Numerical Integration of Rolling Equations with the Use of Control Theory

[1] Baumgarte J.(1972)Stabilization of constraints and integrals of motion in dynamical systems Comput. Math. Appl. Mech. Eng. 1 1-16

[2] Ascher U. M.(1995)Stabilization of constrained mechanical systems with DAEs and invariant manifolds J. Mech. Struct. Mach. 23 135-158

[3] Hongsheng C.(1992)QDAE methods for the numerical solution of Euler-Lagrange equations App. Num. Math. 10 397-413

[4] Petzold L. R.(2011)Differential-algebraic equations of programmed motions of lagrangian dynamical systems Mech. Solids 46 534-88

[5] Reich S.(2001)“Stabilization method for the numerical integration of controlled multibody mechanical system: A hybrid integration approach,” JSME Int. J Ser. C 44 79-undefined

[6] Petzold L. R.(2019)Control of the dynamics of a system with differential constraints J. Comput. Syst. Sci. Int. 58 515-undefined

[7] Mukharlyamov R. G.(2007)On right-hand uniqueness of solutions to nondegenerated algebro-differential equations with discontinuances Autom. Remote Control 68 9-undefined

[8] Lin S. T.(undefined)undefined undefined undefined undefined-undefined

[9] Hong M. C.(undefined)undefined undefined undefined undefined-undefined

[10] Mukharlyamov R. G.(undefined)undefined undefined undefined undefined-undefined

[1] Baumgarte J.(1972)Stabilization of constraints and integrals of motion in dynamical systems Comput. Math. Appl. Mech. Eng. 1 1-16

[2] Ascher U. M.(1995)Stabilization of constrained mechanical systems with DAEs and invariant manifolds J. Mech. Struct. Mach. 23 135-158

[3] Hongsheng C.(1992)QDAE methods for the numerical solution of Euler-Lagrange equations App. Num. Math. 10 397-413

[4] Petzold L. R.(2011)Differential-algebraic equations of programmed motions of lagrangian dynamical systems Mech. Solids 46 534-88

[5] Reich S.(2001)“Stabilization method for the numerical integration of controlled multibody mechanical system: A hybrid integration approach,” JSME Int. J Ser. C 44 79-undefined

[6] Petzold L. R.(2019)Control of the dynamics of a system with differential constraints J. Comput. Syst. Sci. Int. 58 515-undefined

[7] Mukharlyamov R. G.(2007)On right-hand uniqueness of solutions to nondegenerated algebro-differential equations with discontinuances Autom. Remote Control 68 9-undefined

[8] Lin S. T.(undefined)undefined undefined undefined undefined-undefined

[9] Hong M. C.(undefined)undefined undefined undefined undefined-undefined

[10] Mukharlyamov R. G.(undefined)undefined undefined undefined undefined-undefined