CLC number: O313
On-line Access: 2020-04-21
Received: 2019-01-10
Revision Accepted: 2019-05-25
Crosschecked: 2020-03-06
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Cem Civelek, Özge Cihanbeğendi. Construction of a new Lyapunov function for a dissipative gyroscopic system using the residual energy function[J]. Frontiers of Information Technology & Electronic Engineering,in press.https://doi.org/10.1631/FITEE.1900014 @article{title="Construction of a new Lyapunov function for a dissipative gyroscopic system using the residual energy function", %0 Journal Article TY - JOUR
耗散陀螺系统的李雅普诺夫函数构造:剩余能量函数方法Cem CİVELEK1, Özge CİHANBEĞENDİ2 1埃格大学电气与电子工程系工程学部,土耳其伊兹密尔博尔诺瓦,35100 2度库兹•埃路尔大学电气与电子工程系工程学部,土耳其伊兹密尔布卡,35160 摘要:在自由度为4、张量有逆变(右上标)和协变(右下标)形式的耗散陀螺系统中,使用二阶线性微分方程建立拉格朗日耗散模型,即{L, D}模型。通过系统的{L, D}模型确定广义元素。满足勒让德变换先决条件时,可得哈密顿量。剩余能量函数(REF)由哈密顿量及损耗或耗散能量(为负)之和组成,将其作为李雅普诺夫函数,可通过李雅普诺夫第二方法作稳定性分析,并从数学上推导出稳定性条件。 关键词组: Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article
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