16418

16418

تقارن دستگاه هاي كنترل غيرخطي و كاربردها

كارشناسي ارشد

هندسه

شهريور 1395

دكتر مهدي نجفي خواه

دكتر اكبر دهقان نژاد

رياضي

1395/11/11

1/1/1900 12:00:00 AM

Abstract Many physical phenomena in the nature, described by a system of nonlinear partial differential equations. of course, solve of them are difficult o​r 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 an​d geometric control theory methods, has been studied. At first, introduced basic definitions symmetry an​d the concept of invariant, then propound selection of geometric control theory an​d related content mappings Lie-Bäcklund, work continues. And finally with definitions an​d theorems related to symmetry of nonlinear control systems, an​d invariant control design, Then the presentation of a application, thesis will finish. Keywords: Lie symmetry, Symmetry of control systems, Geometric control theory.