An optimal time control problem for the one-dimensional, linear heat equation, in the presence of a scaling parameter

In this paper, we study the optimal time problem for the one-dimensional, linear heat equation, in the presence of a scaling parameter. To begin with, we build an exact solution. The dependence of this solution as regards the scaling parameter naturally opens the way to study the existence and uniqueness of an optimal time control. If, moreover, one assumes the L∞ − null controllability, it enables to establish a bang-bang type property

WITHDRAWN: Nonconvex optimization based on DC programming and DCA in the search of a global optimum of a nonconvex function

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On Measuring Inconsistency Using Maximal Consistent Sets

International audienceAn important problem in knowledge-based systems is inconsistency handling. This problem has recently been attracting a lot of attention in AI community. In this paper, we tackle the problem of evaluating the amount of conflicts in knowledge bases, and provide a new fine grained inconsistency measure, denoted MCSC, based on maximal consistent sets. In particular, it is suitable in systems where inconsistency results from multiple consistent sources. We show that our measure satisfies several rational postulates proposed in the literature. Moreover, we provide an encoding in integer linear programming for computing MCSC

On an MCS-based inconsistency measure

International audienceAn important problem in knowledge-based systems is inconsistency handling. This problem has recently been attracting a lot of attention in AI community. In this paper, we tackle the problem of evaluating the amount of conflicts in knowledge bases, and provide a new fine grained inconsistency measure, denoted |MCC, based on maximal consistent sets (MCSes). The main idea consists in quantifying the inconsistency of a knowledge base by considering that all its consistent pieces of information are possible. Furthermore, we provide an epistemic interpretation of our inconsistency measure using the multimodal logic S5. Then, we show that |MCC satisfies several state-of-the-art postulates. Moreover, we provide an encoding in integer linear programming for computing our inconsistency measure, which is defined from the set of MCSes. We also propose a Partial Max-SAT encoding, which allows us to avoid the computation of the MCSes. Finally, we provide a comparison between |MCC and two related existing inconsistency measure

Mesoporous silica synthesised from natural local kaolinas an effective adsorbant for removing of acid Red 337 and its application in the treatment ofreal industrial textile effluents

International audienceThis paper presents a synthesis of mesoporous silica (MS) from natural clay as silica sourceusing L35 pluronic(EO11PO16EO11) as structure directing agent. The prepared material wascharacterised by XRD, FRX, TGA, SEM, MET and N2 adsorption-desorption analyses. Then,mesoporous material was used for the removal of Acid Red 337 (AR337) from aqueous solution, and the treatment of real textile effluent. The effect of pH, contact time, weight of adsorbent and initial concentration wasstudied in batch adsorption. The synthesizedmesoporous material showed good discolouration efficiency with a 62% percentage. Experiment with real textile wastewater showed that 39%, 40% and 31.2% of thecolor, TOC and CODrespectively were eliminated byusing 1g of MS per litre of wastewater