Title :
The decomposition of vector functions in vector-matrix series into state-space of nonlinear dynamic system
Author :
Krot, Alexander M.
Author_Institution :
Institute of Engineering Cybernetics of the National Academy of Sciences of Belarus 6, Surganov Str., Minsk, 220012, Belarus
Abstract :
Decomposition relationships for nonlinear dynamic system operators into state-space based on vector-matrix series are proposed. The representation for a shift operator on trajectories of nonlinear dynamic system through shift operators on trajectories of multidimensional linear dynamic systems was obtained.
Keywords :
Differential equations; Equations; Mathematical model; Matrix decomposition; Nonlinear dynamical systems; Trajectory; Vectors; nonlinear dynamic systems; shift operator on the trajectories; state-space; vector-matrix series;
Conference_Titel :
Signal Processing Conference, 2000 10th European
Conference_Location :
Tampere, Finland
Print_ISBN :
978-952-1504-43-3