American Institute of Mathematical Sciences

November  2009, 24(4): 1335-1343. doi: 10.3934/dcds.2009.24.1335

Improved condition for stabilization of controlled inverted pendulum under stochastic perturbations

 1 Department of Higher Mathematics, Donetsk State University of Management, Chelyuskintsev str., 163-a, Donetsk, 83015

Received  September 2008 Revised  December 2008 Published  May 2009

Known sufficient condition for stabilization of the controlled inverted pendulum under stochastic perturbations is improved via V.Kolmanovskii and L.Shaikhet general method of Lyapunov functionals construction.
Citation: Leonid Shaikhet. Improved condition for stabilization of controlled inverted pendulum under stochastic perturbations. Discrete & Continuous Dynamical Systems - A, 2009, 24 (4) : 1335-1343. doi: 10.3934/dcds.2009.24.1335
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