Title :
Singular functions of a nonlinear pendulum on finite time intervals
Author :
Mironovsky, Leonid A. ; Petrova, Xenya Y.
Author_Institution :
Dept. of Comput. Sci., St. Petersburg State Univ. of Airspace Instrum., Russia
Abstract :
Concept of singular functions of linear systems introduced in the previous works of the authors is extended to the nonlinear case. Singular functions of the nonlinear pendulum are studied. Three approaches to finding singular functions are considered: the classical variational approach, combined approach of variational calculus and flip-method, and genetic algorithm.
Keywords :
genetic algorithms; linear systems; nonlinear systems; pendulums; singular value decomposition; variational techniques; finite time intervals; flip-method; genetic algorithm; linear systems; nonlinear pendulum; singular functions; variational approach; variational calculus; Calculus; Computer science; Convolution; Frequency response; Genetic algorithms; Graphics; Instruments; Iterative algorithms; Linear systems; Time factors;
Conference_Titel :
Physics and Control, 2003. Proceedings. 2003 International Conference
Print_ISBN :
0-7803-7939-X
DOI :
10.1109/PHYCON.2003.1237084
