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CDC
2010
IEEE
196views Control Systems» more  CDC 2010»
13 years 2 months ago
Convergence and convergence rate of stochastic gradient search in the case of multiple and non-isolated extrema
The asymptotic behavior of stochastic gradient algorithms is studied. Relying on some results of differential geometry (Lojasiewicz gradient inequality), the almost sure pointconve...
Vladislav B. Tadic
MOC
2000
97views more  MOC 2000»
13 years 7 months ago
Convergence rates to the discrete travelling wave for relaxation schemes
Abstract. This paper is concerned with the asymptotic convergence of numerical solutions toward discrete travelling waves for a class of relaxation numerical schemes, approximating...
Hailiang Liu
TNN
1998
94views more  TNN 1998»
13 years 7 months ago
Global convergence of Oja's subspace algorithm for principal component extraction
—Oja’s principal subspace algorithm is a well-known and powerful technique for learning and tracking principal information in time series. A thorough investigation of the conve...
Tianping Chen, Yingbo Hua, Wei-Yong Yan
AUTOMATICA
2006
135views more  AUTOMATICA 2006»
13 years 7 months ago
Finite-time convergent gradient flows with applications to network consensus
This paper introduces the normalized and signed gradient dynamical systems associated with a differentiable function. Extending recent results on nonsmooth stability analysis, we ...
Jorge Cortés
SIAMNUM
2010
105views more  SIAMNUM 2010»
13 years 2 months ago
Convergence Analysis for Incompressible Generalized Newtonian Fluid Flows with Nonstandard Anisotropic Growth Conditions
We study equations to describe incompressible generalized Newtonian fluids, where the extra stress tensor satisfies a nonstandard anisotropic asymptotic growth condition. An implic...
Erich Carelli, Jonas Haehnle, Andreas Prohl