Title :
On uncontrollable non-linear dynamic systems: analytic solutions for integral manifolds
Author :
Stefanovski, Jovan D. ; Dimirovski, Georgi M.
Author_Institution :
JP HS Strevezo, Bitola, Macedonia
Abstract :
In this paper three solutions for invariant submanifolds of nonlinear control systems are presented. The first and the second are based on functional expansion, which can be obtained by differentiation of functions only. The third one presents a singular solution and is based on linear-algebraic operations and finite differentiation of functions only. Examples for all derived results are presented.
Keywords :
differentiation; functional equations; invariance; linear algebra; nonlinear control systems; function differentiation; functional expansion; integral manifolds; invariant submanifolds; linear-algebraic operations; uncontrollable nonlinear dynamic systems; Algebra; Control systems; Differential equations; Erbium; Jacobian matrices; Nonlinear systems; Tiles; Vectors;
Conference_Titel :
Physics and Control, 2003. Proceedings. 2003 International Conference
Print_ISBN :
0-7803-7939-X
DOI :
10.1109/PHYCON.2003.1237093
