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Communication Dans Un Congrès Année : 2014

Computing capture tubes


A dynamic system can often be described by a state equation ˙x = h(x, u, t) where x ∈ Rn is the state vector, u ∈ Rm is the control vector and h : Rn × Rp × R → Rn is the evolution function. Assume that the control low u = g (x, t) is known (this can be obtained using control theory), the system becomes autonomous. If we define f (x, t) = h(x, g (x, t) , t), we get the following equation. ˙x = f (x, t) . The validation of some stability properties of this system is an important and difficult problem [2] which can be transformed into proving the inconsistency of a constraint satisfaction problem. For some particular properties and for invariant system (i.e., f does not depend on t), it has been shown [1] that the V-stability approach combined interval analysis [3] can solve the problem efficiently. Here, we extend this work to systems where f depends on time.
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Dates et versions

hal-01122023 , version 1 (03-03-2015)


  • HAL Id : hal-01122023 , version 1


Luc Jaulin, Jordan Ninin, Gilles Chabert, Stéphane Le Menec, Mohamed Saad Ibn Seddik, et al.. Computing capture tubes. SCAN 2014, Université de Wurzburg, Sep 2014, Wurzburg, Germany. ⟨hal-01122023⟩
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