Construction of a new Lyapunov function for a dissipative gyroscopic system using the residual energy function
Küçük Resim Yok
Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Zhejiang Univ
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
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.
Açıklama
Anahtar Kelimeler
Lyapunov function, Residual energy function, Stability of dissipative gyroscopic system, 0313
Kaynak
Frontiers of Information Technology & Electronic Engineering
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
21
Sayı
4