的有效性。
基金supported by Youth Science Foundation of the National Natural Science Foundation of China(No.51104156)the Fundamental Research Funds for the Central Universities of China(No.2013QNB02)the 12th Five Year National Science and Technology Support Key Project of China(Nos. 2012BAK04B07-2 and 2012BAK09B01-04)
文摘The physical and mechanical change processes of coal and rock are closely related to energy transformation,and the destruction and failure of coal and rock is an instability phenomena driven by energy change.However,the energy change of large-scale coal rock in the mine site is hardly calculated accurately,making it difficult to monitor coal-rock systematic failure and collapse from the perspective of energy.By the energy dissipation EMR monitoring system,we studied the damage and failure of coal and rock with bursting liability from the energy dissipation point using the geophysical method-EMR,and explored the energy dissipation characteristics during uniaxial compression and their main influencing factors.The results show that under displacement-control loading mode,there are 2 types of energy dissipation trends for both coal and rock with bursting liability.The type Ⅰ trend is a steady increase one during the whole process,therein,the energy dissipation of rock samples is accelerated at the peak load.The type Ⅱ trend energy is a W-shaped fluctuating one containing 6 stages.Under load-control loading mode,there is one energy dissipation trend of shock downward-steady rise.Besides that,rock samples also present a trend of 4 stages.The energy dissipation characteristics of coal and rockduring loading failure process can be used as effective criteria to assess whether they are in a stable or destructive stage.The factors influencing energy dissipation in the loading failure process of coal and rock mainly include strength,homogeneity,and energy input efficiency.
