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Global stabilization and destabilization by the state dependent noise with particular distributions

  • Published:2020-02 Issue: Volume:403 Page:132302
  • ISSN:0167-2789
  • Container-title:Physica D: Nonlinear Phenomena
  • language:en
  • Short-container-title:Physica D: Nonlinear Phenomena

Author:

Braverman Elena,Rodkina Alexandra

Funder

Natural Sciences and Engineering Research Council of Canada

Publisher

Elsevier BV

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Reference23 articles.

1. Dynamical stability of pendulum with vibrating suspension;Kapica;J. Exp. Theor. Phys.,1951

2. R.Z. Has’minski, Stability of Systems of Differential Equations under Random Perturbations of their Parameters, Nauka, Moscow, 1969.

3. Stochastic stability of differential equations, with contributions by G. N. Milstein and M. B. Nevelson;Khasminskii,2012

4. Stabilization of linear systems by noise;Arnold;SIAM J. Control Optim.,1983

5. Stochastic stabilisation of functional dfferential equations;Appleby;Systems Control Lett.,2005

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1. Including stochastics in Prediction-Based Control of difference systems: Stabilizing and destabilizing by noise;Systems & Control Letters;2024-11

2. Global Asymptotic Stability of Nonlinear Strict Feedback System via Backstepping Control Approach;International Journal of Mathematics and Mathematical Sciences;2023-06-13

3. An introduction to backstepping control;Backstepping Control of Nonlinear Dynamical Systems;2021

4. Stabilization of cycles with stochastic prediction-based and target-oriented control;Chaos: An Interdisciplinary Journal of Nonlinear Science;2020-09
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