**DIPS 2/2000**[tex source, PostScript, PDF file, dvi]-
**Title:**FULL SYMMETRY ALGEBRA FOR ODE'S AND CONTROL SYSTEMS

**Author:**Alexey SAMOKHINA description of the full symmetry algebra (i.e., including higher symmetries) for a general nonlinear system of ordinary differential equations is given in terms of its general solution and differential constants. More precisely, the full symmetry algebra of a system is a module over the ring of its differential constants; the module is generated by partial derivatives of the general solution by the independent constants. Given a general solution, this description is both effective and explicit. Special solutions, such as an envelope of a family of solutions is described naturally in this context. These results are extended to control systems; in this case the differential constants become operators on controls. Examples are provided.

13 pages, LaTeX-2e (AmSLaTeX 1.2) and EPSF.STY.

To compile source files (**.tex**) one needs the title page style files titlatex.tex.