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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Ben Sassi, M.A. Girard, A. |
| Copyright Year | 2013 |
| Description | Author affiliation: Lab. Jean Kuntzmann, Univ. de Grenoble, Grenoble, France (Ben Sassi, M.A.; Girard, A.) |
| Abstract | In this paper we focus on a particular class of nonlinear dynamical systems given by polynomial vector fields in rectangular domains (boxes). This is a generalization of the work of Belta and Habets dealing with multi-affine dynamical systems on rectangles. The main idea is to use the blossoming principle which allows us to relate our polynomial dynamical system to a multi-affine one. This technique allows us to establish sufficient conditions for invariance of a rectangle or exit of a rectangle through a given facet. We extend these results to handle control synthesis. Finally, we show how our approach can be used to solve motion planning problem. |
| Starting Page | 658 |
| Ending Page | 663 |
| File Size | 416796 |
| Page Count | 6 |
| File Format | |
| ISBN | 9783033039629 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2013-07-17 |
| Publisher Place | Switzerland |
| Access Restriction | Subscribed |
| Rights Holder | EUCA |
| Subject Keyword | Abstracts Polynomials Vectors Trajectory Planning Nonlinear dynamical systems |
| Content Type | Text |
| Resource Type | Article |
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