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Journal articles
An Interval Approach to Compute Invariant Sets
Abstract : This paper proposes an original interval-based method to compute an outer approximation of all invariant sets (such as limit cycles) of a continuous-time non-linear dynamic system which are included inside a prior set of the state space. Contrary to all other existing approaches, our method has the following properties: (i) it is guaranteed (a solution cannot be lost), (ii) it is applicable to a large class of systems without any specific assumption such as the knowledge of a Lyapunov function or any partial linearity, and (iii) there is no need to integrate the system.
Cited literature [42 references]
https://hal.archives-ouvertes.fr/hal-01497267
Contributor : Thomas Le Mézo <>
Submitted on : Tuesday, March 28, 2017 - 2:46:53 PM
Last modification on : Wednesday, August 5, 2020 - 3:44:25 AM
Long-term archiving on: : Thursday, June 29, 2017 - 4:42:40 PM
Contributor : Thomas Le Mézo <>
Submitted on : Tuesday, March 28, 2017 - 2:46:53 PM
Last modification on : Wednesday, August 5, 2020 - 3:44:25 AM
Long-term archiving on: : Thursday, June 29, 2017 - 4:42:40 PM
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