Title :
Symmetries and first integrals for nonlinear discrete-time systems
Author :
Menini, L. ; Tornambe, A.
Author_Institution :
Dipt. di Inf., Sist. e Produzione, Univ. di Roma Tor Vergata, Rome, Italy
fDate :
June 29 2011-July 1 2011
Abstract :
In this paper, the concepts of Lie symmetry and of first integral for discrete-time nonlinear systems are discussed. Some results that hold for continuous-time nonlinear systems are extended to discrete-time ones. First, the strong relation between symmetries and first integrals is explored. Then the two concepts are studied separately, illustrating some applications of Lie symmetries and giving a computational procedure for the computation of first integrals.
Keywords :
continuous time systems; discrete time systems; nonlinear control systems; Lie symmetry; continuous-time nonlinear systems; first integrals; nonlinear discrete-time systems; Differential equations; Generators; Jacobian matrices; Linear systems; Nonlinear systems; Polynomials; Vectors;
Conference_Titel :
American Control Conference (ACC), 2011
Conference_Location :
San Francisco, CA
Print_ISBN :
978-1-4577-0080-4
DOI :
10.1109/ACC.2011.5990821
