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Conference Paper: On the topological entropy of nonlinear dynamical systems
| Title | On the topological entropy of nonlinear dynamical systems |
|---|---|
| Authors | |
| Issue Date | 2016 |
| Publisher | World Academy of Science, Engineering and Technology. |
| Citation | The 18th International Conference on Intelligent Control Systems Engineering (ICICSE 2016), Venice, Italy, 11-12 April 2016. In International Journal of Mechanical and Mechatronics Engineering, 2016, v. 3 n. 4 How to Cite? |
| Abstract | The topological entropy plays a key role in linear dynamical systems, allowing one to establish the existence of stabilizing feedback controllers for linear systems in the presence of communications constraints. This paper addresses the determination of a robust value of the topological entropy in nonlinear dynamical systems, specifically the largest value of the topological entropy over all linearized models in a region of interest of the state space. It is shown that a sufficient condition for establishing upper bounds of the sought robust value of the topological entropy can be given in terms of a semidefinite program (SDP), which belongs to the class of convex optimization problems. |
| Persistent Identifier | http://hdl.handle.net/10722/227531 |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Chesi, G | - |
| dc.date.accessioned | 2016-07-18T09:11:16Z | - |
| dc.date.available | 2016-07-18T09:11:16Z | - |
| dc.date.issued | 2016 | - |
| dc.identifier.citation | The 18th International Conference on Intelligent Control Systems Engineering (ICICSE 2016), Venice, Italy, 11-12 April 2016. In International Journal of Mechanical and Mechatronics Engineering, 2016, v. 3 n. 4 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/227531 | - |
| dc.description.abstract | The topological entropy plays a key role in linear dynamical systems, allowing one to establish the existence of stabilizing feedback controllers for linear systems in the presence of communications constraints. This paper addresses the determination of a robust value of the topological entropy in nonlinear dynamical systems, specifically the largest value of the topological entropy over all linearized models in a region of interest of the state space. It is shown that a sufficient condition for establishing upper bounds of the sought robust value of the topological entropy can be given in terms of a semidefinite program (SDP), which belongs to the class of convex optimization problems. | - |
| dc.language | eng | - |
| dc.publisher | World Academy of Science, Engineering and Technology. | - |
| dc.relation.ispartof | International Journal of Mechanical and Mechatronics Engineering | - |
| dc.title | On the topological entropy of nonlinear dynamical systems | - |
| dc.type | Conference_Paper | - |
| dc.identifier.email | Chesi, G: chesi@eee.hku.hk | - |
| dc.identifier.authority | Chesi, G=rp00100 | - |
| dc.identifier.hkuros | 259222 | - |
| dc.identifier.volume | 3 | - |
| dc.identifier.issue | 4 | - |