博文
Stability of initialization response of fractional oscillato
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Application of fractional calculus representations, shortly termed as fractional
constitute relations becomes an effective and powerful technique to characterize the rheological
behavior of viscoelastic materials. Research on fractional oscillators provides a novel approach to
deal with viscoelastically damped structures. This paper firstly investigates the memory effects or
historical effects on dynamical responses of fractional oscillators via numerical simulations. Then
the stability of initialization response is proved based on the unit impulse response function and
the Lyapunov stability theorem for fractional differential equations. The main conclusion in this
paper is that the stability of initialization responses of fractional oscillators is irrelevant to initial
conditions or prehistory.
https://wap.sciencenet.cn/blog-314145-997553.html
上一篇：高超声速飞行器的平衡态集
下一篇：二自由度及多自由度分数阶振子的Lyapunov函数与滑模控制设计
constitute relations becomes an effective and powerful technique to characterize the rheological
behavior of viscoelastic materials. Research on fractional oscillators provides a novel approach to
deal with viscoelastically damped structures. This paper firstly investigates the memory effects or
historical effects on dynamical responses of fractional oscillators via numerical simulations. Then
the stability of initialization response is proved based on the unit impulse response function and
the Lyapunov stability theorem for fractional differential equations. The main conclusion in this
paper is that the stability of initialization responses of fractional oscillators is irrelevant to initial
conditions or prehistory.
https://wap.sciencenet.cn/blog-314145-997553.html
上一篇：高超声速飞行器的平衡态集
下一篇：二自由度及多自由度分数阶振子的Lyapunov函数与滑模控制设计
