1. An Interval Approach to Compute Invariant Sets.
- Author
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Le Mezo, Thomas, Jaulin, Luc, and Zerr, Benoit
- Subjects
- *
INVARIANT sets , *NONLINEAR dynamical systems , *LYAPUNOV functions , *ELECTRON tubes , *CONSTRAINT programming - 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 nonlinear 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: first, it is guaranteed (a solution cannot be lost); second, 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 third, there is no need to integrate the system. [ABSTRACT FROM AUTHOR]
- Published
- 2017
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