| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 842765 | Nonlinear Analysis: Theory, Methods & Applications | 2009 | 10 Pages |
Abstract
Nonlinear dynamical systems described by differential equations with discontinuous right-hand side and solutions intended in Filippov sense are considered. Based on Filippov differential inclusion and a new chain rule for differentiating regular functions along Filippov solution trajectories, different kinds of stability and convergence results are presented. Moreover, we investigate the stability and convergence for the corresponding perturbation system of the discontinuous system and some new criteria are addressed.
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Authors
Zhenyuan Guo, Lihong Huang,