چكيده به لاتين
Abstract
Many physical phenomena in the nature, described by a system of nonlinear partial
differential equations. of course, solve of them are difficult or even impossible.
One of the most useful techniques for finding exact solutions of the dynamical
systems described by these equations, is the Lie symmetries method. In this thesis
symmetry of nonlinear control systems by differential geometry and geometric
control theory methods, has been studied.
At first, introduced basic definitions symmetry and the concept of invariant,
then propound selection of geometric control theory and related content mappings
Lie-Bäcklund, work continues. And finally with definitions and theorems related
to symmetry of nonlinear control systems, and invariant control design, Then the
presentation of a application, thesis will finish.
Keywords: Lie symmetry, Symmetry of control systems, Geometric control theory.
