Probabilistic and algebraic aspects of smooth dynamical systems
Invariance entropy of control systems on flag manifolds and homogeneous spaces
Invariance entropy for semigroups actions in homogeneous spaces
| Full text | |
| Author(s): |
Da Silva, Adriano J.
[1]
Total Authors: 1
|
| Affiliation: | [1] Univ Estadual Campinas, Inst Matemat, BR-13081970 Campinas, SP - Brazil
Total Affiliations: 1
|
| Document type: | Journal article |
| Source: | SIAM JOURNAL ON CONTROL AND OPTIMIZATION; v. 52, n. 6, p. 3917-3934, 2014. |
| Web of Science Citations: | 6 |
| Abstract | |
Linear systems on Lie groups are a natural generalization of linear systems on Euclidian spaces. For such systems, this paper studies what happens with the outer invariance entropy introduced by Colonius and Kawan {[}SIAM J. Control Optim., 48 (2009), pp. 1701-1721]. It is shown that, as for the linear Euclidean case, the outer invariance entropy is given by the sum of the positive real parts of the eigenvalues of a linear derivation D that is associated to the drift of the system. (AU) | |
| FAPESP's process: | 13/19756-8 - Invariance entropy for semigroups actions in homogeneous spaces |
| Grantee: | Adriano João da Silva |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |