Rigorous global optimization for dynamic systems subject to inequality path constraints / Yao Zhao in Industrial & engineering chemistry research, Vol. 50 N° 22 (Novembre 2011)  

Public ISBD [article]  inIndustrial & engineering chemistry research > Vol. 50 N° 22 (Novembre 2011) . - pp. 12678-12693 Titre : Rigorous global optimization for dynamic systems subject to inequality path constraints Type de document : texte imprimé Auteurs : Yao Zhao, Auteur ; Mark A. Stadtherr, Auteur Année de publication : 2012 Article en page(s) : pp. 12678-12693 Note générale : Chimie industrielle Langues : Anglais (eng) Mots-clés : Optimization Résumé : A new approach is described for the rigorous global optimization of dynamic systems subject to inequality path constraints (IPCs). This method employs the sequential (control parametrization) approach and is based on techniques developed for the verified solution of parametric systems of ordinary differential equations. These techniques provide rigorous interval bounds on the state variables, and thus on the path constraints and objective function in the dynamic optimization problem. These techniques also provide explicit analytic representations (Taylor models) of these bounds in terms of the decision variables in the optimization problem. This facilitates the use of constraint propagation techniques that can greatly reduce the domain to be searched for the global optimum. Since IPCs are often related to safety concerns, we adopt a conservative, inner-approximation approach to constraint satisfaction. Through this approach, the search for the global optimum is restricted to a space in which continuous satisfaction of the IPCs is rigorously guaranteed, and an ∈-global optimum within this space is determined. Examples are presented that demonstrate the potential and computational performance of this approach. DEWEY : 660 ISSN : 0888-5885 En ligne : http://cat.inist.fr/?aModele=afficheN&cpsidt=24745742 [article] Rigorous global optimization for dynamic systems subject to inequality path constraints [texte imprimé] / Yao Zhao, Auteur ; Mark A. Stadtherr, Auteur . - 2012 . - pp. 12678-12693. Chimie industrielle Langues : Anglais (eng) in Industrial & engineering chemistry research > Vol. 50 N° 22 (Novembre 2011) . - pp. 12678-12693 Mots-clés : Optimization Résumé : A new approach is described for the rigorous global optimization of dynamic systems subject to inequality path constraints (IPCs). This method employs the sequential (control parametrization) approach and is based on techniques developed for the verified solution of parametric systems of ordinary differential equations. These techniques provide rigorous interval bounds on the state variables, and thus on the path constraints and objective function in the dynamic optimization problem. These techniques also provide explicit analytic representations (Taylor models) of these bounds in terms of the decision variables in the optimization problem. This facilitates the use of constraint propagation techniques that can greatly reduce the domain to be searched for the global optimum. Since IPCs are often related to safety concerns, we adopt a conservative, inner-approximation approach to constraint satisfaction. Through this approach, the search for the global optimum is restricted to a space in which continuous satisfaction of the IPCs is rigorously guaranteed, and an ∈-global optimum within this space is determined. Examples are presented that demonstrate the potential and computational performance of this approach. DEWEY : 660 ISSN : 0888-5885 En ligne : http://cat.inist.fr/?aModele=afficheN&cpsidt=24745742

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