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The Mathematical Modelling of the Dynamics of Systems with Redundant Coordinates in the Neighborhood of Steady Motions

2017
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Bulletin of the South Ural State University Series Mathematical Modelling Programming and Computer Software
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This paper describes a method of use of equations in M.F. Shul'gin's form in Lagrangian variables for steady motion stability and stabilization problems of systems with geometric constraints. These equations of motion are free from Lagrange multipliers; we substantiate their advantage for solving stability and stabilization problems. Depended coordinates corresponding to zero solutions of characteristic equation are allocated in the disturbed equations of motion. These variables are necessarily

doi:10.14529/mmp170203
fatcat:j7qyl33gsjafloijsv2wbnm6ae