On constrained motion

The general explicit equations of motion for constrained discrete dynamical systems are obtained. These new equations lead to a simple and new fundamental view of constrained motion where the forces of constraint may be ideal and/or non-ideal.

[1]  J. Synge,et al.  On the Geometry of Dynamics , 1927 .

[2]  R. Kalaba,et al.  A new perspective on constrained motion , 1992, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[3]  K. S. Banerjee Generalized Inverse of Matrices and Its Applications , 1973 .