Symmetry algebra for control systems (Q2733950)

The author gives a description of the full symmetry algebra for a general nonlinear system of ordinary differential equations in terms of its general solution and differential constants. Thus, given a general solution, the description is effective and explicit: the full symmetry algebra is in this case a module over the ring of its differential constants; the module is generated by partial derivatives of the general solutions by the independent constants. There are given applications: the description of the symmetries of a boundary value problem for the one-dimensional wave equation and the symmetries of a control system.NEWLINENEWLINEFor the entire collection see [Zbl 0966.00031].