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 language | English |
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Pages (from-to) | 480-485 |
Number of pages | 6 |
Journal | Chinese Physics |
Volume | 10 |
Issue number | 6 |
DOIs | |
Publication status | Published - 2001 |
Keywords
- Mean-square exponential stability and instability
- Stochastic nonholonomic system