The mean-square exponential stability and instability of stochastic nonholonomic systems

Mei Shang*, Yong Xin Guo

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

We present a new methodology for studying the mean-square exponential stability and instability of nonlinear nonholonomic systems under disturbance of Gaussian white-noise by the first approximation. Firstly, we give the linearized equations of nonlinear nonholonomic stochastic systems; then we construct a proper stochastic Lyapunov function to investigate the mean-square exponential stability and instability of the linearized systems, and thus determine the stability and instability in probability of corresponding competing systems. An example is given to illustrate the application procedures.

Original languageEnglish
Pages (from-to)480-485
Number of pages6
JournalChinese Physics
Volume10
Issue number6
DOIs
Publication statusPublished - 2001

Keywords

  • Mean-square exponential stability and instability
  • Stochastic nonholonomic system

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