Title :
An algorithm for finding periodic solutions to systems of nonlinear difference equations
Author_Institution :
Dept. of EE, Linkoping Univ., Sweden
Abstract :
An algorithm for finding all N-periodic solutions to systems of nonlinear difference equations is given. The algorithm is based on elimination theory, and in special Grobner bases. It is applicable to polynomial systems and can handle indeterminate parameters in the system equations. The system is not required to be in state space form; implicit equations are allowed
Keywords :
difference equations; nonlinear differential equations; polynomials; Grobner bases; elimination theory; nonlinear difference equations; periodic solutions; polynomial systems; Adaptive filters; Algebra; Control theory; Difference equations; Discrete time systems; Filtering theory; Kalman filters; Nonlinear equations; Polynomials; State-space methods;
Conference_Titel :
Decision and Control, 1991., Proceedings of the 30th IEEE Conference on
Conference_Location :
Brighton
Print_ISBN :
0-7803-0450-0
DOI :
10.1109/CDC.1991.261063
