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Principal whitened gradient-projection algorithm for distribution control

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Abstract

In this paper, we use an information geometric algorithm to solve the distribution control problem. The new designed algorithm is called principal whitened gradient-projection algorithm. In the principal natural gradient step, we use principal whitened gradient algorithm to obtain an optimal trajectory of the weight vector on the B-spline manifold from the viewpoint of information geometry. In the projection step, we project the selected points on B onto M. The coordinates of the projections on M give the trajectory of the control input u.

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Author information

Correspondence to ShiCheng Zhang.

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Supplementary material, approximately 16.7 MB.

Supplementary material, approximately 16.7 MB.

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Zhang, S., Sun, H. & Li, C. Principal whitened gradient-projection algorithm for distribution control. Sci. China Inf. Sci. 56, 1–8 (2013). https://doi.org/10.1007/s11432-011-4500-8

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Keywords

  • principal whitened gradient
  • distribution control
  • Kullback divergence