Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8055354 | Nonlinear Analysis: Hybrid Systems | 2016 | 8 Pages |
Abstract
In modeling practical systems, it can be efficient to apply Poisson process and Wiener process to represent the abrupt changes and the environmental noise, respectively. Therefore, we consider the systems affected by these random processes and investigate their joint effects on stability. In order to apply Lyapunov stability method, we formulate the action of the infinitesimal generator corresponding to such a system. Then, we derive the almost sure stability conditions by using some fundamental convergence theorem. To illustrate the theoretical results, we construct an example to show that it is possible to achieve stabilization by using random perturbations.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Shen Cong,