Open AccessPossible solutions of inverse dynamical problems with regards for nonlinear constraint stabilization function
Author(s) -
I. E. Kaspirovich,
R. G. Mukharlyamov
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1705/1/012013
Subject(s) - dissipative system , constraint (computer aided design) , nonlinear system , mathematics , function (biology) , homogeneous , inverse function , inverse , mathematical analysis , mathematical optimization , physics , geometry , quantum mechanics , evolutionary biology , biology , combinatorics
Baumgarte’s method of constraint stabilization can be applied to find a stable numerical solution in relation for constraint equations during the numerical integration. According to this method full time derivatives of constraints are equated to their arbitrary linear form. Choosing values of the coefficients of this form allow us to obtain a stable solution. In this paper a method of constructing Lagrange equations of the second kind is considered with regard for a nonlinear homogeneous stabilization function. A necessity if introducing dissipative function to find a complete stabilization problem’s solution can be the main conclusion of the research.