Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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DYNAMIC AND CONTROLLABILITY OF A NONLINEAR WASTEWATER TREATMENT PROBLEM

  • Jourani, Abderrahim (Universite de Bourgogne, Institut de Mathematiques de Bourgogne) ;
  • Serhani, Mustapha (Equipe TSI, Department of Mathematics and Informatics, Faculty of Sciences, University Moulay Ismail) ;
  • Boutoulout, Ali (Equipe TSI, Department of Mathematics and Informatics, Faculty of Sciences, University Moulay Ismail)
  • Received : 2011.11.12
  • Accepted : 2012.03.12
  • Published : 2012.09.30
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Abstract

In this work we deal with a nonlinear dynamical system, namely the wastewater treatment model. We proceed to a dynamical analysis of the model. Invariance, boundness, controllability and the sensitivity with respect the initial conditions are studied. On the other hand, using the nonsmooth analysis tools, we look for the viability of the model, that is, the necessary and sufficient conditions under which trajectories move in a suitable time-moving sets, to avoid the washing problem (died of bacteria).

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