Synthesis of electroactive molecular clips for a supramolecular recognition of neutral molecules

Date du colloque&nbsp;: 07/2009</p

Synthèse et propriétés de clips et paniers moléculaires électro- ou photoactifs pour une reconnaissance supramoléculaire

Date du colloque&nbsp;: 09/2010</p

Synthèse de clips moléculaires électroactifs pour la reconnaissance supramoléculaire de molécules neutres planes ou tridimensionnelles

National audienc

Capture basin approximation using interval analysis

This paper proposes a new approach for computing the capture basin C of a target T. The capture basin corresponds to the set of initial state vectors such that the target could be reached in finite time via an appropriate control input, before possibly leaving the target. Whereas classical capture basin characterization does not provide any guarantee on the set of state vectors that belong to the capture basin, interval analysis and guaranteed numerical integration allow us to avoid any indetermination. We present an algorithm that is able to provide guaranteed approximation of the inner C− and the outer C+ of the capture basin, such that C−⊆C⊂C+. In order to illustrate the principle and the efficiency of the approach, a testcase on the ‘car on the hill’ problem is provided. Copyright © 2010 John Wiley &amp; Sons, Ltd

Inner and outer approximation of capture basins using interval analysis

Abstract: This paper proposes a new approach to solve the problem of computing the capture basin C of a target T. The capture basin corresponds to the set of initial states such that the target is reached in finite time before possibly leaving of constrained set. We present an algorithm, based on interval analysis, able to characterize an inner and an outer approximation C − ⊂ C ⊂ C+ of the capture basin. The resulting algorithm is illustrated on the Zermelo problem

Synthesis and properties of electro or photoactive molecular clips and baskets for a supramolecular recognition

Date du colloque&nbsp;: 05/2009</p

Optimal Control for (max,+)-linear Systems in the Presence of Disturbances

This paper deals with control of (max,+)-linear systems when a disturbance acts on system state. In a first part we synthesize the greatest control which allows to match the disturbance action. Then, we look for an output feedback which makes the disturbance matching. Formally, this problem is very close to the disturbance decoupling problem for continuous linear systems