Construction of a new Lyapunov function for a dissipative gyroscopic system using the residual energy function

作     者：Cem CiVELEK Ozge CiHANBEGENDi Cem C?VELEK;?zge C?HANBE?END?

作者机构：Faculty of EngineeringDepartment of Electrical and Electronics EngineeringEge UniversityBornova-izmir 35100Turkey Faculty of EngineeringDepartment of Electrical and Electronics EngineeringDokuz Eylul UniversityBuca-izmir 35160Turkey 

出 版 物：《Frontiers of Information Technology & Electronic Engineering》 (信息与电子工程前沿（英文版）)

年 卷 期：2020年第21卷第4期

页      面：629-634页

核心收录：

学科分类：0810[工学-信息与通信工程] 0808[工学-电气工程] 07[理学] 0809[工学-电子科学与技术（可授工学、理学学位）] 0839[工学-网络空间安全] 070104[理学-应用数学] 0835[工学-软件工程] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

主　　题：Lyapunov function Residual energy function Stability of dissipative gyroscopic system 

摘      要：In a dissipative gyroscopic system with four degrees of freedom and tensorial variables in contravariant(right upper index)and covariant(right lower index)forms,a Lagrangian-dissipative model,i.e.,{L,D}-model,is obtained using second-order linear differential equations.The generalized elements are determined using the{L,D}-model of the system.When the prerequisite of a Legendre transform is fulfilled,the Hamiltonian is found.The Lyapunov function is obtained as a residual energy function(REF).The REF consists of the sum of Hamiltonian and losses or dissipative energies(which are negative),and can be used for stability by Lyapunov’s second method.Stability conditions are mathematically proven.