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Article Dans Une Revue IEEE Transactions on Automatic Control Année : 2017

An Interval Approach to Compute Invariant Sets

Luc Jaulin
Benoit Zerr
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Résumé

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.
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Dates et versions

hal-01497267 , version 1 (28-03-2017)

Identifiants

Citer

Thomas Le Mézo, Luc Jaulin, Benoit Zerr. An Interval Approach to Compute Invariant Sets. IEEE Transactions on Automatic Control, 2017, 62 (8), pp.4236 - 4242. ⟨10.1109/TAC.2017.2685241⟩. ⟨hal-01497267⟩
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