Learning trajectories of dynamical systems
Abstract
The aim of the present paper is to describe the method that is capable of adjusting the parameters of a dynamical system so that the trajectories gain certain specified properties. Three problems are considered: (i) learning fixed points, (ii) learning to periodic trajectories, (iii) restrictions on the trajectories. An error function, which measures the discrepancy between the actual and desired trajectories is introduced. Numerical results of several examples, which illustrate the efficiency of the method, are presented.
Keywords:
dynamical systems, learning trajectories, gradient descent method, sensitivity analysisHow to Cite
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Copyright (c) 2012 The Author(s). Published by Vilnius Gediminas Technical University.
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Copyright (c) 2012 The Author(s). Published by Vilnius Gediminas Technical University.
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This work is licensed under a Creative Commons Attribution 4.0 International License.