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

Küçük Resim Yok

Tarih

2020

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

Künye